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w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>Myszor</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>, D., Cyran, K., Moczulski, W.</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00B8434A" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>Improvement of the agility and manageability of an autonomous blimp</w:t></w:r><w:r w:rsidR="00D47AB5" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>Scientific Journal of Silesian University of Technology. Series Transport</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>. 202</w:t></w:r><w:r w:rsidR="00BB0893" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>6</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>1</w:t></w:r><w:r w:rsidR="00BB0893" w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>3</w:t></w:r><w:r w:rsidR="00BE10DC" w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>1</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidR="009023C1" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>1</w:t></w:r><w:r w:rsidR="007759EF" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>89</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>-</w:t></w:r><w:r w:rsidR="006037F6"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>205</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidR="007C5798" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>ISSN:</w:t></w:r><w:r w:rsidR="007F036D" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">0209-3324. </w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL"/></w:rPr><w:t>DOI:</w:t></w:r><w:r w:rsidR="00B67CC2"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL"/></w:rPr><w:t> </w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL"/></w:rPr><w:t>https://doi.org/10.20858/sjsutst.202</w:t></w:r><w:r w:rsidR="00BB0893" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL"/></w:rPr><w:t>6</w:t></w:r><w:r 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w:val="24"/><w:lang w:val="pl-PL"/></w:rPr><w:t>, Krzysztof CYRAN</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:footnoteReference w:id="4"/></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="pl-PL"/></w:rPr><w:t>, Wojciech MOCZULSKI</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:footnoteReference w:id="5"/></w:r></w:p><w:p w14:paraId="52A3E030" w14:textId="77777777" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00A55A89" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:color w:val="000000" w:themeColor="text1"/></w:rPr></w:pPr></w:p><w:p w14:paraId="73DC6B59" w14:textId="77777777" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00A55A89" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:color w:val="000000" w:themeColor="text1"/></w:rPr></w:pPr></w:p><w:p w14:paraId="6A0F3455" w14:textId="77777777" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00A55A89" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:color w:val="000000" w:themeColor="text1"/></w:rPr></w:pPr></w:p><w:p w14:paraId="64579C95" w14:textId="209EBCEA" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00B8434A" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:sz w:val="28"/><w:szCs w:val="28"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:sz w:val="28"/><w:szCs w:val="28"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">IMPROVEMENT OF THE AGILITY AND MANAGEABILITY OF </w:t></w:r><w:r w:rsidR="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:sz w:val="28"/><w:szCs w:val="28"/><w:lang w:val="en-GB"/></w:rPr><w:br/></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:sz w:val="28"/><w:szCs w:val="28"/><w:lang w:val="en-GB"/></w:rPr><w:t>AN AUTONOMOUS BLIMP</w:t></w:r></w:p><w:p w14:paraId="101EFC10" w14:textId="77777777" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00A55A89" w:rsidP="00C05DF3"><w:pPr><w:tabs><w:tab w:val="left" w:pos="8505"/></w:tabs><w:ind w:left="567" w:right="567" w:firstLine="142"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0FB8B5ED" w14:textId="435150C1" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00770B59" w:rsidP="00C05DF3"><w:pPr><w:ind w:left="540" w:right="610" w:firstLine="168"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:bCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>Summary</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00B8434A" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">This paper presents the development and experimental validation of a control-oriented numerical model and a PID-based autonomous control system for an unmanned blimp. A simplified dynamic model was implemented in the GNU Octave environment and used for the systematic tuning of vertical and horizontal propulsion controllers. Experimental identification using a full-scale blimp prototype demonstrated good agreement between simulated and real flight responses, with mean time errors below 5% and altitude errors below 1% in representative vertical </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidR="00B8434A" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>maneuvering</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidR="00B8434A" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> experiments. Indoor flight tests performed with a Pixhawk autopilot confirmed stable autonomous altitude control, with steady-state altitude deviations limited to approximately 4-5 cm, as well as reliable </w:t></w:r><w:r w:rsidR="00B8434A" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>target-point acquisition during autonomous navigation. The results demonstrate that the proposed numerical model enables fast and effective controller tuning while maintaining sufficient accuracy for real-world implementation and that the tuned PID controllers provide stable, smooth, and repeatable autonomous flight suitable for inspection and monitoring applications.</w:t></w:r></w:p><w:p w14:paraId="3C27FCD8" w14:textId="40907F2B" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00770B59" w:rsidP="00C05DF3"><w:pPr><w:ind w:left="540" w:right="610" w:firstLine="168"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:bCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>Keywords:</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00B8434A" w:rsidRPr="00C05DF3"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>inspection and monitoring, autonomous airship, control system, virtual teleportation</w:t></w:r></w:p><w:p w14:paraId="7615D30E" w14:textId="77777777" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00A55A89" w:rsidP="00C05DF3"><w:pPr><w:ind w:left="540" w:right="610" w:firstLine="168"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="6FDB59FE" w14:textId="77777777" w:rsidR="00FB65B1" w:rsidRPr="00C05DF3" w:rsidRDefault="00FB65B1" w:rsidP="00C05DF3"><w:pPr><w:ind w:left="540" w:right="610" w:firstLine="168"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="3E4ECA08" w14:textId="28382C90" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00770B59" w:rsidP="00C05DF3"><w:pPr><w:ind w:left="284" w:hanging="284"/><w:contextualSpacing/><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>1.</w:t></w:r><w:r w:rsidR="0070571E" w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:tab/></w:r><w:r w:rsidR="00092E24" w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr><w:t>INTRODUCTION</w:t></w:r></w:p><w:p w14:paraId="6FA957D1" w14:textId="77777777" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00A55A89" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="082D755E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">There is a growing trend of using unmanned aerial vehicles (UAVs) for sustained inspection and monitoring operations. Illustrative examples include the surveillance of sporting events, such as football matches; large-scale cultural events, such as outdoor concerts; and the inspection of expansive infrastructure, such as railway lines and highways. In such scenarios, where UAVs are often limited by constrained energy resources, contemporary airships are poised to assume an increasingly significant role. Recognizing this potential, the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>SkyTech</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Products Research and Development team has launched a research initiative with the objective of developing a ground-based remote-control station for UAVs, with airships representing a primary category.</w:t></w:r></w:p><w:p w14:paraId="52FC5AA8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>A review of the existing literature indicates that while advanced airship control strategies and high</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>fidelity dynamic models have been widely investigated, there remains a practical need for control</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>oriented numerical models that support the implementation and tuning of classical controllers in real aerial blimps. In particular, despite the widespread use of PID control in airship applications, the criteria and conditions for its tuning are often not explicitly discussed.</w:t></w:r></w:p><w:p w14:paraId="362ED21F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Therefore, the objective of this paper is to develop a simplified numerical model of an unmanned airship suitable for control design and to implement and tune PID controllers for vertical and horizontal propulsion systems. The proposed approach focuses on achieving stable and reliable </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>maneuvering</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>behavior</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> under representative operating conditions.</w:t></w:r></w:p><w:p w14:paraId="3D3FC91A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">This paper presents the development process of a dedicated autopilot algorithm and its implementation in software specially geared to aerial blimps. It is composed as follows: Section 3 describes a numerical model, which is further implemented in the GNU Octave simulation environment. Section 4 shows an implementation of the control algorithms on a real unmanned airship. To this end, a well-known </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>PixHawk</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> autopilot module has been implemented. The next section deals with exhaustive experiments whose goal has been to estimate and tune different parameters of the developed model. Several scenarios have been proposed, and then proper experiments were carried out whose results were </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>analyzed</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> to yield basic statistics characterizing inherent data deviation. Then, in Section 6, an experimental verification of the control algorithms is shown. The article ends with conclusions.</w:t></w:r></w:p><w:p w14:paraId="5312BC1E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="10C7A44B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="55F6791B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>2. LITERATURE REVIEW</w:t></w:r></w:p><w:p w14:paraId="6B90F2EC" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="left" w:pos="708"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="32C43A13" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The field of aviation, long dominated by fixed-wing aircraft and rotary-wing helicopters, is witnessing the resurgence of a unique aerial platform: the airship [8, 1]. These lighter-than-air vehicles, buoyed by gases such as helium, possess inherent advantages that are driving renewed interest in their development and deployment. Unlike heavier-than-air platforms, airships excel in endurance, offering prolonged flight times and efficient hovering [12]. This characteristic </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>enables a wide range of applications, from persistent surveillance and long-haul cargo transport to indoor inspections and entertainment robotics [4, 5]. However, the interaction of airships with aerodynamic forces and the challenge of achieving precise control introduce significant engineering difficulties that require advanced solutions [13].</w:t></w:r></w:p><w:p w14:paraId="2CF4CBF0" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">This review of airship control systems reveals a field combining established principles with modern innovations. The fundamental challenge lies in effectively governing airship motion, enabling navigation in three-dimensional space, maintaining orientations, and executing complex </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>maneuvers</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> with accuracy and reliability [1, 8]. Meeting these requirements demands a thorough understanding of airship dynamics, acting forces, and robust control algorithms capable of translating commands into precise actuator responses.</w:t></w:r></w:p><w:p w14:paraId="46407248" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">A major difficulty in airship control arises from their inherent </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>underactuation</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>. In contrast to multirotor drones that can control all degrees of freedom independently, airships typically have fewer control inputs than controlled motions [13]. As a result, certain movements are coupled and cannot be controlled directly; for example, lateral motion often requires prior rotation. This characteristic increases control complexity and necessitates advanced strategies to ensure stability and performance.</w:t></w:r></w:p><w:p w14:paraId="316D018F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Environmental disturbances further complicate control tasks. Due to their large surface area, airships are highly sensitive to wind effects, including gusts and turbulence, which can significantly disrupt motion and trajectory tracking [8, 9, 13]. Consequently, control systems must be robust and adaptive to maintain safe and reliable operation under varying atmospheric conditions.</w:t></w:r></w:p><w:p w14:paraId="3DE196C7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The physical design of the airship also strongly affects controllability. Parameters such as hull shape, size, and mass distribution directly influence dynamic </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>behavior</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> [4, 12]. Research has examined various geometries to balance aerodynamic efficiency and </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>maneuverability</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>, with studies highlighting the role of the slenderness ratio in stability and performance [12]. Alternative configurations, including spherical blimps equipped with tetrahedrally arranged thrusters, have been proposed to enhance agility and enable omnidirectional motion [4].</w:t></w:r></w:p><w:p w14:paraId="1262233E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Application-driven research continues to expand. Indoors, compact and highly </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>maneuverable</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> airships are considered for tasks requiring safe operation near obstacles or humans, such as confined-space inspections, vertical farm monitoring, and interactive entertainment [5, 12]. Emphasis is placed on precise low-speed motion, stable hovering, and collision avoidance. The </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>BlimpleBee</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> platform exemplifies this development trend, demonstrating the feasibility of helium-assisted vehicles for delicate inspection missions [4].</w:t></w:r></w:p><w:p w14:paraId="59EEB7EC" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>For outdoor missions, priorities shift toward endurance, payload capacity, and robustness to weather disturbances. Autonomous airships are envisioned for long-term surveillance, environmental monitoring, and cargo transport, offering efficiency advantages over conventional drones [8, 12]. These applications impose stringent requirements on control systems, including disturbance rejection, long-range navigation, and reliable stability.</w:t></w:r></w:p><w:p w14:paraId="3612ADA1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Safety and reliability are particularly critical when airships operate near people or in hazardous environments, such as disaster response scenarios [4]. Hybrid platforms that combine lighter-than-air properties with multirotor redundancy, such as the Janus system, address these concerns by enabling fallback flight modes in case of buoyancy failure [11].</w:t></w:r></w:p><w:p w14:paraId="059BCB9D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>To tackle the diverse challenges of airship control, researchers have explored a broad range of methodologies. Classical approaches, including PID control, remain widely used due to their simplicity and effectiveness for basic stabilization tasks [1, 8]. Nonetheless, their limitations in nonlinear and uncertain environments have motivated the adoption of advanced strategies.</w:t></w:r></w:p><w:p w14:paraId="44DEFC82" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Adaptive control allows online parameter adjustment to compensate for model uncertainties, while robust control methods guarantee stability under bounded disturbances [13]. Model </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>Predictive Control (MPC) exploits future-state predictions to optimize control actions, and intelligent approaches, such as reinforcement learning, are increasingly investigated to enable learning-based adaptation to complex environments [8].</w:t></w:r></w:p><w:p w14:paraId="3989E317" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Accurate dynamic </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>modeling</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> is a prerequisite for controller development and validation. This involves capturing buoyancy, aerodynamic forces, and in some cases tether interactions [1, 9]. Mathematical models derived from stability derivatives and computational fluid dynamics (CFD) analyses are commonly used for simulation-based controller design [12].