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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 pub-id-type="doi">10.17285/0869-7035.0064</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-171</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>Отказоустойчивое управление групповым полетом мультикоптеров</article-title><trans-title-group xml:lang="en"><trans-title>Fault-Tolerant Control Design for Multirotor UAVs Formation Flight</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>Слим</surname><given-names>M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Слим Малак. Аспирант, Американский университет Бейрута (Ливан); Научно-исследовательский центр приборостроения, факультет приборостроения, Ливанский университет (Хадат, Ливан). </p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сайед</surname><given-names>M.</given-names></name><name name-style="western" xml:lang="en"><surname>Saied</surname><given-names>M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сайед Мадж. Доцент</p></bio><bio xml:lang="en"><p>Saied, M.</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мазех</surname><given-names>Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Mazeh</surname><given-names>H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мазех Хусейн. Преподаватель</p></bio><bio xml:lang="en"><p>Mazeh, H.</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шраим</surname><given-names>Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Shraim</surname><given-names>H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шраим Хасан. Декан</p></bio><bio xml:lang="en"><p>Shraim, H.</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Франсис</surname><given-names>К.</given-names></name><name name-style="western" xml:lang="en"><surname>Francis</surname><given-names>C.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Франсис Кловис. Директор, Научно-исследовательский центр приборостроения</p></bio><bio xml:lang="en"><p>Francis, C. </p></bio><xref ref-type="aff" rid="aff-5"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Американский университет Бейрута (Ливан), Ливанский университет (Хадат, Ливан)</institution><country>Ливан</country></aff><aff xml:lang="en"><institution>Scientific Research Center in Engineering, Faculty of Engineering, Lebanese University, Hadath, Lebanon</institution><country>Lebanon</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Ливанский университет  (Хадат, Ливан)</institution><country>Ливан</country></aff><aff xml:lang="en"><institution>Lebanese University, Hadath, Lebanon</institution><country>Lebanon</country></aff></aff-alternatives><aff xml:lang="ru" id="aff-3"><institution>Университетский колледж Матна (Бейрут, Ливан), Ливанский университет (Хадат, Ливан)</institution><country>Lebanon</country></aff><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Ливанский университет (Хадат, Ливан)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Lebanese University, Hadath, Lebanon</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-5"><aff xml:lang="ru"><institution>Ливанский университет (Хадат, Ливан)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Scientific Research Center in Engineering, Lebanese University, Hadath, Lebanon</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>26</day><month>09</month><year>2025</year></pub-date><volume>29</volume><issue>2</issue><fpage>78</fpage><lpage>96</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Слим M.S., Сайед M., Мазех Х., Шраим Х., Франсис К., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Слим M., Сайед M., Мазех Х., Шраим Х., Франсис К.</copyright-holder><copyright-holder xml:lang="en">Слим M.S., Saied M., Mazeh H., Shraim H., Francis C.</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/171">https://www.gyroscopy.ru/jour/article/view/171</self-uri><abstract><p>В статье для решения задачи оперативной оптимизации в процессе распределенного управления строем гексакоптеров без лидера используется алгоритм управления искусственным пчелиным роем, наилучший в глобальном смысле (Gbest-Guided Artificial Bee Colony – GABC, АУПР-ГЛ). АУПР-ГЛ обеспечивает оптимизацию целевой функции для каждого агента при приближении гексакоптера к заданной точке и обходе препятствий и других беспилотных летательных аппаратов (БПЛА). Показано, что он может конкурировать с другими применяемыми бионическими алгоритмами, например оптимизации роя частиц (Particle Swarm Optimization – PSO, ОРЧ). Представлены методы отказоустойчивого управления, которые протестированы на разных сценариях, в частности для случая потери агентов и отказа актюаторов в строе. Результаты демонстрируют, что предлагаемые методы отказоустойчивого управления способны минимизировать влияние отказов на конечную задачу строя БПЛА.</p></abstract><trans-abstract xml:lang="en"><p>This paper proposes the use of the Gbest-Guided Artificial Bee Colony (GABC) algorithm to solve an online optimization problem for the leaderless distributed formation control of hexarotor Unmanned Aerial Vehicles (UAVs). The GABC is employed to optimize a cost function for each agent while ensuring the convergence of the fleet to the target position and averting both obstacles and collisions with other UAVs. The GABC algorithm has been shown to be competitive with some other conventional biological-inspired algorithms such as the Particle Swarm Optimization (PSO). Fault-Tolerant Control (FTC) methods are presented and tested on several scenarios, particularly we considered the cases of loss of agents and actuator faults in the fleet. Results show the success of the proposed FTC methods to minimize the faults effect on the formation final goal.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Беспилотные летательные аппараты</kwd><kwd>алгоритм управления пчелиным роем</kwd><kwd>управление строем БПЛА</kwd><kwd>отказоустойчивое управление.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Unmanned aerial vehicles</kwd><kwd>Artificial Bee Colony algorithm</kwd><kwd>formation control</kwd><kwd>fault-tolerant control.</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">Shakhatreh, H., Sawalmeh, A., Al-Fuqaha, A., Dou, Z., Almaita, E., Khalil, I., Othman, N., Khreishah, A., and Guizani, M., Unmanned Aerial Vehicles (UAVs): A survey on civil applications and key research challenges, IEEE Access 7, 2019, pp. 48572-48634.</mixed-citation><mixed-citation xml:lang="en">Shakhatreh, H., Sawalmeh, A., Al-Fuqaha, A., Dou, Z., Almaita, E., Khalil, I., Othman, N., Khreishah, A., and Guizani, M., Unmanned Aerial Vehicles (UAVs): A survey on civil applications and key research challenges, IEEE Access 7, 2019, pp. 48572-48634.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Sreenath, K. and Kumar, V., Dynamics, control and planning for cooperative manipulation of payloads suspended by cables from multiple quadrotor robots, in Robotics: Science and Systems, Berlin, 2013.</mixed-citation><mixed-citation xml:lang="en">Sreenath, K. and Kumar, V., Dynamics, control and planning for cooperative manipulation of payloads suspended by cables from multiple quadrotor robots, in Robotics: Science and Systems, Berlin, 2013.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Franchi, A., Secchi, C., Ryll, M., Bulthoff, H., and Giordano, P., Shared control: Balancing autonomy and human assistance with a group of quadrotor UAVs, IEEE Robot. 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