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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">radioelectronics</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений России. Радиоэлектроника</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of the Russian Universities. Radioelectronics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1993-8985</issn><issn pub-type="epub">2658-4794</issn><publisher><publisher-name>Saint Petersburg Electrotechnical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32603/1993-8985-2022-25-4-63-71</article-id><article-id custom-type="elpub" pub-id-type="custom">radioelectronics-662</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>РАДИОЛОКАЦИЯ И РАДИОНАВИГАЦИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>RADAR AND NAVIGATION</subject></subj-group></article-categories><title-group><article-title>Estimating Disturbance Torque Effects on the Stability and Control Performance of Two-Axis Gimbal Systems</article-title><trans-title-group xml:lang="en"><trans-title>Estimating Disturbance Torque Effects on the Stability and Control Performance of Two-Axis Gimbal Systems</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Nguyen</surname><given-names>Ngoc Hung</given-names></name><name name-style="western" xml:lang="en"><surname>Nguyen</surname><given-names>Ngoc Hung</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ngoc Hung Nguyen, Master in "Control and Automation Engineering" (2014), postgraduate student, lecturer at the Department of Aerospace Control Systems</p><p> 236 Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><bio xml:lang="en"><p>Ngoc Hung Nguyen, Master in "Control and Automation Engineering" (2014), postgraduate student, lecturer at the Department of Aerospace Control Systems</p><p> 236 Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><email xlink:type="simple">hungnn@lqdtu.edu.vn</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Do</surname><given-names>Van Phan</given-names></name><name name-style="western" xml:lang="en"><surname>Do</surname><given-names>Van Phan</given-names></name></name-alternatives><bio xml:lang="ru"><p>Van Phan Do, PhD (Eng.) (2014), lecturer at the Department of Aerospace Control Systems</p><p>236 Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><bio xml:lang="en"><p>Van Phan Do, PhD (Eng.) (2014), lecturer at the Department of Aerospace Control Systems</p><p>236 Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p><p> </p></bio><email xlink:type="simple">dovanphanhv@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Vu</surname><given-names>Hoa Tien</given-names></name><name name-style="western" xml:lang="en"><surname>Vu</surname><given-names>Hoa Tien</given-names></name></name-alternatives><bio xml:lang="ru"><p>Hoa Tien Vu, PhD (Eng.) (2005), Associate Professor (2014), specialist in systems engineering control and automation, visiting lecturer at the Department of Aerospace Control Systems</p><p>236 Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><bio xml:lang="en"><p>Hoa Tien Vu, PhD (Eng.) (2005), Associate Professor (2014), specialist in systems engineering control and automation, visiting lecturer at the Department of Aerospace Control Systems</p><p>236 Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><email xlink:type="simple">hoatien57@yahoo.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Le Quy Don Technical University</institution><country>Вьетнам</country></aff><aff xml:lang="en"><institution>Le Quy Don Technical University</institution><country>Viet Nam</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>29</day><month>09</month><year>2022</year></pub-date><volume>25</volume><issue>4</issue><fpage>63</fpage><lpage>71</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Nguyen N.H., Do V.P., Vu H.T., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Nguyen N.H., Do V.P., Vu H.T.</copyright-holder><copyright-holder xml:lang="en">Nguyen N.H., Do V.P., Vu H.T.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://re.eltech.ru/jour/article/view/662">https://re.eltech.ru/jour/article/view/662</self-uri><abstract><sec><title>Introduction</title><p>Introduction. Two-axis gimbal systems are applied for stabilizing and controlling the line of sight (LOS) of an optical or imaging system mounted on a moving vehicle. Gimbal systems are intended to isolate various disturbance torques and control the LOS toward the direction of a target. Two-axis gimbals can be of two main types, namely Yaw-Pitch and Swing-Roll type. In this article, we focus on investigating mathematical models of two-axis gimbals, which describe the impact of cross-disturbance torques on their stability and control performance. Simulations were conducted to compare advantages and disadvantages of the two types of two-axis gimbals.</p></sec><sec><title>Aim</title><p>Aim. To study mathematical models describing the impact of cross-disturbance torques on the stability and control performance of two-axis gimbals.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. Mathematical models of two-axis gimbal systems were synthesized by the Lagrange method. The operation of two-axis gimbal systems was simulated in the Matlab-Simulink environment. Results. Mathematical models and structural diagrams of the synthesized Yaw-Pitch and Swing-Roll gimbals were obtained. The conducted simulations of typical cases revealed different cross-disturbance effects.</p></sec><sec><title>Conclusion</title><p>Conclusion. Motion equations for Swing-Roll and Yaw-Pitch gimbals were derived using similar methodology. The impact of cross-disturbance torques on gimbal systems was evaluated. The obtained results form a basis for selecting an optimal structure of tracking systems meeting the desired characteristics.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. Two-axis gimbal systems are applied for stabilizing and controlling the line of sight (LOS) of an optical or imaging system mounted on a moving vehicle. Gimbal systems are intended to isolate various disturbance torques and control the LOS toward the direction of a target. Two-axis gimbals can be of two main types, namely Yaw-Pitch and Swing-Roll type. In this article, we focus on investigating mathematical models of two-axis gimbals, which describe the impact of cross-disturbance torques on their stability and control performance. Simulations were conducted to compare advantages and disadvantages of the two types of two-axis gimbals.</p></sec><sec><title>Aim</title><p>Aim. To study mathematical models describing the impact of cross-disturbance torques on the stability and control performance of two-axis gimbals.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. Mathematical models of two-axis gimbal systems were synthesized by the Lagrange method. The operation of two-axis gimbal systems was simulated in the Matlab-Simulink environment. Results. Mathematical models and structural diagrams of the synthesized Yaw-Pitch and Swing-Roll gimbals were obtained. The conducted simulations of typical cases revealed different cross-disturbance effects.</p></sec><sec><title>Conclusion</title><p>Conclusion. Motion equations for Swing-Roll and Yaw-Pitch gimbals were derived using similar methodology. The impact of cross-disturbance torques on gimbal systems was evaluated. The obtained results form a basis for selecting an optimal structure of tracking systems meeting the desired characteristics.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>two-axis gimbal</kwd><kwd>disturbance torque</kwd><kwd>inertially-stabilized platform</kwd></kwd-group><kwd-group xml:lang="en"><kwd>two-axis gimbal</kwd><kwd>disturbance torque</kwd><kwd>inertially-stabilized platform</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Hilkert J. 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