</w:t></w:r></w:p><w:p w14:paraId="79D9B75A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Despite extensive research on airship aerodynamics and advanced control strategies, fewer studies address the practical implementation and tuning of classical controllers based on control-oriented numerical models. In particular, systematic procedures for selecting PID gains in underactuated airship systems remain insufficiently documented.</w:t></w:r></w:p><w:p w14:paraId="305BFB45" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Motivated by this gap, the present study focuses on developing a numerical model suitable for closed-loop simulations and investigating the implementation and tuning of PID controllers for vertical and horizontal motion control of an unmanned airship.</w:t></w:r></w:p><w:p w14:paraId="53C35E68" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="09099B8B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="50A0DC37" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>3. NUMERICAL MODEL</w:t></w:r></w:p><w:p w14:paraId="462D1713" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="4ADB1FB9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>3.1. Mathematical model</w:t></w:r></w:p><w:p w14:paraId="535CE4A8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="2DBCE2D0" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The development of the numerical model began with an analysis of existing mathematical models of blimps, including both kinematic and dynamic formulations. A brief overview of the adopted </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>modeling</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> assumptions is presented below.</w:t></w:r></w:p><w:p w14:paraId="425620FA" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="7D3BE15F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="SubsectionTitle"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:eastAsia="pl-PL"/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="16D21208" wp14:editId="140A89B6"><wp:extent cx="3392287" cy="2232000"/><wp:effectExtent l="0" t="0" r="0" b="0"/><wp:docPr id="124720487" name="Obraz 1" descr="Obraz zawierający rysowanie, szkic, diagram, ilustracja&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="1855554090" name="Obraz 1" descr="Obraz zawierający rysowanie, szkic, diagram, ilustracja&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId8" cstate="print"><a:lum bright="-20000" contrast="40000"/><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="3392287" cy="2232000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="658BE505" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Fig. 1. Reference frames and motion parameters of the blimp [14]</w:t></w:r></w:p><w:p w14:paraId="42DDCD5A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="521BDC0C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Based on the reference frames shown in Fig. 1, the inertial coordinate system is defined as follows: the </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>x</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">-axis points to True North, the </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>y</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">-axis points east, and the </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">-axis points downward. The linear velocity components in the body-fixed frame are denoted by </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>u</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> (longitudinal), </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>v </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">(lateral), and </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>w</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> (vertical). The Euler angles are defined as </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>θ</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> (pitch), </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>ϕ</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> (roll), and </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>ψ</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> (yaw), while the angular velocity components are denoted by </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>q</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, and </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>r</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>, corresponding to roll, pitch, and yaw rates, respectively.</w:t></w:r></w:p><w:p w14:paraId="56D2CB0C" w14:textId="6062176E" w:rsidR="008203D8" w:rsidRDefault="00C05DF3" w:rsidP="008203D8"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The kinematic equations of motion of the blimp can be expressed as</w:t></w:r></w:p><w:p w14:paraId="5F9B8278" w14:textId="77777777" w:rsidR="008203D8" w:rsidRDefault="008203D8" w:rsidP="008203D8"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd 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w:val="en-GB"/></w:rPr><m:t>3×3</m:t></m:r></m:sub></m:sSub></m:e></m:mr><m:mr><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>0</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>3×3</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>S</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>2</m:t></m:r></m:sub></m:sSub></m:e></m:mr></m:m></m:e></m:d><m:d><m:dPr><m:begChr m:val="["/><m:endChr m:val="]"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:dPr><m:e><m:eqArr><m:eqArrPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:eqArrPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>v</m:t></m:r></m:e><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>ω</m:t></m:r></m:e></m:eqArr></m:e></m:d><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(1)</w:t></w:r></w:p><w:p w14:paraId="3A155B2B" w14:textId="67A4AF5F" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="008203D8" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>W</w:t></w:r><w:r w:rsidR="00C05DF3" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>here</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>:</w:t></w:r></w:p><w:p w14:paraId="60575836" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="11DFF66C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><m:oMathPara><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>P=[x</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>y</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>z</m:t></m:r><m:sSup><m:sSupPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSupPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>]</m:t></m:r></m:e><m:sup><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>T</m:t></m:r></m:sup></m:sSup></m:oMath></m:oMathPara></w:p><w:p w14:paraId="57FD48CD" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w14:paraId="2ADEC9D3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>is the position vector in the inertial frame,</w:t></w:r></w:p><w:p w14:paraId="3FF165F7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="2AE1850E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><m:oMathPara><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>v=[u</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>v</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>w</m:t></m:r><m:sSup><m:sSupPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSupPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>]</m:t></m:r></m:e><m:sup><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>T</m:t></m:r></m:sup></m:sSup></m:oMath></m:oMathPara></w:p><w:p w14:paraId="28BA3923" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w14:paraId="0B2EBF65" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>is the linear velocity vector expressed in the body-fixed frame,</w:t></w:r></w:p><w:p w14:paraId="1B714AB4" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="644B9A07" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><m:oMathPara><m:oMath><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>Ω</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>=[ϕ</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>θ</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>ψ</m:t></m:r><m:sSup><m:sSupPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSupPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>]</m:t></m:r></m:e><m:sup><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>T</m:t></m:r></m:sup></m:sSup></m:oMath></m:oMathPara></w:p><w:p w14:paraId="4360F90D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w14:paraId="7A3F40E2" w14:textId="527313F9" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>is the vector of Euler angles, and</w:t></w:r></w:p><w:p w14:paraId="67A92425" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="5EDC9DFE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><m:oMathPara><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>ω=[p</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>q</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>r</m:t></m:r><m:sSup><m:sSupPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSupPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>]</m:t></m:r></m:e><m:sup><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>T</m:t></m:r></m:sup></m:sSup></m:oMath></m:oMathPara></w:p><w:p w14:paraId="50A61175" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w14:paraId="0DF89CD5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">is the angular velocity vector. The matrices </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>S</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>1</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>S</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>2</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>represent the rotation matrix and the kinematic transformation matrix, respectively.</w:t></w:r></w:p><w:p w14:paraId="15A55D5D" w14:textId="424EB427" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The dynamic </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>behavior</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of the airship is described using the Newton-Euler formalism</w:t></w:r></w:p><w:p w14:paraId="03FB854A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" 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w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>g</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>×</m:t></m:r><m:d><m:dPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:dPr><m:e><m:acc><m:accPr><m:chr m:val="̇"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:accPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>v</m:t></m:r></m:e></m:acc><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>+</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>ω</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>×</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>v</m:t></m:r></m:e></m:d><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00853A01"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(3)</w:t></w:r></w:p><w:p w14:paraId="20DFA3A5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="3E95ADC9" w14:textId="50C5760D" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">where </w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>F</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> and </w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>τ</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> denote the resultant external forces and moments acting on the vehicle, including aerodynamic forces, buoyancy, gravity, and propulsive thrust. The vector</w:t></w:r></w:p><w:p w14:paraId="0F38BE61" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0EEC5839" w14:textId="36731058" w:rsidR="00C05DF3" w:rsidRPr="00853A01" w:rsidRDefault="008203D8" w:rsidP="008203D8"><w:pPr><w:tabs><w:tab w:val="center" w:pos="4536"/><w:tab w:val="right" w:pos="9070"/></w:tabs><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00853A01"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/></w:r><m:oMath><m:m><m:mPr><m:plcHide m:val="1"/><m:mcs><m:mc><m:mcPr><m:count m:val="4"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:mPr><m:mr><m:e/><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>r</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>g</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=[</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>x</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>g</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>y</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>g</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>z</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>g</m:t></m:r></m:sub></m:sSub><m:sSup><m:sSupPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSupPr><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>]</m:t></m:r></m:e><m:sup><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>T</m:t></m:r></m:sup></m:sSup></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00853A01"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(4)</w:t></w:r></w:p><w:p w14:paraId="1C01330A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="750FC02D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">represents the displacement of the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>center</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of gravity (CG) relative to the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>center</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of volume (CV). The inertia tensor with respect to the origin of the body</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>fixed frame is defined as</w:t></w:r></w:p><w:p w14:paraId="784C6B5D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="26BFDA14" w14:textId="6BF06F1B" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="008203D8" w:rsidP="008203D8"><w:pPr><w:tabs><w:tab w:val="center" w:pos="4536"/><w:tab w:val="right" w:pos="9070"/></w:tabs><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/></w:r><m:oMath><m:m><m:mPr><m:plcHide m:val="1"/><m:mcs><m:mc><m:mcPr><m:count m:val="4"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:mPr><m:mr><m:e/><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>0</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:d><m:dPr><m:begChr m:val="["/><m:endChr m:val="]"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:dPr><m:e><m:m><m:mPr><m:plcHide m:val="1"/><m:mcs><m:mc><m:mcPr><m:count m:val="3"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:mPr><m:mr><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>x</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>xy</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>xz</m:t></m:r></m:sub></m:sSub></m:e></m:mr><m:mr><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>yx</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>y</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>yz</m:t></m:r></m:sub></m:sSub></m:e></m:mr><m:mr><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>zx</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>zy</m:t></m:r></m:sub></m:sSub></m:e><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>z</m:t></m:r></m:sub></m:sSub></m:e></m:mr></m:m></m:e></m:d></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(5)</w:t></w:r></w:p><w:p w14:paraId="291DFE85" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="7EB9F234" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">with the symmetry conditions </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>xy</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>yx</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>xz</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>zx</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>yz</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>zy</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="3E8DB671" w14:textId="09FD50A2" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The mass </w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>m</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> in </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Eqs</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidR="008203D8" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>(2)-(3) denotes the total effective mass of the airship, including the envelope, gondola, propulsion system, and payload.</w:t></w:r></w:p><w:p w14:paraId="5D9CE923" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The total mass and inertia were </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>modeled</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> as sums of rigid</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>body and added</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>mass contributions</w:t></w:r></w:p><w:p w14:paraId="67A8C69E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="50D8929C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><m:oMathPara><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>m=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>m</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>RB</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>+</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>m</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>A</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>,</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>0</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>RB</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>+</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>A</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>,</m:t></m:r></m:oMath></m:oMathPara></w:p><w:p w14:paraId="1F7D4423" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w14:paraId="23ABC7E9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="008203D8"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">where </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>m</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>RB</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>RB</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> are the rigid</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">body mass and inertia tensor, while </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>m</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>A</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>I</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>A</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> represent the added mass and added inertia arising from the acceleration of the surrounding air.