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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">novtexmech</journal-id><journal-title-group><journal-title xml:lang="ru">Мехатроника, автоматизация, управление</journal-title><trans-title-group xml:lang="en"><trans-title>Mekhatronika, Avtomatizatsiya, Upravlenie</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1684-6427</issn><issn pub-type="epub">2619-1253</issn><publisher><publisher-name>Commercial Publisher «New Technologies»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17587/mau.27.215-224</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-1986</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>ДИНАМИКА, БАЛЛИСТИКА И УПРАВЛЕНИЕ ДВИЖЕНИЕМ ЛЕТАТЕЛЬНЫХ АППАРАТОВ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>DYNAMICS, BALLISTICS AND CONTROL OF AIRCRAFT</subject></subj-group></article-categories><title-group><article-title>Алгоритмизация стабилизирующего управления положением группы механически связанных БПЛА</article-title><trans-title-group xml:lang="en"><trans-title>Control Algorithm for Position Stabilization of a Group of Mechanically Coupled UAVs</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>Банников</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bannikov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>А. А. Банников, аспирант</p><p>г. Ижевск</p></bio><bio xml:lang="en"><p>Izhevsk, 426069, Udmurt Republic</p></bio><email xlink:type="simple">terador7@ya.ru</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>Дерюшев</surname><given-names>П. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Deryushev</surname><given-names>P. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>П. Н. Дерюшев, аспирант</p><p>г. Ижевск</p></bio><bio xml:lang="en"><p>Izhevsk, 426069, Udmurt Republic</p></bio><email xlink:type="simple">pavelderyusev@mail.ru</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>Караваев</surname><given-names>Ю. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Karavaev</surname><given-names>Yu. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ю. Л. Караваев, д-р техн. наук, доц.</p><p>г. Ижевск</p><p>г. Екатеринбург</p></bio><bio xml:lang="en"><p>Izhevsk, 426069, Udmurt Republic</p><p>Yekaterinburg, 620108</p></bio><email xlink:type="simple">karavaev_yury@istu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">ИжГТУ имени М. Т. Калашникова<country>Россия</country></aff><aff xml:lang="en">Kalashnikov Izhevsk State Technical University<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">ИжГТУ имени М. Т. Калашникова; ИММ УрО РАН<country>Россия</country></aff><aff xml:lang="en">Kalashnikov Izhevsk State Technical University; Krasovskii Institute of Mathematics and Mechanics<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>10</day><month>04</month><year>2026</year></pub-date><volume>27</volume><issue>4</issue><fpage>215</fpage><lpage>224</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Commercial Publisher «New Technologies»</copyright-holder><copyright-holder xml:lang="en">Commercial Publisher «New Technologies»</copyright-holder><license xlink:href="https://mech.novtex.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://mech.novtex.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://mech.novtex.ru/jour/article/view/1986">https://mech.novtex.ru/jour/article/view/1986</self-uri><abstract><p>Рассматривается задача разработки системы управления для группы беспилотных летательных аппаратов (БПЛА) мультироторного типа, совместно выполняющих транспортировку полезной нагрузки. Актуальность рассматриваемой задачи обусловлена ростом интереса к применению кооперативных беспилотных систем в логистике, промышленной автоматизации и спасательных операциях. Особенность рассматриваемой конфигурации заключается в том, что груз закреплен на жесткой раме, а каждый БПЛА соединен с ней посредством сферического шарнира, что создает систему с механическими связями. Такая конфигурация представляет интерес с точки зрения изучения сложных динамических систем с механическими связями и разработки эффективных методов группового управления. Для анализа и проектирования предложена математическая модель, описывающая динамику движения как отдельных аппаратов, так и всей связанной системы в целом, включая взаимодействие между летательными аппаратами и грузом.</p><p>На основе полученной математической модели разработан алгоритм управления, обеспечивающий устойчивое согласованное движение группы БПЛА вдоль заданных траекторий при сохранении требуемой ориентации груза. В работе показано, что предложенный алгоритм позволяет стабилизировать систему БПЛА при наличии внешних возмущений и движении вдоль сложных траекторий полета и демонстрируют возможность масштабирования на системы с большим числом аппаратов и различной конфигурацией нагрузки.</p><p>Результаты компьютерного моделирования подтверждают эффективность разработанной системы управления. Полученные выводы могут быть использованы при проектировании реальных прототипов систем совместной транспортировки, а также способствуют развитию методов группового управления БПЛА. Представленные результаты имеют практическую значимость для задач логистики, доставки грузов в труднодоступные районы и кооперативного применения БПЛА в различных сферах. Представленные подходы могут послужить основой для дальнейших исследований в области кооперативного управления беспилотными системами.</p></abstract><trans-abstract xml:lang="en"><p>This paper addresses the problem of developing a control system for a group of multirotor unmanned aerial vehicles (UAVs) collaboratively transporting a payload. The importance of this problem arises from the growing interest in cooperative UAV systems for logistics, industrial automation, and rescue operations. The configuration of UAVs under consideration is characterized by the payload being attached to a rigid frame and each UAV connected to it through a spherical joint, forming a mechanically coupled system. Such a configuration is of particular interest for studying complex dynamical systems with mechanical couplings and for developing effective methods of cooperative control. To support analysis and controller design, a mathematical model is proposed that describes the dynamics of both individual UAVs and the coupled system as a whole, including the interaction between the aerial vehicles and the payload. Based on this model, a control algorithm was developed to ensure stable and coordinated motion of the UAV group along prescribed trajectories while maintaining the required payload orientation. The study demonstrates that the proposed algorithm stabilizes the UAV system under external disturbances and during motion along complex flight paths, while also demonstrating scalability to larger UAV groups and various payload configurations. Simulation results validate the effectiveness of the developed control system. The findings can be applied in the design of real-world cooperative transport prototypes and contribute to the advancement of cooperative UAV control methods. The presented results hold practical significance for logistics, delivery of goods to hard-to-reach areas, and the collaborative use of UAVs in various application fields. Moreover, the proposed approaches may serve as a foundation for further research in the field of cooperative unmanned system control.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>беспилотные летательные аппараты</kwd><kwd>совместная транспортировка</kwd><kwd>стабилизация</kwd><kwd>моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Unmanned aerial vehicles</kwd><kwd>cooperative transportation</kwd><kwd>stabilization</kwd><kwd>modeling</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">Elmokadem T., Savkin A. V. Towards Fully Autonomous UAVs: A Survey // Sensors. 2021. Vol. 21, N. 18. Article 6223. DOI:10.3390/s21186223.</mixed-citation><mixed-citation xml:lang="en">Elmokadem T., Savkin A. 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