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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">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="edn" pub-id-type="custom">KEQWBG</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-119</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Адаптивная система управления угловым движением малоразмерного космического аппарата</article-title><trans-title-group xml:lang="en"><trans-title>An Adaptive Attitude Control System for Small Satellites</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>Крамлих</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kramlikh</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Крамлих Андрей Васильевич. Кандидат технических наук, доцент. Член секции молодых ученых международной общественной организации «Академия навигации и управления движением»</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Самарский национальный исследовательский университет имени академика С.П. Королева</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Samara National Research University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>20</day><month>05</month><year>2025</year></pub-date><volume>33</volume><issue>1</issue><fpage>106</fpage><lpage>124</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Крамлих А.В., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Крамлих А.В.</copyright-holder><copyright-holder xml:lang="en">Kramlikh A.V.</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://www.gyroscopy.ru/jour/article/view/119">https://www.gyroscopy.ru/jour/article/view/119</self-uri><abstract><p>В статье описывается подход к построению системы управления угловым движением малоразмерного космического аппарата (МКА), адаптивной к возможным отказам измерительных и исполнительных устройств. Метод основан на идее включения в контур системы ее цифрового двойника, предназначенного для детектирования отказов измерительных средств с использованием прогнозных значений измерений, которые рассчитываются по адаптивным бортовым моделям движения МКА. Такой подход увеличивает нагрузку на бортовые вычислительные средства МКА, однако позволяет предотвратить обработку недостоверных измерительных данных в контуре обратной связи. Компенсация отказа измерительных средств производится путем реконфигурации алгоритмического обеспечения, с помощью которого определяется ориентация МКА. Для компенсации отказов отдельных каналов исполнительных устройств предложен алгоритм управления угловым движением МКА, чья структура имеет вид четных рядов Фурье.</p></abstract><trans-abstract xml:lang="en"><p>The paper describes an approach to designing an attitude control system for small spacecraft (SS), adaptive to possible failures of sensors and actuators. With this aim in view, the system loop includes its digital twin, which is designed to detect failures of measuring equipment using predicted measurement values calculated based on onboard adaptive SS motion models. This approach increases the SS onboard computational burden, but prevents processing of unreliable measurement data in the feedback loop. Compensation for the failure of sensors and actuators is performed by reconfiguring the algorithmic support used to determine the SS attitude. To compensate for failures of actuators’ individual channels, an algorithm for SS attitude control is proposed, the structure of which has the form of even Fourier series. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>малоразмерный космический аппарат</kwd><kwd>цифровой двойник</kwd><kwd>управление</kwd><kwd>переориентация</kwd><kwd>отказ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>small spacecraft</kwd><kwd>digital twin</kwd><kwd>control</kwd><kwd>reorientation</kwd><kwd>failure</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счет гранта Российского научного фонда № 23-67-10007</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Puig-Suari, J., Turner, C., Twiggs, R.J., CubeSat: The Development and Launch Support Infrastructure for Eighteen Different Satellite Customers on One Launch, AIAA/USU Conference on Small Satellites, 2001.</mixed-citation><mixed-citation xml:lang="en">Puig-Suari, J., Turner, C., Twiggs, R.J., CubeSat: The Development and Launch Support Infrastructure for Eighteen Different Satellite Customers on One Launch, AIAA/USU Conference on Small Satellites, 2001.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Bouwmeester, J. and Guo, J., Survey of worldwide pico- and nanosatellite missions, distributions and subsystem technology, Acta Astronautica, 2010, vol. 67, pp. 854–862.</mixed-citation><mixed-citation xml:lang="en">Bouwmeester, J. and Guo, J., Survey of worldwide pico- and nanosatellite missions, distributions and subsystem technology, Acta Astronautica, 2010, vol. 67, pp. 854–862.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Selva, D., Krejci, D., A survey and assessment of the capabilities of Cubesats for Earth observation, Acta Astronautica, 2012, vol. 74, pp. 50–68.</mixed-citation><mixed-citation xml:lang="en">Selva, D., Krejci, D., A survey and assessment of the capabilities of Cubesats for Earth observation, Acta Astronautica, 2012, vol. 74, pp. 50–68.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Nanosats Database. 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