</w:t></w:r></w:p><w:p w14:paraId="0352A1C2" w14:textId="77777777" w:rsidR="008203D8" w:rsidRPr="00EE470B" w:rsidRDefault="008203D8" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="1020FD47" w14:textId="560B1C89" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>The added</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>mass terms were estimated using an ellipsoidal approximation of the airship envelope. The hull was approximated as a prolate spheroid whose principal axes correspond to the longitudinal and transversal dimensions of the envelope. Under the assumption of inviscid potential flow, the added mass and added inertia coefficients were determined as functions of the airship geometry and the displaced air volume.</w:t></w:r></w:p><w:p w14:paraId="5CA15925" w14:textId="69C94BC2" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The added</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>mass and added</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">inertia contributions were incorporated directly into the effective mass and inertia terms in </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Eqs</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidR="008203D8"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">(2)-(5). This formulation is well suited for </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>maneuvering</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> simulations and ensures a physically consistent representation of translational and rotational fluid-structure interaction effects.</w:t></w:r></w:p><w:p w14:paraId="34E5BDCE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Further details of the mathematical background and parameter estimation methods can be found in [2, 6, 7, 10, 14].</w:t></w:r></w:p><w:p w14:paraId="6CAF47BF" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The main objective of this study was the implementation and tuning of PID controllers for the vertical and horizontal propulsion systems. For vertical motion control, the following control law was applied:</w:t></w:r></w:p><w:p w14:paraId="1B606845" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="5C8CD889" w14:textId="502A6445" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00EE470B" w:rsidP="008203D8"><w:pPr><w:tabs><w:tab w:val="center" w:pos="4536"/><w:tab w:val="right" w:pos="9070"/></w:tabs><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/></w:r><m:oMath><m:m><m:mPr><m:plcHide m:val="1"/><m:mcs><m:mc><m:mcPr><m:count m:val="4"/><m:mcJc 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m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>dh</m:t></m:r></m:sub></m:sSub><m:acc><m:accPr><m:chr m:val="̇"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:accPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>z</m:t></m:r></m:e></m:acc><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(6)</w:t></w:r></w:p><w:p w14:paraId="225BE5D3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="3A8C9244" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">where </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>u</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>z</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">is the vertical thrust ratio, </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>e</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>z</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> is the altitude error, </w:t></w:r><m:oMath><m:acc><m:accPr><m:chr m:val="̇"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:accPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>z</m:t></m:r></m:e></m:acc></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">is the vertical velocity, and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>p</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>h</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>i</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>h</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>d</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>h</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> are the proportional, integral, and derivative gains, respectively.</w:t></w:r></w:p><w:p w14:paraId="3DD40089" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Yaw motion was controlled by differential thrust of the horizontal propellers</w:t></w:r></w:p><w:p w14:paraId="09256CB4" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="7BC7DC33" w14:textId="26C9BDC8" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00EE470B" w:rsidP="00EE470B"><w:pPr><w:tabs><w:tab w:val="center" w:pos="4536"/><w:tab w:val="right" w:pos="9070"/></w:tabs><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/></w:r><m:oMath><m:m><m:mPr><m:plcHide m:val="1"/><m:mcs><m:mc><m:mcPr><m:count m:val="4"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:mPr><m:mr><m:e/><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>u</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>r</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>pv</m:t></m:r></m:sub></m:sSub><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>e</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>ψ</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>+</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>iv</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>∫</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>e</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>ψ</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>dt</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>dv</m:t></m:r></m:sub></m:sSub><m:acc><m:accPr><m:chr m:val="̇"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:accPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>ψ</m:t></m:r></m:e></m:acc><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(7)</w:t></w:r></w:p><w:p w14:paraId="3D57942D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="63DC61BB" w14:textId="14E53A90" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00EE470B" w:rsidP="00EE470B"><w:pPr><w:tabs><w:tab w:val="center" w:pos="4536"/><w:tab w:val="right" w:pos="9070"/></w:tabs><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/></w:r><m:oMath><m:m><m:mPr><m:plcHide m:val="1"/><m:mcs><m:mc><m:mcPr><m:count m:val="4"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:mPr><m:mr><m:e/><m:e><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>u</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>l</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>pv</m:t></m:r></m:sub></m:sSub><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>e</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>ψ</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>-</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>iv</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>∫</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>e</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>ψ</m:t></m:r></m:sub></m:sSub><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>dt</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>+</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>dv</m:t></m:r></m:sub></m:sSub><m:acc><m:accPr><m:chr m:val="̇"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr></m:ctrlPr></m:accPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>ψ</m:t></m:r></m:e></m:acc><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r></m:e><m:e/><m:e/></m:mr></m:m></m:oMath><w:r w:rsidR="00C05DF3" w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:tab/><w:t>(8)</w:t></w:r></w:p><w:p w14:paraId="189E258B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0612FA79" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00EE470B"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">where </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>u</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>r</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>u</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>l</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">denote the right and left thrust ratios, </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>e</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>ψ</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> is the yaw angle error, </w:t></w:r><m:oMath><m:acc><m:accPr><m:chr m:val="̇"/><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:accPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>ψ</m:t></m:r></m:e></m:acc></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> is the yaw rate, and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>pv</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>iv</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, and </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>dv</m:t></m:r></m:sub></m:sSub></m:oMath><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> are the controller gains.</w:t></w:r></w:p><w:p w14:paraId="211FB78B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="58D12331" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>3.2. Implementation of the blimp numerical model</w:t></w:r></w:p><w:p w14:paraId="6A3FE484" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="302E945D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The numerical model incorporates the following elements:</w:t></w:r></w:p><w:p w14:paraId="05FE89A8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3"><w:pPr><w:numPr><w:ilvl w:val="0"/><w:numId w:val="54"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>geometric properties, such as longitudinal and transversal cross-section dimensions;</w:t></w:r></w:p><w:p w14:paraId="10F3ABA8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3"><w:pPr><w:numPr><w:ilvl w:val="0"/><w:numId w:val="54"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>mass properties, including mass distribution and moments of inertia;</w:t></w:r></w:p><w:p w14:paraId="6F0CF34B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3"><w:pPr><w:numPr><w:ilvl w:val="0"/><w:numId w:val="54"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>thruster characteristics, specifically thrust generation;</w:t></w:r></w:p><w:p w14:paraId="5EDE64FA" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3"><w:pPr><w:numPr><w:ilvl w:val="0"/><w:numId w:val="54"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>aerodynamic properties, such as drag coefficients;</w:t></w:r></w:p><w:p w14:paraId="14D4B7D8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3"><w:pPr><w:numPr><w:ilvl w:val="0"/><w:numId w:val="54"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>external disturbances, including wind direction and speed.</w:t></w:r></w:p><w:p w14:paraId="5E61BC26" w14:textId="77777777" w:rsidR="00EE470B" w:rsidRDefault="00EE470B" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="3F9D97F6" w14:textId="552A99F9" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The aerodynamic forces were </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>modeled</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> using a simplified quasi</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>static formulation. The drag forces along the principal body axes were assumed to be proportional to the corresponding velocity components. Lift and side</w:t></w:r><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">force effects were neglected due to the low operating speeds and small angles of attack considered in the simulations. This level of </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>modeling</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> detail was found sufficient for control design and performance evaluation purposes.</w:t></w:r></w:p><w:p w14:paraId="1BDB7E94" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00EE470B" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The model was developed based on the approaches described in [2, 3] and implemented using the ode45 solver. With appropriate solver configuration, the model generates time histories of key state variables, including spatial position, Euler angles (yaw and pitch), thrust commands for vertical and horizontal propellers (left and right), linear velocities, and angular velocities.</w:t></w:r></w:p><w:p w14:paraId="4E93AECF" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>The PID controller parameters were selected based on closed</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>loop simulation studies. The tuning criteria included stability of the airship motion, acceptable settling time, limited overshoot in altitude and yaw responses, and smooth actuator commands within admissible thrust limits. The parameters were adjusted under representative operating conditions relevant to low</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">speed </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>maneuvering</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> tasks.</w:t></w:r></w:p><w:p w14:paraId="12A61A23" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Simulation results obtained using the numerical model are presented in the second part of this paper.</w:t></w:r></w:p><w:p w14:paraId="09456984" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="46ED944A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="235EC296" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00EE470B"><w:pPr><w:ind w:left="284" w:hanging="284"/><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>4. INTEGRATION OF THE BLIMP CONTROL MODEL WITH PIXHAWK AUTOPILOT</w:t></w:r></w:p><w:p w14:paraId="055BB6F5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="2A868CE7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>4.1. Geometrical properties of the blimp prototype</w:t></w:r></w:p><w:p w14:paraId="06D840BB" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="3137EC00" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t>Figure 2 shows the physical blimp prototype used in this study, while Figure 1 presents a schematic representation of the adopted reference frames and motion parameters.</w:t></w:r></w:p><w:p w14:paraId="496579F7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="5504DAE3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="7351C58F" wp14:editId="2314F2DE"><wp:extent cx="3671945" cy="3060000"/><wp:effectExtent l="0" t="0" r="5080" b="7620"/><wp:docPr id="1155991064" name="Obraz 45" descr="Obraz zawierający transport, statek powietrzny, tekst, sterowiec&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="1155991064" name="Obraz 45" descr="Obraz zawierający transport, statek powietrzny, tekst, sterowiec&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill rotWithShape="1"><a:blip r:embed="rId9" cstate="print"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect b="3487"/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="3671945" cy="3060000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln><a:extLst><a:ext uri="{53640926-AAD7-44D8-BBD7-CCE9431645EC}"><a14:shadowObscured xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main"/></a:ext></a:extLst></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="364E0E5B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr></w:p><w:p w14:paraId="6B89955E" w14:textId="4A974077" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Fig. 2. The blimp prototype: </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>T</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>r</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> – right horizontal thrust, </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>T</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> – left horizontal thrust, </w:t></w:r><w:r w:rsidR="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:br/></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>T</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>z</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> – vertical thrust</w:t></w:r></w:p><w:p w14:paraId="18342EF6" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="24FA57EE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t>The geometry of the airship envelope was approximated using an ellipsoidal model, consistent with the schematic representation shown in Fig. 1. The hull can be described as a prolate spheroid with semi</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">axes </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>a</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>b</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, and </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>c</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, where </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>a</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">corresponds to the longitudinal axis and </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>b</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>c</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">to the transversal axes. For the prototype used in this study, the overall length of the envelope was approximately </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>L</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=4.0</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>m</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, while its maximum diameter was approximately </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>d</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=2.0</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>m</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t>. This corresponds to semi</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">axes </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>a</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=2.0</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>m</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">and </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>b</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>c</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=1.0</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><m:t> </m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>m</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, yielding a slenderness ratio </w:t></w:r><m:oMath><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>L</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>/</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>d</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=2.0</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="18372C86" w14:textId="77777777" w:rsidR="00EE470B" w:rsidRDefault="00EE470B"><w:pPr><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:br w:type="page"/></w:r></w:p><w:p w14:paraId="330C00A8" w14:textId="48B6646B" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>These geometric parameters were used to estimate the displaced air volume and to determine the added</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>mass and added</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t>inertia coefficients employed in the numerical model. The ellipsoidal approximation provides a reasonable balance between physical accuracy and computational simplicity and is commonly adopted in control</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:noBreakHyphen/><w:t xml:space="preserve">oriented </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t>modeling</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of airships.