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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">10.32603/1993-8985-2023-26-3-77-89</article-id><article-id custom-type="elpub" pub-id-type="custom">radioelectronics-762</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>Сопровождение маневрирующих целей с использованием многомодельного алгоритма с переменной структурой</article-title><trans-title-group xml:lang="en"><trans-title>Tracking of Maneuvering Targets Using a Variable Structure Multiple Model Algorithm</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8913-3296</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хоанг</surname><given-names>Ле Минь</given-names></name><name name-style="western" xml:lang="en"><surname>Hoang</surname><given-names>Le Minh</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ле Минь Хоанг – специалист по направлению  "Радиоэлектронные системы и комплексы", аспирант.</p><p> Автор двух научных публикаций. Сфера научных  интересов – радиолокация; вторичная и третичная  обработка радиолокационной информации.</p><p>ул. Хоанг Куок Вьет, д. 236, район Бак Ты Лием, Ханой</p></bio><bio xml:lang="en"><p>Le Minh Hoang, Specialist in "Radioelectronic Systems  and Complexes", Postgraduate student.</p><p>The author of 2 scientific publications. Area of expertise:  radiolocation; secondary and tertiary processing of radar  information.</p><p>236, Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><email xlink:type="simple">lehoang.navy@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0004-1943-5394</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коновалов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Konovalov</surname><given-names>Aleksandr A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Коновалов Александр Анатольевич - кандидат  технических наук, старший научный сотрудник.</p><p>Автор более 60 научных работ. Сфера научных  интересов - траекторное сопровождение в  радиолокационных системах; объединение данных;  пассивная бистатическая радиолокация;  многопозиционная радиолокация.</p><p>ул. Профессора Попова, д. 5 Ф, Санкт-Петербург, 197002</p></bio><bio xml:lang="en"><p>Aleksandr A. Konovalov, Cand. Sci. (Eng.), Senior  Researcher of Research Institute "Prognoz" of Saint  Petersburg State Electrotechnical University.</p><p>The author more than 60 scientific publications. Area of  expertise: target tracking; data fusion; passive bistatic  radars; multi-position radars.</p><p>5 F Professor Popov St., St Petersburg 197002</p></bio><email xlink:type="simple">al_an_kon@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8006-3076</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лук</surname><given-names>Дао Ван</given-names></name><name name-style="western" xml:lang="en"><surname>Luc</surname><given-names>Dao Van</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дао Ван Лук – специалист по направлению  "Радиоэлектронные системы и комплексы", аспирант.</p><p>Автор двух научных публикаций. Сфера научных  интересов – радиолокация; вторичная и третичная  обработка радиолокационной информации.</p><p>ул. Хоанг Куок Вьет, д. 236, район Бак Ты Лием, Ханой</p></bio><bio xml:lang="en"><p>Dao Van Luc, Specialist in "Radioelectronic systems and  complexes", Postgraduate student.</p><p>The author of 2 scientific publications. Area of expertise:  radiolocation; secondary and tertiary processing of radar  information.</p><p>236, Hoang Quoc Viet St., Bac Tu Liem, Ha Noi</p></bio><email xlink:type="simple">daolucvtl01@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Вьетнамский государственный технический университет им. Ле Куй Дона</institution><country>Вьетнам</country></aff><aff xml:lang="en"><institution>Le Quy Don Technical University</institution><country>Viet Nam</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>НИИ "Прогноз"</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Research Institute "Prognoz"</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>06</day><month>07</month><year>2023</year></pub-date><volume>26</volume><issue>3</issue><fpage>77</fpage><lpage>89</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Хоанг Л., Коновалов А.А., Лук Д., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Хоанг Л., Коновалов А.А., Лук Д.</copyright-holder><copyright-holder xml:lang="en">Hoang L., Konovalov A.A., Luc D.