</w:t></w:r></w:p><w:p w14:paraId="6E81F389" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr><w:t>The stabilizing surfaces visible in Fig. 1 represent simplified tail fins intended primarily to enhance passive directional stability. Due to their small size and integration with the envelope, these surfaces are not clearly distinguishable in the photograph of the prototype shown in Fig. 2. In the current configuration, active control authority is provided exclusively by the vertical and horizontal propellers, while the stabilizing surfaces contribute only to passive aerodynamic damping and static stability effects, which are implicitly represented in the simplified aerodynamic model.</w:t></w:r></w:p><w:p w14:paraId="0A68CC0E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="7168DD2B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>4.2. The idea of autonomous control</w:t></w:r></w:p><w:p w14:paraId="5EF9C1A4" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="2E8696B5" w14:textId="5176E194" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Figure</w:t></w:r><w:r w:rsidR="00EE470B"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>3 presents the conceptual architecture of the autonomous control system implemented for the blimp.</w:t></w:r></w:p><w:p w14:paraId="7C506755" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="33990FF5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="75B5E21F" wp14:editId="06D2285D"><wp:extent cx="5219885" cy="1609725"/><wp:effectExtent l="0" t="0" r="0" b="0"/><wp:docPr id="1716332334" name="Obraz 44" descr="Obraz zawierający tekst, Czcionka, zrzut ekranu, linia&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="1716332334" name="Obraz 44" descr="Obraz zawierający tekst, Czcionka, zrzut ekranu, linia&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId10" cstate="print"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="5228978" cy="1612529"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="1205E906" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr></w:p><w:p w14:paraId="07C93571" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Fig. 3. Idea of an autonomous control system</w:t></w:r></w:p><w:p w14:paraId="4D13F49C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="119BE63B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The control of the flight consists of two independent control loops:</w:t></w:r></w:p><w:p w14:paraId="24DC2BF1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Vertical movement control – the height of the blimp above the ground (altitude) is continuously controlled by vertical thrust (</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>T</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>) and based on:</w:t></w:r></w:p><w:p w14:paraId="2D8E9378" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="1"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>altitude error calculated from the measurement of distance to the ground (</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>) using a laser distance sensor mounted on the bottom of the nacelle;</w:t></w:r></w:p><w:p w14:paraId="51BC310B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="1"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>vertical speed obtained by numerical differentiation of the altitude measurement (</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">) or directly from the IMU in the Pixhawk. </w:t></w:r></w:p><w:p w14:paraId="3BB253A7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Horizontal movement control – the horizontal position of the blimp is continuously controlled by the left (</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>T</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>) and right (</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>T</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>r</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>) thrusts and based on the following:</w:t></w:r></w:p><w:p w14:paraId="434013A5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="1"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>horizontal position error calculated from the actual GPS data and target point;</w:t></w:r></w:p><w:p w14:paraId="0C3E82F3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="1"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>angle error calculated from the compass data, actual and target point;</w:t></w:r></w:p><w:p w14:paraId="55326E3B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="1"/><w:numId w:val="47"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>yaw rate calculated from the gyroscope data – however, this information is not used at this stage and will be incorporated in future work.</w:t></w:r></w:p><w:p w14:paraId="0ABBB1FE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="5DA8079B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>4.3. Autonomous flight controller</w:t></w:r></w:p><w:p w14:paraId="1238B734" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="24D8FCF7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The blimp control system was implemented using a Pixhawk flight controller. A dedicated module, named </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>blimp_control</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>, was developed in accordance with the PX4 Development Guide.</w:t></w:r></w:p><w:p w14:paraId="336D569D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t xml:space="preserve">In the standard PX4 </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>Airship</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> configuration, thrust vectoring is handled within the mixer, allowing tilting actuators to simultaneously affect multiple motion axes. This results in a coupled control structure. In contrast, the proposed control system is tailored to the specific blimp configuration and employs a decoupled approach: two fixed horizontal propellers generate forward motion and yaw through differential thrust, while dedicated vertical propellers independently regulate altitude. This separation simplifies the control design and improves the transparency of the control structure.</w:t></w:r></w:p><w:p w14:paraId="04A0986F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve">The </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>blimp_control</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> module:</w:t></w:r></w:p><w:p w14:paraId="2004942C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="48"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>implements a PID controller for vertical motion (altitude) control;</w:t></w:r></w:p><w:p w14:paraId="6AB51826" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="48"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>implements a simplified rule</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:noBreakHyphen/><w:t>based controller for horizontal motion and navigation. A PID</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:noBreakHyphen/><w:t>based controller, previously developed and validated in numerical simulations (see Section 3), is planned to be implemented in future work.</w:t></w:r></w:p><w:p w14:paraId="406C648A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>blimp_control</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> module uses a set of configurable parameters that can be adjusted in real--time using </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>QGroundControl</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> via the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>MAVLink</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> communication protocol, without the need to reprogram or restart the autopilot.</w:t></w:r></w:p><w:p w14:paraId="1959C9D8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="24A1106D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="51FFFED6" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>5. EXPERIMENTS FOR TUNING MODEL PARAMETERS</w:t></w:r></w:p><w:p w14:paraId="64E03E64" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="09C67CB1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The identification of the blimp parameters consisted of:</w:t></w:r></w:p><w:p w14:paraId="1EAA372B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="56"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Development of experiments scenarios.</w:t></w:r></w:p><w:p w14:paraId="03132E30" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="56"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Conduct experiments using the physical blimp model.</w:t></w:r></w:p><w:p w14:paraId="11DF9872" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="56"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Analysis of the measurement results.</w:t></w:r></w:p><w:p w14:paraId="49E7F8F3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="56"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>The choice of the parameter values for the mathematical model.</w:t></w:r></w:p><w:p w14:paraId="63466136" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="1E0C33C7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>5.1. Scenarios of experiments</w:t></w:r></w:p><w:p w14:paraId="552B26FE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="7383C5F9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The purpose of the development of scenarios was to measure the response of the parameter values of the physical blimp model to known values of external impacts. The description of one of four example scenarios is presented below.</w:t></w:r></w:p><w:p w14:paraId="214ECA49" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="66B30A7D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00EE470B"><w:pPr><w:pStyle w:val="Tekstpodstawowywcity"/><w:tabs><w:tab w:val="right" w:pos="8931"/></w:tabs><w:ind w:firstLine="0"/><w:contextualSpacing/><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:tab/><w:t xml:space="preserve">Tab. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:fldChar w:fldCharType="begin"/></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:instrText xml:space="preserve"> SEQ Table \* ARABIC </w:instrText></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:fldChar w:fldCharType="separate"/></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>1</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:fldChar w:fldCharType="end"/></w:r></w:p><w:p w14:paraId="7DA6518C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Tekstpodstawowywcity"/><w:ind w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Scenario example</w:t></w:r></w:p><w:p w14:paraId="70935687" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Tekstpodstawowywcity"/><w:ind w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:bCs/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:tbl><w:tblPr><w:tblW w:w="9209" w:type="dxa"/><w:jc w:val="center"/><w:tblBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:insideH w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:insideV w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tblBorders><w:tblLayout w:type="fixed"/><w:tblCellMar><w:left w:w="0" w:type="dxa"/><w:right w:w="0" w:type="dxa"/></w:tblCellMar><w:tblLook w:val="0600" w:firstRow="0" w:lastRow="0" w:firstColumn="0" w:lastColumn="0" w:noHBand="1" w:noVBand="1"/></w:tblPr><w:tblGrid><w:gridCol w:w="1271"/><w:gridCol w:w="7938"/></w:tblGrid><w:tr w:rsidR="00C05DF3" w:rsidRPr="00853A01" w14:paraId="2212BE3B" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="335"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1271" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar></w:tcPr><w:p w14:paraId="5F6B5DD2" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Name</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="7938" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar></w:tcPr><w:p w14:paraId="34FB26F8" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Changing the vertical thrust to the opposite</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C05DF3" w:rsidRPr="00853A01" w14:paraId="4B5BB9DA" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="1651"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1271" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="44189182" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Stages</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="7938" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="7D930B47" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="49"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Place the blimp at a height of about 1 m.</w:t></w:r></w:p><w:p w14:paraId="0D24A7F2" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="49"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Free the blimp and simultaneously run the vertical thrust fan (</w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>VFan</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>) at 20% for 8 s.</w:t></w:r></w:p><w:p w14:paraId="524B99D9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="49"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Then, after 8 s from the beginning of the experiment, run the vertical thrust fan (</w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>VFan</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>) at -20% for 4 s.</w:t></w:r></w:p><w:p w14:paraId="3959F6BE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="49"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Leave the blimp until it falls to ground level.</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C05DF3" w:rsidRPr="00853A01" w14:paraId="3A465A60" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="350"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1271" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="18F5D071" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Expected behavior</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="7938" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="294A3646" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="50"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>The blimp should lower its initial height.</w:t></w:r></w:p><w:p w14:paraId="1F10F040" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="50"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Then, the blimp should increase its height, even after turning off the fan of the vertical thrust.</w:t></w:r></w:p><w:p w14:paraId="67DD9267" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="50"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>After the reverse vertical thrust is turned on, the blimp should quickly reduce its height (even when the fan is turned off) until the ground level is reached.</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C05DF3" w:rsidRPr="00853A01" w14:paraId="2E2DC1A3" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="852"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1271" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="3805F05D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:lastRenderedPageBreak/><w:t>Observed features</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="7938" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="56E2F14E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="51"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Maximum altitude measured from the ground.</w:t></w:r></w:p><w:p w14:paraId="5B502F27" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="51"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:ind w:left="223" w:hanging="223"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>The time to climb to the maximum altitude and the time to descend from the maximum altitude to the ground level.</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C05DF3" w:rsidRPr="00853A01" w14:paraId="63378B83" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="930"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1271" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="2C6A5538" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Comments</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="7938" w:type="dxa"/><w:tcMar><w:top w:w="28" w:type="dxa"/><w:left w:w="60" w:type="dxa"/><w:bottom w:w="28" w:type="dxa"/><w:right w:w="60" w:type="dxa"/></w:tcMar><w:hideMark/></w:tcPr><w:p w14:paraId="0654185E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>If the expected behavior of the blimp is not consistent with the description, it is possible to extend or shorten the duration of the vertical thrust of the fan, or reduce the thrust.</w:t></w:r></w:p></w:tc></w:tr></w:tbl><w:p w14:paraId="64F017B9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="SubsectionTitle"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w14:paraId="69CB0D10" w14:textId="708855AD" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>5.2</w:t></w:r><w:r w:rsidR="0003084F"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Results of experiments using the real blimp model</w:t></w:r></w:p><w:p w14:paraId="2DC11E7E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="64BB8F07" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The scenario described above was the basis for conducting experiments on the real model of a blimp. Each experiment was performed 10 times, and the obtained data were subjected to statistical analysis (see Tab. 2). </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve">The </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>following</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>features</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>have</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>been</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>recorded</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t>:</w:t></w:r></w:p><w:p w14:paraId="0A6AF5C9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>horizontal and vertical thrust;</w:t></w:r></w:p><w:p w14:paraId="4463C542" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>unbalance weight;</w:t></w:r></w:p><w:p w14:paraId="42935961" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>starting altitude;</w:t></w:r></w:p><w:p w14:paraId="29D8C75D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>maximum altitude;</w:t></w:r></w:p><w:p w14:paraId="7C650E8D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>time of positive and negative thrust;</w:t></w:r></w:p><w:p w14:paraId="4BEC3A46" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>time of climb; and</w:t></w:r></w:p><w:p w14:paraId="40845D6E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="46"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs 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w14:paraId="3808CAAB" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDN w:val="0"/><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="992" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="4453DE95" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang 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w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="633B5932" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Starting altitude [m]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1190" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="76D9AE80" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Maximum altitude [m]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1043" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="18084E74" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Duration of positive thrust [s]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="702" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="11B665A0" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Climb time [s]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1115" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="1D65686B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Duration of negative thrust [s]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="926" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="56639AAD" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Descent</w:t></w:r></w:p><w:p w14:paraId="4631B577" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>time [s]</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w14:paraId="552CC841" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="284"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="993" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="5DB4B5C3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDN w:val="0"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>Average</w:t></w:r><w:proofErr w:type="spellEnd"/></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="992" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="78ADDE77" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>62,7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1276" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="413C7943" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>18,2</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="850" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="4804C6E5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>1</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1190" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="7A4F2AEF" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>5,43</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1043" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="4A2F1AAB" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>8,4</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="702" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="0C1EF81A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>8,5</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1115" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="1B20B917" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>5,0</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="926" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="5169714F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Bezodstpw"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>22,8</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w14:paraId="0B472B45" w14:textId="77777777" w:rsidTr="00CD4488"><w:trPr><w:trHeight w:val="284"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="993" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="320B3650" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDN w:val="0"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>Std</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve">. </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>deviation</w:t></w:r><w:proofErr w:type="spellEnd"/></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="992" w:type="dxa"/><w:tcMar><w:top w:w="0" w:type="dxa"/><w:left w:w="28" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/><w:right w:w="28" w:type="dxa"/></w:tcMar><w:vAlign w:val="center"/><w:hideMark/></w:tcPr><w:p w14:paraId="732F6696" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" 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The result of tuning the numerical model with the estimated error</w:t></w:r></w:p><w:p w14:paraId="263C23B7" w14:textId="394BC7D5" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>5.3</w:t></w:r><w:r w:rsidR="0003084F"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Tuning of the blimp numerical model</w:t></w:r></w:p><w:p w14:paraId="6C32F500" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="79EDF2D0" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The aim of the numerical model tuning process was to adjust its parameters to the values of the features measured during the experiments using the real blimp model. The basic criterion was to minimize the time and distance errors for each experiment, assuming the same values as the numerical model of the blimp. The example of tuning characteristics, in the case of changing the vertical thrust to the opposite, is shown in Fig. 4. In this experiment, the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>mean time</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> error is equal to 4.84% (2.16[s]) and the mean z-length error (height) is equal to -0.43% (0.024[m]).</w:t></w:r></w:p><w:p w14:paraId="7D9657A3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="SubsectionTitle"/><w:contextualSpacing/><w:rPr><w:b/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0BAD0473" w14:textId="2B3E0521" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="SubsectionTitle"/><w:contextualSpacing/><w:jc w:val="left"/><w:rPr><w:b/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>5.4</w:t></w:r><w:r w:rsidR="0003084F"><w:rPr><w:b/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:bCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> Examples of simulations using the controller numerical model</w:t></w:r></w:p><w:p w14:paraId="0790698D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="4A2DFB6C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">In the case of the vertical thrust controller, the mission focused on maintaining the flight altitude at 15-7.5-15 [m], with variable wind in the range &lt;-1; 1&gt; [m/s]. The results for the vertical thrust PID controller model with "soft" settings, for </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:i/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>pv</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t>0.2</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>iv</m:t></m:r><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:i/></w:rPr></m:ctrlPr></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t>0.16</m:t></m:r><m:r><m:rPr><m:sty m:val="p"/></m:rPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>,</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>dv</m:t></m:r><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:i/></w:rPr></m:ctrlPr></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t>4.8</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">, have been shown in Fig. 5. </w:t></w:r></w:p><w:p w14:paraId="611336B9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="18599E9B" wp14:editId="05579929"><wp:extent cx="3373200" cy="2700000"/><wp:effectExtent l="0" t="0" r="0" b="5715"/><wp:docPr id="916211699" name="Obraz 3" descr="Obraz zawierający Wykres, linia, tekst, diagram&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="916211699" name="Obraz 3" descr="Obraz zawierający Wykres, linia, tekst, diagram&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId12"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="3373200" cy="2700000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="328B28C3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Fig. 5. The result of the numerical simulation: keeping altitude with wind</w:t></w:r></w:p><w:p w14:paraId="1FA78853" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="79259690" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">In the case of the horizontal thruster controller, the purpose was to fly in proximity of four points, defining a square under a side of 30 [m], with the assumption of lack of wind. The results of this simulation are shown in Fig. 6. The flight time was set at 500 [s]. PID parameters: </w:t></w:r><m:oMath><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:i/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>p</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>h</m:t></m:r></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t>0.35,</m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t xml:space="preserve"> </m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>i</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>h</m:t></m:r><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:i/></w:rPr></m:ctrlPr></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t xml:space="preserve">0.1, </m:t></m:r><m:sSub><m:sSubPr><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr></m:ctrlPr></m:sSubPr><m:e><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>K</m:t></m:r></m:e><m:sub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/></w:rPr><m:t>d</m:t></m:r><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>h</m:t></m:r><m:ctrlPr><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:i/></w:rPr></m:ctrlPr></m:sub></m:sSub><m:r><w:rPr><w:rFonts w:ascii="Cambria Math" w:hAnsi="Cambria Math"/><w:lang w:val="en-GB"/></w:rPr><m:t>=</m:t></m:r><m:r><m:rPr><m:nor/></m:rPr><w:rPr><w:lang w:val="en-GB"/></w:rPr><m:t>0.70</m:t></m:r></m:oMath><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="320E1E48" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The results of a similar mission as before, but in the case of variable wind in the range </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:br/><w:t>of &lt;-1; 1&gt; [m/s], are shown in Fig. 7.</w:t></w:r></w:p><w:p w14:paraId="487FA409" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00DE03CE" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:contextualSpacing/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="63C4C89B" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00DE03CE" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:contextualSpacing/><w:rPr><w:bCs/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0F50CC43" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00C05DF3" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:ind w:left="284" w:hanging="284"/><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">6. EXPERIMENTAL VERIFICATION OF AUTONOMOUS CONTROL OF </w:t></w:r><w:r><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:br/></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>THE BLIMP</w:t></w:r></w:p><w:p w14:paraId="29B8D3AC" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00C05DF3" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="329D4334" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00C05DF3" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>6.1. Balancing the blimp</w:t></w:r></w:p><w:p w14:paraId="5627F3F0" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00C05DF3" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="55C6140E" w14:textId="77777777" w:rsidR="00DE03CE" w:rsidRPr="00C05DF3" w:rsidRDefault="00DE03CE" w:rsidP="00DE03CE"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">During the experiments, it was observed that the helium inside the envelope of the blimp evaporates over time. In consequence, the blimp becomes unbalanced, i.e., overloaded. It is extremely important to keep the blimp well balanced when developing altitude control </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>algorithms. To do that, a bottle filled with salt has loaded the blimp. The amount of salt was constantly monitored.</w:t></w:r></w:p><w:p w14:paraId="62AC6F52" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0C377B5A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="7A31CC1B" wp14:editId="4118EEAF"><wp:extent cx="3596400" cy="2700000"/><wp:effectExtent l="0" t="0" r="4445" b="5715"/><wp:docPr id="1854062830" name="Obraz 2" descr="Obraz zawierający diagram, linia, Wykres, tekst&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="1854062830" name="Obraz 2" descr="Obraz zawierający diagram, linia, Wykres, tekst&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId13" cstate="print"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="3596400" cy="2700000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="2A689D66" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Fig. 6. The result of numerical simulation: flying in the proximity to four points without wind</w:t></w:r></w:p><w:p w14:paraId="0A6B1186" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w14:paraId="488BEF63" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Style10ptJustified"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="5F827B02" wp14:editId="748991CD"><wp:extent cx="3592800" cy="2700000"/><wp:effectExtent l="0" t="0" r="8255" b="5715"/><wp:docPr id="806345588" name="Obraz 1" descr="Obraz zawierający diagram, linia, Wykres&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="806345588" name="Obraz 1" descr="Obraz zawierający diagram, linia, Wykres&#xA;&#xA;Zawartość wygenerowana przez sztuczną inteligencję może być niepoprawna."/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId14" cstate="print"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="3592800" cy="2700000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="2560B7B3" w14:textId="2AFC3D12" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Fig. 7. The result of a numerical simulation: flying in proximity to four points </w:t></w:r><w:r w:rsidR="00DE03CE"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:br/></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>in windy conditions</w:t></w:r></w:p><w:p w14:paraId="550E0AC5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="16C004B5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>6.2. Experiments leading to the development of autonomous altitude control</w:t></w:r></w:p><w:p w14:paraId="5F813EC3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="7C51A2B7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Many experiments were carried out that led to final development and implementation of the elaborated (within numerical experiments, see Section 2) PID algorithm for vertical autonomous control. All these experiments took place inside the Ice Skating Hall of the Silesian University of Technology in Gliwice, Poland (Fig. 8). Exemplary experiments are discussed below and are documented in videos (available on the YouTube channel Blimp Experiments: https://www.youtube.com/playlist?list=PL-0gX2KowkKvQRTEmx0E84VluRMJ6jUTW) – it is recommended to enable audio playback when watching these videos.</w:t></w:r></w:p><w:p w14:paraId="384B50D7" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>The exemplary experiments are as follows:</w:t></w:r></w:p><w:p w14:paraId="3C69222B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Autonomous altitude control [video: 1_AutoHeight]</w:t></w:r></w:p><w:p w14:paraId="2850B233" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the blimp hovers at a specified altitude, i.e., 1.25 [m]. The following PID parameters were applied (</w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>pv</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 0.1, </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>iv</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 0.25, </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>dv</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 0.8). These parameters were predetermined within numerical experiments.</w:t></w:r></w:p><w:p w14:paraId="3AD11B8E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Observations/conclusions: When the blimp is well balanced, the vertical propellers almost do not work. Over time, when the airship becomes increasingly unbalanced, the propellers spin faster and faster.