</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/762">https://re.eltech.ru/jour/article/view/762</self-uri><abstract><p>Введение. В последние годы большое внимание уделяется разработке методов траекторной фильтрации для сопровождения маневрирующих целей. Общепризнанными методами фильтрации параметров траекторий маневрирующих целей являются многомодельные (Multiply-Model – ММ) алгоритмы. Традиционные ММалгоритмы имеют фиксированную структуру. Однако для высокоманевренных целей приходится использовать достаточно большой набор моделей, перекрывающий весь диапазон возможных маневров, при том что увеличение числа моделей не гарантирует повышение точности сопровождения. Для преодоления указанных проблем были предложены MM-алгоритмы с переменной структурой (Variable Structure MM – VSMM). В настоящей статье для сопровождения надводных целей, совершающих поворот с постоянной скоростью, предлагаются два алгоритма VSMM. Это алгоритмы с переменным набором моделей, использующие методы адаптивной сетки и переключения сетки.Цель работы. Разработка адаптивного алгоритма траекторного сопровождения, использующего модель постоянного поворота для сопровождения надводных маневрирующих объектов.Материалы и методы. Полученный алгоритм основан на теории сеточной адаптации в MM-методах оценивания и используется для оценки компонент векторов координат и скорости надводных маневрирующих целей. Эффективность алгоритма оценивалась с помощью компьютерного статистического моделирования в среде MATLAB.Результаты. В статье построена структура адаптивного алгоритма VSMM. Проведено моделирование, демонстрирующее работоспособность алгоритма. В рассмотренных сценариях моделирования алгоритм дает эффективные оценки векторов координат и скорости надводных маневрирующих целей.Заключение. Результаты моделирования показывают, что использование адаптивных алгоритмов существенно повышает эффективность сопровождения по сравнению с MM-алгоритмом с фиксированной структурой и при этом экономит вычислительные ресурсы.</p></abstract><trans-abstract xml:lang="en"><p>Introduction. In recent years, much attention has been paid to the development of trajectory filtering methods for tracking maneuvering targets. Multi-model (MM) algorithms are widely used for filtering maneuvering targets. Conventional MM algorithms are characterized by a fixed structure. However, highly maneuvering targets require a sufficiently large set of models covering the entire range of possible maneuvers, although an increase in the number of models cannot ensure an increase in the accuracy of tracking. To overcome these problems, multiple model algorithms with a variable structure (VSMM) were proposed. This article proposes two VSMM algorithms for tracking maritime targets performing a coordinated turn at constant speed. These are algorithms with a variable set of models based on adaptive grid and switching grid methods.Aim. To develop an adaptive trajectory tracking algorithm that uses a constant turn model to track maneuvering surface objects.Materials and methods. The resulting algorithm is based on the theory of grid adaptation in multi-model estimation methods and is used to estimate the components of the coordinate and velocity vectors of surface maneuvering targets. The algorithm efficiency was evaluated using computer statistical modeling in the MATLAB environment.Results. The structure of an adaptive VSMM algorithm was described. Simulations were carried out to confirm the algorithm efficiency. In the considered simulation scenarios, the algorithm produces effective estimates of the coordinate vectors and speed of surface maneuvering targets.Conclusion. Adaptive algorithms improve the efficiency of target tracking in comparison with multi-model algorithms with a fixed structure, at the same time as saving computational resources.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>сопровождение цели</kwd><kwd>многомодельный алгоритм</kwd><kwd>ИММ-алгоритм</kwd><kwd>VSMM-алгоритм</kwd><kwd>алгоритм адаптивной сетки</kwd><kwd>алгоритм переключения сетки</kwd><kwd>модель постоянного поворота</kwd></kwd-group><kwd-group xml:lang="en"><kwd>target tracking</kwd><kwd>multiply model algorithm</kwd><kwd>IMM algorithm</kwd><kwd>VSMM algorithm</kwd><kwd>adaptive grid algorithm</kwd><kwd>switching grid algorithm</kwd><kwd>coordinated turn model</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">Bar-Shalom Y., Li X. R., Kirubarajan T. Estimation with Applications to Tracking and Navigation. 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