</w:t></w:r></w:p><w:p w14:paraId="031AE5F0" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="39F3E960" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:noProof/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="7A280956" wp14:editId="6CFB1B54"><wp:extent cx="5498762" cy="2556000"/><wp:effectExtent l="0" t="0" r="6985" b="0"/><wp:docPr id="800805610" name="Obraz 6" descr="blimp2"/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="0" name="Obraz 8" descr="blimp2"/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId15" cstate="print"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect b="9702"/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="5498762" cy="2556000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="5D4CE2C4" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr></w:p><w:p w14:paraId="69A45058" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Fig. 8. Experimental verification of autonomous control</w:t></w:r></w:p><w:p w14:paraId="5FAB2352" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="4376FB72" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Flying up to the altitude setpoint [video: 2_AutoHeightFromBottom]</w:t></w:r></w:p><w:p w14:paraId="46992B84" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the blimp is released below a desired altitude (1.25 [m]) and flies up. Then it maintains the altitude. The same PID parameters as in experiment 1.</w:t></w:r></w:p><w:p w14:paraId="7D273E64" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Observations/conclusions: at the beginning, the blimp is underloaded and flies up to the desired altitude. We can observe that the propellers do not work even below the given altitude because the D part of the PID controller takes into account the vertical speed of the blimp. When the blimp is close to the given altitude, the controller tries to “defend” against excessive crossing of a given point – it was observed when the blimp both flies up and down. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve">Then the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>blimp</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>hovers</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>very</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>well</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t>.</w:t></w:r></w:p><w:p w14:paraId="6591818E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Flying to altitude setpoint [video: 3_AutoHeightFromTop] </w:t></w:r></w:p><w:p w14:paraId="1A240EE9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">In this experiment, the blimp is released above the desired altitude (1.25 [m]) and flies down. Then it maintains the altitude. The same PID parameters as in experiment 1. </w:t></w:r></w:p><w:p w14:paraId="745CD0D1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Observations/conclusions: we can observe that at the beginning the propellers work very hard because the blimp is underloaded. Then the propellers stop working or even try to raise the blimp because the D part of the PID controller takes into account the vertical speed of the blimp - the controller tries to ‘defend’ against excessive crossing of a given point. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve">Then the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>blimp</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>hovers</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>very</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:t>well</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:t>.</w:t></w:r></w:p><w:p w14:paraId="27C3C967" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Autonomous altitude control (with ‘mild’ PID parameters) [video: 4_AutoHeightMildPID]</w:t></w:r></w:p><w:p w14:paraId="1D12486A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the blimp starts at 1.25 [m], then flies up to 2.25 [m] and then flies back (down) to 1.25 [m]. The ‘softer’ PID parameters were applied (</w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>pv</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 0.2, </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>iv</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 0.16, </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>dv</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 4.8 </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t xml:space="preserve">for downward or </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>K</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>dv</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> = 1.2 for upward movement) compared to those of experiments 1-3. These parameters were predetermined within the numerical experiments.</w:t></w:r></w:p><w:p w14:paraId="6170D5BC" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Observations/conclusions: it can be seen that the blimp reaches the given altitude very smoothly and does not cross a given point very much. Of course, the time necessary to reach the given altitude is much longer compared to those from Experiments 2 and 3.</w:t></w:r></w:p><w:p w14:paraId="40C47539" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Autonomous altitude control (with tape measurements) [video: 5_AutoHeightWithTape]</w:t></w:r></w:p><w:p w14:paraId="4BD1E313" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the blimp hovers at a specified altitude and the vertical position of it is measured. The same PID parameters as in experiment 1.</w:t></w:r></w:p><w:p w14:paraId="4E0121CC" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Observations/conclusions: We can observe that the good balanced blimp is able to hover very well within 4-5 [cm].</w:t></w:r></w:p><w:p w14:paraId="1C7A7D68" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Autonomous flying up and down [video: 6_AutoHeight_125_225] </w:t></w:r></w:p><w:p w14:paraId="2229C0A5" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the flies fly up and down between altitudes of 1.25 and 2.25 [m]. The same PID parameters as in experiment 1.</w:t></w:r></w:p><w:p w14:paraId="36D046D2" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Observations/conclusions: it was observed that the blimp is well balanced. It crosses the specified altitudes, oscillates little and hovers quite well.</w:t></w:r></w:p><w:p w14:paraId="6F39A7B3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="52"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Manual position control with autonomous altitude control [video: 7_AutoHeightManualDirection]</w:t></w:r></w:p><w:p w14:paraId="11E36DD3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the horizontal movement of the blimp is controlled manually by the operator, but the given altitude is controlled simultaneously autonomously. The same PID parameters as in experiment 1.</w:t></w:r></w:p><w:p w14:paraId="5CF8EB6D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:highlight w:val="yellow"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Observations/conclusions: we can observe that the altitude is controlled autonomously quite well. Of course, because of the more dynamic overall </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>behavior</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of the blimp, we can see that the blimp dives during turns, but it defends itself against hitting the surface of ice rink.</w:t></w:r></w:p><w:p w14:paraId="546CA224" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="66952E58" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>6.3. Experimental verification of autonomous movement of the blimp to the selected target point</w:t></w:r></w:p><w:p w14:paraId="041FDC0F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="5549E91D" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">When the altitude controller was finished, then the position controller was developed. To this end, the simplified rule-based controller was implemented and verified. In the near future, the elaborated PID position controller (see Section 1) will be implemented. For all of these experiments, a target point was defined with coordinates: 50.2872338504249° (latitude), 18.6871733366383° (longitude) – this is a </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>center</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of the ice rink (see a traffic bollard in Fig. 9).</w:t></w:r></w:p><w:p w14:paraId="0F80EA2F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>The exemplary experiments carried out so far are as follows:</w:t></w:r></w:p><w:p w14:paraId="5FA4CF16" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="53"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Autonomous flying to the target point without stopping at this point [video: 8_AutoHeightAutoThroughPoint]</w:t></w:r></w:p><w:p w14:paraId="50A959CE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the altitude and position are controlled autonomously. The blimp flies to the given target (</w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>center</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of ice rink marked with a traffic bollard) and does not stop at this point.</w:t></w:r></w:p><w:p w14:paraId="0BE7135F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Observations/conclusions: When the blimp reaches the target point (within a dead zone of radius 3 [m]) it stops the horizontal propellers and flies further due to its inertia. As a consequence, it flies through the target and then turns back. This </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>behavior</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> repeats over and over again – the blimp loiters. </w:t></w:r></w:p><w:p w14:paraId="3ADEEDB1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="53"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:ind w:left="1003" w:hanging="357"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">10) Autonomous flying to target point with a stop at this point (example 1, example 2) [videos: 9_AutoHeightAutoToPoint1, 10_AutoHeightAutoToPoint2] </w:t></w:r></w:p><w:p w14:paraId="035B89C7" w14:textId="77777777" w:rsidR="006037F6" w:rsidRPr="006037F6" w:rsidRDefault="006037F6"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="53"/></w:numPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>In this experiment, the altitude and position are controlled autonomously. The blimp flies to the given target (</w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="006037F6"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>center</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="006037F6"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of ice-rink marked with traffic bollard) and stops at this point.</w:t></w:r></w:p><w:p w14:paraId="69C154A8" w14:textId="77777777" w:rsidR="006037F6" w:rsidRPr="006037F6" w:rsidRDefault="006037F6"><w:pPr><w:pStyle w:val="Akapitzlist"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="53"/></w:numPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:spacing w:after="0" w:line="240" w:lineRule="auto"/><w:jc w:val="both"/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t>Observations/conclusions: we can observe that the blimp is able to reach the target point and simultaneously maintain the altitude.</w:t></w:r></w:p><w:p w14:paraId="15517266" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:contextualSpacing/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="709E7763" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:noProof/></w:rPr><w:drawing><wp:inline distT="0" distB="0" distL="0" distR="0" wp14:anchorId="785465B7" wp14:editId="58CF1597"><wp:extent cx="4730753" cy="2592000"/><wp:effectExtent l="0" t="0" r="0" b="0"/><wp:docPr id="1273513984" name="Obraz 7" descr="blimp1"/><wp:cNvGraphicFramePr><a:graphicFrameLocks xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main" noChangeAspect="1"/></wp:cNvGraphicFramePr><a:graphic xmlns:a="http://schemas.openxmlformats.org/drawingml/2006/main"><a:graphicData uri="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:pic xmlns:pic="http://schemas.openxmlformats.org/drawingml/2006/picture"><pic:nvPicPr><pic:cNvPr id="0" name="Obraz 9" descr="blimp1"/><pic:cNvPicPr><a:picLocks noChangeAspect="1" noChangeArrowheads="1"/></pic:cNvPicPr></pic:nvPicPr><pic:blipFill><a:blip r:embed="rId16" cstate="print"><a:extLst><a:ext uri="{28A0092B-C50C-407E-A947-70E740481C1C}"><a14:useLocalDpi xmlns:a14="http://schemas.microsoft.com/office/drawing/2010/main" val="0"/></a:ext></a:extLst></a:blip><a:srcRect/><a:stretch><a:fillRect/></a:stretch></pic:blipFill><pic:spPr bwMode="auto"><a:xfrm><a:off x="0" y="0"/><a:ext cx="4730753" cy="2592000"/></a:xfrm><a:prstGeom prst="rect"><a:avLst/></a:prstGeom><a:noFill/><a:ln><a:noFill/></a:ln></pic:spPr></pic:pic></a:graphicData></a:graphic></wp:inline></w:drawing></w:r></w:p><w:p w14:paraId="0A5703FC" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w14:paraId="47408721" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Fig. 9. Blimp reaching a target point (traffic buoy located in the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>center</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="006037F6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> of the ice rink)</w:t></w:r></w:p><w:p w14:paraId="118CD9C1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="371F45A6" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="45BFCD2B" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="006037F6" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="6A2EB89F" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="006037F6"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>7. CONCLUSIONS</w:t></w:r></w:p><w:p w14:paraId="1D6D88FA" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="0E2C90CD" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The experiments carried out provided valuable information on the </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>behavior</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> and control of an aerial blimp, leading to several key conclusions. First, the data acquired from real-world experiments proved crucial for accurately tuning the parameters of the developed numerical model of the blimp. This alignment between the simulated and physical systems is essential for reliable virtual testing and control strategy development. Second, the use of this validated numerical model significantly reduced the time and resources typically associated with the development and implementation of a control strategy. By allowing for virtual experimentation and refinement, the model simplified the overall process.</w:t></w:r></w:p><w:p w14:paraId="5EBBC1DE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Observations of the numerical model's responses to defined drive controller settings demonstrated that the blimp's movement trajectories are predictable and the quality of these responses was deemed satisfactory. This predictability is a fundamental requirement for designing effective control algorithms. Furthermore, the experiments highlighted the importance of proper balance to maintain a consistent altitude. An imbalanced blimp requires continuous control adjustments to counteract unwanted vertical movement.</w:t></w:r></w:p><w:p w14:paraId="640940BB" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>Interestingly, it was observed that even when subjected to disturbances causing rotation along the pitch axis, the blimp could maintain its altitude. This inherent stability in the vertical plane under pitch perturbations is a noteworthy characteristic. The potential benefit of independently controlling vertical propellers was also recognized, as this could mitigate unwanted rotation around the pitch axis, leading to more stable and precise vertical control.</w:t></w:r></w:p><w:p w14:paraId="52053307" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Currently, the real blimp's position is managed by a straightforward rule-based controller, which performs adequately. However, based on the promising results obtained from numerical experiments with a PID (Proportional-Integral-Derivative) controller, it is anticipated that implementing this more sophisticated control algorithm on the physical blimp will lead to even </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:lastRenderedPageBreak/><w:t xml:space="preserve">better performance, characterized by enhanced accuracy, stability, and responsiveness in its movements. In summary, the research underscores the value of numerical </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>modeling</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> in the development of the airship control system and identifies key factors and potential improvements to achieve precise and robust blimp control.</w:t></w:r></w:p><w:p w14:paraId="2C837F5E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="4BB9FB3C" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="38E80E94" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-GB"/></w:rPr><w:t>Acknowledgments</w:t></w:r></w:p><w:p w14:paraId="39841F2E" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="1CACF244" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:autoSpaceDE w:val="0"/><w:autoSpaceDN w:val="0"/><w:adjustRightInd w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">The project was implemented in cooperation with </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>SkyTech</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Products sp. z </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>o.o.</w:t></w:r><w:proofErr w:type="spellEnd"/></w:p><w:p w14:paraId="31D6EA47" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="1CE67BE3" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="512B81FD" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:rPr><w:b/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:b/><w:lang w:val="en-US"/></w:rPr><w:t>References</w:t></w:r></w:p><w:p w14:paraId="0D26AE8A" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="20029FA1" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Åman</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> Gustaf. 2021. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Indoor Blimp Control</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>. Master’s Thesis TFRT-6134. Lund, Sweden: Department of Automatic Control, Lund University.</w:t></w:r></w:p><w:p w14:paraId="1FB29F82" w14:textId="0315E7B4" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">Ashraf Muhammad Zahir, Mohammad A. Choudhry. 2013. „Dynamic Modeling of the Airship with </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Matlab</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> Using Geometrical Aerodynamic Parameters”. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Aerospace Science and Technology</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> 25(1): 56-64. DOI: </w:t></w:r><w:hyperlink w:tgtFrame="_blank" w:history="1"><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rStyle w:val="Hipercze"/><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:u w:val="none"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/10.1016/j.ast.2011.08.014</w:t></w:r></w:hyperlink><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="229E04A9" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">Binti Nur, Mohd Yunus. 2015. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Control of an Autonomous Blimp for Aerial Surveillance</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>. Project report. Johor Bahru, Malaysia: Faculty of Electrical Engineering, University Technology Malaysia.</w:t></w:r></w:p><w:p w14:paraId="23259758" w14:textId="2A9655AA" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Burri Matthias, Laura Gasser</w:t></w:r><w:r w:rsidR="00363C7B"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>,</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> et al. 2013. „Design and control of a spherical omnidirectional blimp”. In</w:t></w:r><w:r w:rsidR="00363C7B"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>IEEE/RSJ International Conference on Intelligent Robots and Systems</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">: 1873-1879. Tokyo, Japan. 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In </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Towards Autonomous Robotic Systems: 25th Annual Conference TAROS 2024</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">: 171-183. London, UK. Berlin-Heidelberg: Springer-Verlag. 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In</w:t></w:r><w:r w:rsidR="000F0993"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>IEEE International Conference on Robotics and Biomimetics (ROBIO)</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">: 2457-2462. Guilin, China. DOI: </w:t></w:r><w:r w:rsidR="00363C7B" w:rsidRPr="00363C7B"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>10.1109/ROBIO.2009.5420403.</w:t></w:r></w:p><w:p w14:paraId="75EE33CA" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">Sasidharan </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Anop</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">, Ratna Kishore </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Velamati</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">, Akram Mohammad, Sabrina Benaissa. 2024. „Mathematical modeling of a single tethered aerostat using longitudinal stability derivatives”. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Scientific Reports</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> 14: 3697. DOI: </w:t></w:r><w:hyperlink w:tgtFrame="_blank" w:history="1"><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rStyle w:val="Hipercze"/><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:u w:val="none"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/10.1038/s41598-024-53851-1</w:t></w:r></w:hyperlink><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="4E45C2FE" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Sebbane</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> Yasmina Bestaoui. 2012. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Lighter than Air Robots: Guidance and Control of Autonomous Airships</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">. Dordrecht: Springer. DOI: </w:t></w:r><w:hyperlink w:tgtFrame="_blank" w:history="1"><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rStyle w:val="Hipercze"/><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:u w:val="none"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/10.1007/978-94-007-2663-5</w:t></w:r></w:hyperlink><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="655678CA" w14:textId="57708FDF" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">Sharma Suryansh, Mike Verhoeff, Floor Joosen, R.R. 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DOI: </w:t></w:r><w:r w:rsidR="00363C7B" w:rsidRPr="00363C7B"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>10.1109/LRA.2024.3406061.</w:t></w:r></w:p><w:p w14:paraId="4E9C6E9D" w14:textId="77777777" w:rsidR="000F0993" w:rsidRDefault="000F0993"><w:pPr><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:br w:type="page"/></w:r></w:p><w:p w14:paraId="4164DA83" w14:textId="2412938B" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:lastRenderedPageBreak/><w:t xml:space="preserve">Van Asares Anthon, Phil Seon Ko, Joshua Samuel Minlay, Brian Raymund Sarmiento, Alvin Chua. 2019. „Design of an Unmanned Aerial Vehicle Blimp for Indoor Applications”. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>International Journal of Mechanical Engineering and Robotics Research</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> 8(1): 157-161. ISSN</w:t></w:r><w:r w:rsidR="000F0993"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> 2278-0149. DOI: </w:t></w:r><w:r w:rsidR="00363C7B" w:rsidRPr="00363C7B"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>10.18178/ijmerr.8.1.157-161.</w:t></w:r></w:p><w:p w14:paraId="551FBA77" w14:textId="77B2FC62" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t>Yamada</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t>Manabu</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t>Hiroki</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t>Adachi</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t>Yasuyuki</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t>Funahashi</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="pl-PL" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>2010. „Robust control of an uncertain underactuated airship with asymptotic rejection against wind disturbance”. In</w:t></w:r><w:r w:rsidR="000F0993"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>IEEE International Conference on Control Applications</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">: 1844-1849. Yokohama, Japan. DOI: </w:t></w:r><w:r w:rsidR="00363C7B" w:rsidRPr="00363C7B"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>10.1109/CCA.2010.5611226.</w:t></w:r></w:p><w:p w14:paraId="3D415021" w14:textId="288920FB" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="55"/></w:numPr><w:suppressAutoHyphens w:val="0"/><w:ind w:left="426" w:hanging="426"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Yang Yueneng, Wu Jie, Xie Yu, Zheng Wei. 2011. „Dynamics Modeling and Maneuverability Analysis of a Near-Space Earth Observation Platform”. In</w:t></w:r><w:r w:rsidR="000F0993"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:i/><w:iCs/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>Proceedings of the 5th International Conference on Recent Advances in Space Technologies (RAST2011)</w:t></w:r><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t xml:space="preserve">: 223-226. Istanbul, Turkey. DOI: </w:t></w:r><w:hyperlink w:tgtFrame="_blank" w:history="1"><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rStyle w:val="Hipercze"/><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:u w:val="none"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>https://doi.org/10.1109/RAST.2011.5966828</w:t></w:r></w:hyperlink><w:r w:rsidRPr="00C05DF3"><w:rPr><w:rFonts w:eastAsia="Calibri"/><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-US" w:eastAsia="en-US"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w14:paraId="0DABE738" w14:textId="77777777" w:rsidR="00C05DF3" w:rsidRPr="00C05DF3" w:rsidRDefault="00C05DF3" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/><w:tab w:val="clear" w:pos="9072"/></w:tabs><w:contextualSpacing/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w14:paraId="741D23E6" w14:textId="77777777" w:rsidR="00B24633" w:rsidRPr="00C05DF3" w:rsidRDefault="00B24633" w:rsidP="00C05DF3"><w:pPr><w:contextualSpacing/><w:rPr><w:shd w:val="clear" w:color="auto" w:fill="FFFFFF"/><w:lang w:val="en-GB"/></w:rPr></w:pPr></w:p><w:p w14:paraId="41F15773" w14:textId="0EAF0A8B" w:rsidR="00A55A89" w:rsidRPr="00C05DF3" w:rsidRDefault="00B551FE" w:rsidP="00C05DF3"><w:pPr><w:pStyle w:val="Tekstpodstawowywcity2"/><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Received </w:t></w:r><w:r w:rsidR="00C05DF3" w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>26</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidR="007B64AA" w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>1</w:t></w:r><w:r w:rsidR="00E5375E" w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>2</w:t></w:r><w:r w:rsidR="00770B59" w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>.2</w:t></w:r><w:r w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>02</w:t></w:r><w:r w:rsidR="007B64AA" w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>5</w:t></w:r><w:r w:rsidRPr="00853A01"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">; 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xmlns:w16du="http://schemas.microsoft.com/office/word/2023/wordml/word16du" xmlns:w16sdtdh="http://schemas.microsoft.com/office/word/2020/wordml/sdtdatahash" xmlns:w16sdtfl="http://schemas.microsoft.com/office/word/2024/wordml/sdtformatlock" xmlns:w16se="http://schemas.microsoft.com/office/word/2015/wordml/symex" xmlns:wpg="http://schemas.microsoft.com/office/word/2010/wordprocessingGroup" xmlns:wpi="http://schemas.microsoft.com/office/word/2010/wordprocessingInk" xmlns:wne="http://schemas.microsoft.com/office/word/2006/wordml" xmlns:wps="http://schemas.microsoft.com/office/word/2010/wordprocessingShape" mc:Ignorable="w14 w15 w16se w16cid w16 w16cex w16sdtdh w16sdtfl w16du wp14"><w:footnote w:type="separator" w:id="-1"><w:p w14:paraId="3E0B95A5" w14:textId="77777777" w:rsidR="009A1CCE" w:rsidRDefault="009A1CCE"><w:r><w:separator/></w:r></w:p></w:footnote><w:footnote w:type="continuationSeparator" w:id="0"><w:p w14:paraId="797FFC8D" w14:textId="77777777" w:rsidR="009A1CCE" w:rsidRDefault="009A1CCE"><w:r><w:continuationSeparator/></w:r></w:p></w:footnote><w:footnote w:id="1"><w:p w14:paraId="24618ABA" w14:textId="309FFF07" w:rsidR="001B01B1" w:rsidRPr="001B01B1" w:rsidRDefault="001B01B1" w:rsidP="001B01B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="003130F6"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Silesian University of Technology, Faculty of Mechanical Engineering, </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>Konarskiego</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Str. 18A, 40-100 Gliwice, Poland. Email: sebastian.rzydzik@polsl.pl. ORCID: </w:t></w:r><w:r w:rsidR="00724EAF" w:rsidRPr="00C00A07"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>https://orcid.org/</w:t></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>0000-0003-3352-3986</w:t></w:r></w:p></w:footnote><w:footnote w:id="2"><w:p w14:paraId="4D13D796" w14:textId="35810D92" w:rsidR="001B01B1" w:rsidRPr="001B01B1" w:rsidRDefault="001B01B1" w:rsidP="001B01B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="003130F6"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Silesian University of Technology, Faculty of Mechanical Engineering, </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>Konarskiego</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Str. 18A, 40-100 Gliwice, Poland. Email: wawrzyniec.panfil@polsl.pl. ORCID: </w:t></w:r><w:r w:rsidR="00724EAF" w:rsidRPr="00C00A07"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>https://orcid.org/</w:t></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>0000-0001-7304-554X</w:t></w:r></w:p></w:footnote><w:footnote w:id="3"><w:p w14:paraId="0D42836A" w14:textId="3219F639" w:rsidR="001B01B1" w:rsidRPr="001B01B1" w:rsidRDefault="001B01B1" w:rsidP="001B01B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="003130F6"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Silesian University of Technology, Faculty of Automatic Control, Electronics And Computer Science, Akademicka Str. 16, 40-100 Gliwice, Poland. Email: dariusz.myszor@polsl.pl. ORCID: </w:t></w:r><w:r w:rsidR="00724EAF" w:rsidRPr="00C00A07"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>https://orcid.org/</w:t></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>0000-0002-5764-6246</w:t></w:r></w:p></w:footnote><w:footnote w:id="4"><w:p w14:paraId="4BB83EE4" w14:textId="6555224F" w:rsidR="001B01B1" w:rsidRPr="001B01B1" w:rsidRDefault="001B01B1" w:rsidP="001B01B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="003130F6"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Silesian University of Technology, Faculty of Automatic Control, Electronics And Computer Science, Akademicka Str. 16, 40-100 Gliwice, Poland. Email: krzysztof.cyran@polsl.pl. ORCID: </w:t></w:r><w:r w:rsidR="00724EAF" w:rsidRPr="00C00A07"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>https://orcid.org/</w:t></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>0000-0003-1789-4939</w:t></w:r></w:p></w:footnote><w:footnote w:id="5"><w:p w14:paraId="7651924F" w14:textId="69E3A5C8" w:rsidR="001B01B1" w:rsidRPr="003130F6" w:rsidRDefault="001B01B1" w:rsidP="001B01B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:color w:val="000000" w:themeColor="text1"/></w:rPr></w:pPr><w:r w:rsidRPr="003130F6"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> Silesian University of Technology, Faculty of Mechanical Engineering, Konarskiego Str. 18A, 40-100 Gliwice, Poland. </w:t></w:r><w:r w:rsidRPr="003130F6"><w:rPr><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:t xml:space="preserve">Email: wojciech.moczulski@polsl.pl. ORCID: </w:t></w:r><w:r w:rsidR="00724EAF" w:rsidRPr="00C00A07"><w:rPr><w:color w:val="000000" w:themeColor="text1"/><w:lang w:val="en-GB"/></w:rPr><w:t>https://orcid.org/</w:t></w:r><w:r w:rsidRPr="003130F6"><w:rPr><w:color w:val="000000" w:themeColor="text1"/></w:rPr><w:t>0000-0002-4697-1561</w:t></w:r></w:p></w:footnote></w:footnotes></pkg:xmlData></pkg:part><pkg:part pkg:name="/word/endnotes.xml" pkg:contentType="application/vnd.openxmlformats-officedocument.wordprocessingml.endnotes+xml"><pkg:xmlData><w:endnotes xmlns:wpc="http://schemas.microsoft.com/office/word/2010/wordprocessingCanvas" xmlns:cx="http://schemas.microsoft.com/office/drawing/2014/chartex" xmlns:cx1="http://schemas.microsoft.com/office/drawing/2015/9/8/chartex" xmlns:cx2="http://schemas.microsoft.com/office/drawing/2015/10/21/chartex" xmlns:cx3="http://schemas.microsoft.com/office/drawing/2016/5/9/chartex" xmlns:cx4="http://schemas.microsoft.com/office/drawing/2016/5/10/chartex" 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xmlns:wpg="http://schemas.microsoft.com/office/word/2010/wordprocessingGroup" xmlns:wpi="http://schemas.microsoft.com/office/word/2010/wordprocessingInk" xmlns:wne="http://schemas.microsoft.com/office/word/2006/wordml" xmlns:wps="http://schemas.microsoft.com/office/word/2010/wordprocessingShape" mc:Ignorable="w14 w15 w16se w16cid w16 w16cex w16sdtdh w16sdtfl w16du wp14"><w:p w14:paraId="32129011" w14:textId="25020C96" w:rsidR="00E668D5" w:rsidRPr="001B01B1" w:rsidRDefault="00E668D5"><w:pPr><w:pStyle w:val="Nagwek"/><w:tabs><w:tab w:val="clear" w:pos="4536"/></w:tabs><w:jc w:val="both"/><w:rPr><w:u w:val="single"/><w:lang w:val="pl-PL"/></w:rPr></w:pPr><w:r><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/></w:rPr><w:fldChar w:fldCharType="begin"/></w:r><w:r><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/></w:rPr><w:instrText xml:space="preserve"> PAGE </w:instrText></w:r><w:r><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/></w:rPr><w:fldChar w:fldCharType="separate"/></w:r><w:r w:rsidR="00682D87"><w:rPr><w:rStyle w:val="Numerstrony"/><w:noProof/><w:u w:val="single"/></w:rPr><w:t>16</w:t></w:r><w:r><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/></w:rPr><w:fldChar w:fldCharType="end"/></w:r><w:r w:rsidRPr="001B01B1"><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/><w:lang w:val="pl-PL"/></w:rPr><w:tab/></w:r><w:r w:rsidR="001B01B1" w:rsidRPr="001B01B1"><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/><w:lang w:val="pl-PL"/></w:rPr><w:t xml:space="preserve">S. </w:t></w:r><w:proofErr w:type="spellStart"/><w:r w:rsidR="001B01B1" w:rsidRPr="001B01B1"><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/><w:lang w:val="pl-PL"/></w:rPr><w:t>Rzydzik</w:t></w:r><w:proofErr w:type="spellEnd"/><w:r w:rsidR="001B01B1" w:rsidRPr="001B01B1"><w:rPr><w:rStyle w:val="Numerstrony"/><w:u w:val="single"/><w:lang w:val="pl-PL"/></w:rPr><w:t>, W. 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w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="envelope return" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="footnote reference" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1" w:qFormat="1"/><w:lsdException w:name="annotation reference" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="line number" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="page number" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="endnote reference" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="endnote text" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="table of authorities" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="macro" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="toa heading" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Bullet" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="List Number" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List 2" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="List 3" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List 4" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List 5" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Bullet 2" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="List Bullet 3" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Bullet 4" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Bullet 5" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Number 2" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Number 3" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Number 4" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Number 5" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Title" w:locked="1" w:qFormat="1"/><w:lsdException w:name="Closing" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Signature" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Default Paragraph Font" w:semiHidden="1" w:uiPriority="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1" w:qFormat="1"/><w:lsdException w:name="Body Text Indent" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="List Continue" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Continue 2" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Continue 3" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Continue 4" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="List Continue 5" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Message Header" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Subtitle" w:locked="1" w:uiPriority="11" w:qFormat="1"/><w:lsdException w:name="Salutation" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Date" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text First Indent" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text First Indent 2" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Note Heading" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text 2" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text 3" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text Indent 2" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Body Text Indent 3" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Block Text" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Hyperlink" w:semiHidden="1" w:unhideWhenUsed="1" w:qFormat="1"/><w:lsdException w:name="FollowedHyperlink" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Strong" w:locked="1" w:uiPriority="22" w:qFormat="1"/><w:lsdException w:name="Emphasis" w:locked="1" w:uiPriority="20" w:qFormat="1"/><w:lsdException w:name="Document Map" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Plain Text" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="E-mail Signature" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Top of Form" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Bottom of Form" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Normal (Web)" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Acronym" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Address" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Cite" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Code" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Definition" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Keyboard" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Preformatted" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Sample" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Typewriter" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="HTML Variable" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Normal Table" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="annotation subject" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="No List" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Outline List 1" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Outline List 2" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Outline List 3" w:semiHidden="1" w:uiPriority="99" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Simple 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Simple 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Simple 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Classic 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Classic 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Classic 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Classic 4" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Colorful 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Colorful 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Colorful 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Columns 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Columns 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Columns 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Columns 4" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Columns 5" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 4" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 5" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 6" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 7" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid 8" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 4" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 5" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 6" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 7" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table List 8" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table 3D effects 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table 3D effects 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table 3D effects 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Contemporary" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Elegant" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Professional" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Subtle 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Subtle 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Web 1" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Web 2" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Web 3" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Balloon Text" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Table Grid" w:locked="1" w:uiPriority="39" w:qFormat="1"/><w:lsdException w:name="Table Theme" w:locked="1" w:semiHidden="1" w:unhideWhenUsed="1"/><w:lsdException w:name="Placeholder Text" w:semiHidden="1" w:uiPriority="99"/><w:lsdException w:name="No Spacing" w:uiPriority="1" w:qFormat="1"/><w:lsdException w:name="Light Shading" w:uiPriority="60"/><w:lsdException w:name="Light List" w:uiPriority="61"/><w:lsdException w:name="Light Grid" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2" w:uiPriority="64"/><w:lsdException w:name="Medium List 1" w:uiPriority="65"/><w:lsdException w:name="Medium List 2" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3" w:uiPriority="69"/><w:lsdException w:name="Dark List" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading" w:uiPriority="71"/><w:lsdException w:name="Colorful List" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid" w:uiPriority="73"/><w:lsdException w:name="Light Shading Accent 1" w:uiPriority="60"/><w:lsdException w:name="Light List Accent 1" w:uiPriority="61"/><w:lsdException w:name="Light Grid Accent 1" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1 Accent 1" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2 Accent 1" w:uiPriority="64"/><w:lsdException w:name="Medium List 1 Accent 1" w:uiPriority="65"/><w:lsdException w:name="Revision" w:semiHidden="1" w:uiPriority="99"/><w:lsdException w:name="List Paragraph" w:uiPriority="34" w:qFormat="1"/><w:lsdException w:name="Quote" w:uiPriority="29" w:qFormat="1"/><w:lsdException w:name="Intense Quote" w:uiPriority="30" w:qFormat="1"/><w:lsdException w:name="Medium List 2 Accent 1" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1 Accent 1" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2 Accent 1" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3 Accent 1" w:uiPriority="69"/><w:lsdException w:name="Dark List Accent 1" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading Accent 1" w:uiPriority="71"/><w:lsdException w:name="Colorful List Accent 1" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid Accent 1" w:uiPriority="73"/><w:lsdException w:name="Light Shading Accent 2" w:uiPriority="60"/><w:lsdException w:name="Light List Accent 2" w:uiPriority="61"/><w:lsdException w:name="Light Grid Accent 2" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1 Accent 2" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2 Accent 2" w:uiPriority="64"/><w:lsdException w:name="Medium List 1 Accent 2" w:uiPriority="65"/><w:lsdException w:name="Medium List 2 Accent 2" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1 Accent 2" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2 Accent 2" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3 Accent 2" w:uiPriority="69"/><w:lsdException w:name="Dark List Accent 2" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading Accent 2" w:uiPriority="71"/><w:lsdException w:name="Colorful List Accent 2" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid Accent 2" w:uiPriority="73"/><w:lsdException w:name="Light Shading Accent 3" w:uiPriority="60"/><w:lsdException w:name="Light List Accent 3" w:uiPriority="61"/><w:lsdException w:name="Light Grid Accent 3" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1 Accent 3" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2 Accent 3" w:uiPriority="64"/><w:lsdException w:name="Medium List 1 Accent 3" w:uiPriority="65"/><w:lsdException w:name="Medium List 2 Accent 3" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1 Accent 3" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2 Accent 3" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3 Accent 3" w:uiPriority="69"/><w:lsdException w:name="Dark List Accent 3" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading Accent 3" w:uiPriority="71"/><w:lsdException w:name="Colorful List Accent 3" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid Accent 3" w:uiPriority="73"/><w:lsdException w:name="Light Shading Accent 4" w:uiPriority="60"/><w:lsdException w:name="Light List Accent 4" w:uiPriority="61"/><w:lsdException w:name="Light Grid Accent 4" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1 Accent 4" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2 Accent 4" w:uiPriority="64"/><w:lsdException w:name="Medium List 1 Accent 4" w:uiPriority="65"/><w:lsdException w:name="Medium List 2 Accent 4" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1 Accent 4" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2 Accent 4" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3 Accent 4" w:uiPriority="69"/><w:lsdException w:name="Dark List Accent 4" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading Accent 4" w:uiPriority="71"/><w:lsdException w:name="Colorful List Accent 4" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid Accent 4" w:uiPriority="73"/><w:lsdException w:name="Light Shading Accent 5" w:uiPriority="60"/><w:lsdException w:name="Light List Accent 5" w:uiPriority="61"/><w:lsdException w:name="Light Grid Accent 5" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1 Accent 5" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2 Accent 5" w:uiPriority="64"/><w:lsdException w:name="Medium List 1 Accent 5" w:uiPriority="65"/><w:lsdException w:name="Medium List 2 Accent 5" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1 Accent 5" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2 Accent 5" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3 Accent 5" w:uiPriority="69"/><w:lsdException w:name="Dark List Accent 5" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading Accent 5" w:uiPriority="71"/><w:lsdException w:name="Colorful List Accent 5" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid Accent 5" w:uiPriority="73"/><w:lsdException w:name="Light Shading Accent 6" w:uiPriority="60"/><w:lsdException w:name="Light List Accent 6" w:uiPriority="61"/><w:lsdException w:name="Light Grid Accent 6" w:uiPriority="62"/><w:lsdException w:name="Medium Shading 1 Accent 6" w:uiPriority="63"/><w:lsdException w:name="Medium Shading 2 Accent 6" w:uiPriority="64"/><w:lsdException w:name="Medium List 1 Accent 6" w:uiPriority="65"/><w:lsdException w:name="Medium List 2 Accent 6" w:uiPriority="66"/><w:lsdException w:name="Medium Grid 1 Accent 6" w:uiPriority="67"/><w:lsdException w:name="Medium Grid 2 Accent 6" w:uiPriority="68"/><w:lsdException w:name="Medium Grid 3 Accent 6" w:uiPriority="69"/><w:lsdException w:name="Dark List Accent 6" w:uiPriority="70"/><w:lsdException w:name="Colorful Shading Accent 6" w:uiPriority="71"/><w:lsdException w:name="Colorful List Accent 6" w:uiPriority="72"/><w:lsdException w:name="Colorful Grid Accent 6" w:uiPriority="73"/><w:lsdException w:name="Subtle Emphasis" w:uiPriority="19" w:qFormat="1"/><w:lsdException w:name="Intense Emphasis" w:uiPriority="21" w:qFormat="1"/><w:lsdException w:name="Subtle Reference" w:uiPriority="31" w:qFormat="1"/><w:lsdException w:name="Intense Reference" w:uiPriority="32" w:qFormat="1"/><w:lsdException w:name="Book Title" w:uiPriority="33" w:qFormat="1"/><w:lsdException w:name="Bibliography" w:semiHidden="1" w:uiPriority="37" w:unhideWhenUsed="1"/><w:lsdException w:name="TOC Heading" w:semiHidden="1" w:uiPriority="39" w:unhideWhenUsed="1" w:qFormat="1"/><w:lsdException w:name="Plain Table 1" w:uiPriority="41"/><w:lsdException w:name="Plain Table 2" w:uiPriority="42"/><w:lsdException w:name="Plain Table 3" w:uiPriority="43"/><w:lsdException w:name="Plain Table 4" w:uiPriority="44"/><w:lsdException w:name="Plain Table 5" w:uiPriority="45"/><w:lsdException w:name="Grid Table Light" w:uiPriority="40"/><w:lsdException w:name="Grid Table 1 Light" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful" w:uiPriority="52"/><w:lsdException w:name="Grid Table 1 Light Accent 1" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2 Accent 1" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3 Accent 1" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4 Accent 1" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark Accent 1" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful Accent 1" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful Accent 1" w:uiPriority="52"/><w:lsdException w:name="Grid Table 1 Light Accent 2" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2 Accent 2" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3 Accent 2" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4 Accent 2" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark Accent 2" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful Accent 2" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful Accent 2" w:uiPriority="52"/><w:lsdException w:name="Grid Table 1 Light Accent 3" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2 Accent 3" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3 Accent 3" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4 Accent 3" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark Accent 3" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful Accent 3" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful Accent 3" w:uiPriority="52"/><w:lsdException w:name="Grid Table 1 Light Accent 4" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2 Accent 4" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3 Accent 4" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4 Accent 4" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark Accent 4" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful Accent 4" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful Accent 4" w:uiPriority="52"/><w:lsdException w:name="Grid Table 1 Light Accent 5" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2 Accent 5" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3 Accent 5" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4 Accent 5" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark Accent 5" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful Accent 5" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful Accent 5" w:uiPriority="52"/><w:lsdException w:name="Grid Table 1 Light Accent 6" w:uiPriority="46"/><w:lsdException w:name="Grid Table 2 Accent 6" w:uiPriority="47"/><w:lsdException w:name="Grid Table 3 Accent 6" w:uiPriority="48"/><w:lsdException w:name="Grid Table 4 Accent 6" w:uiPriority="49"/><w:lsdException w:name="Grid Table 5 Dark Accent 6" w:uiPriority="50"/><w:lsdException w:name="Grid Table 6 Colorful Accent 6" w:uiPriority="51"/><w:lsdException w:name="Grid Table 7 Colorful Accent 6" w:uiPriority="52"/><w:lsdException w:name="List Table 1 Light" w:uiPriority="46"/><w:lsdException w:name="List Table 2" w:uiPriority="47"/><w:lsdException w:name="List Table 3" w:uiPriority="48"/><w:lsdException w:name="List Table 4" w:uiPriority="49"/><w:lsdException w:name="List Table 5 Dark" w:uiPriority="50"/><w:lsdException w:name="List Table 6 Colorful" w:uiPriority="51"/><w:lsdException w:name="List Table 7 Colorful" w:uiPriority="52"/><w:lsdException w:name="List Table 1 Light Accent 1" w:uiPriority="46"/><w:lsdException w:name="List Table 2 Accent 1" w:uiPriority="47"/><w:lsdException w:name="List Table 3 Accent 1" w:uiPriority="48"/><w:lsdException w:name="List Table 4 Accent 1" w:uiPriority="49"/><w:lsdException w:name="List Table 5 Dark Accent 1" w:uiPriority="50"/><w:lsdException w:name="List Table 6 Colorful Accent 1" w:uiPriority="51"/><w:lsdException w:name="List Table 7 Colorful Accent 1" w:uiPriority="52"/><w:lsdException w:name="List Table 1 Light Accent 2" w:uiPriority="46"/><w:lsdException w:name="List Table 2 Accent 2" w:uiPriority="47"/><w:lsdException w:name="List Table 3 Accent 2" w:uiPriority="48"/><w:lsdException w:name="List Table 4 Accent 2" w:uiPriority="49"/><w:lsdException w:name="List Table 5 Dark Accent 2" w:uiPriority="50"/><w:lsdException w:name="List Table 6 Colorful Accent 2" w:uiPriority="51"/><w:lsdException w:name="List Table 7 Colorful Accent 2" w:uiPriority="52"/><w:lsdException w:name="List Table 1 Light Accent 3" w:uiPriority="46"/><w:lsdException w:name="List Table 2 Accent 3" w:uiPriority="47"/><w:lsdException w:name="List Table 3 Accent 3" w:uiPriority="48"/><w:lsdException w:name="List Table 4 Accent 3" w:uiPriority="49"/><w:lsdException w:name="List Table 5 Dark Accent 3" w:uiPriority="50"/><w:lsdException w:name="List Table 6 Colorful Accent 3" w:uiPriority="51"/><w:lsdException w:name="List Table 7 Colorful Accent 3" w:uiPriority="52"/><w:lsdException w:name="List Table 1 Light Accent 4" w:uiPriority="46"/><w:lsdException w:name="List Table 2 Accent 4" w:uiPriority="47"/><w:lsdException w:name="List Table 3 Accent 4" w:uiPriority="48"/><w:lsdException w:name="List Table 4 Accent 4" w:uiPriority="49"/><w:lsdException w:name="List Table 5 Dark Accent 4" w:uiPriority="50"/><w:lsdException w:name="List Table 6 Colorful Accent 4" w:uiPriority="51"/><w:lsdException w:name="List Table 7 Colorful Accent 4" w:uiPriority="52"/><w:lsdException w:name="List Table 1 Light Accent 5" w:uiPriority="46"/><w:lsdException w:name="List Table 2 Accent 5" w:uiPriority="47"/><w:lsdException w:name="List Table 3 Accent 5" w:uiPriority="48"/><w:lsdException w:name="List Table 4 Accent 5" w:uiPriority="49"/><w:lsdException w:name="List Table 5 Dark Accent 5" w:uiPriority="50"/><w:lsdException w:name="List Table 6 Colorful Accent 5" 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