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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">vestnikvniizht</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Научно-исследовательского института железнодорожного транспорта (ВЕСТНИК ВНИИЖТ)</journal-title><trans-title-group xml:lang="en"><trans-title>RUSSIAN RAILWAY SCIENCE JOURNAL</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-9731</issn><issn pub-type="epub">2713-2560</issn><publisher><publisher-name>Joint Stock Company "Railway Research Institute"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21780/2223-9731-2024-83-3-270-277</article-id><article-id custom-type="edn" pub-id-type="custom">https://elibrary.ru/knirgq</article-id><article-id custom-type="elpub" pub-id-type="custom">vestnikvniizht-811</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>Автоматизация и управление технологическими процессами на железнодорожном транспорте</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>AUTOMATION AND CONTROL OF TECHNOLOGICAL PROCESSES  IN RAILWAY TRANSPORT</subject></subj-group></article-categories><title-group><article-title>Высокоточное позиционирование робототехнических комплексов на программных траекториях с использованием измерений спутниковых навигационных систем</article-title><trans-title-group xml:lang="en"><trans-title>High-precision positioning of robotic systems on programme trajectories using satellite navigation measurements</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5246-841X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Соколов</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Sokolov</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Викторович СОКОЛОВ, д-р техн. наук, профессор, заведующий кафедрой информатики и вычислительной техники; главный научный сотрудник, научный отдел, департамент научных исследований, аналитики и совершенствования научно-технической деятельности</p><p>111024, г. Москва, ул. Авиамоторная, д. 8а</p><p>107078, г. Москва, Орликов пер., д. 5</p><p>Author ID: 3225</p></bio><bio xml:lang="en"><p>Sergey V. SOKOlOV, Dr. Sci. (Eng.), Professor, Head of the Department of Informatics and Computer Engineering; Chief Researcher, Scientific Department, Department of Scientific Research, Analytics and Improvement of Scientific and Technical Activity</p><p>111024, Moscow, 8a, Aviamotornaya St.</p><p>107078, Moscow, 5, Orlikov Lane</p><p>Author ID: 3225</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2863-5863</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Охотников</surname><given-names>А. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Okhotnikov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андрей Леонидович ОХОТНИКОВ, заместитель начальника Департамента — начальник отдела стратегического развития</p><p>107078, г. Москва, Орликов пер., д. 5</p><p>Author ID: 916989</p></bio><bio xml:lang="en"><p>Andrey l. OKHOTNIKOV, Deputy Head of the Department – Head of the Strategic Development Department</p><p>107078, Moscow, 5, Orlikov Lane</p><p>Author ID: 916989</p></bio><email xlink:type="simple">a.ohotnikov@vniias.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/0000-0001-5795-8146</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Маршаков</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Marshakov</surname><given-names>D. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Даниил Витальевич МАРШАКОВ, канд. техн. наук, доцент, доцент кафедры информатики и вычислительной техники</p><p>111024, г. Москва, ул. Авиамоторная, д. 8а</p><p>Author ID: 773295</p></bio><bio xml:lang="en"><p>Daniil V. MARSHAKOV, Cand. Sci. (Eng.), Associate Professor, Associate Professor of the Department of Informatics and Computer Engineering</p><p>111024, Moscow, 8a, Aviamotornaya St.</p><p>Author ID: 773295</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7318-7396</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Решетникова</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Reshetnikova</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ирина Витальевна РЕШЕТНИКОВА, канд. техн. наук, доцент, доцент кафедры инфокоммуникационных технологий и систем связи</p><p>111024, г. Москва, ул. Авиамоторная, д. 8а</p><p>Author ID: 519983</p></bio><bio xml:lang="en"><p>Irina V. RESHETNIKOVA, Cand. Sci. (Eng.), Associate Professor, Associate Professor of Infocommunication Technologies and Communication Systems</p><p>111024, Moscow, 8a, Aviamotornaya St.</p><p>Author ID: 519983</p></bio><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Московский технический университет связи и информатики; Научно-исследовательский и проектно-конструкторский институт информатизации, автоматизации и связи на железнодорожном транспорте<country>Россия</country></aff><aff xml:lang="en">Moscow Technical University of Communications and Informatics; Automation and Communication on Railway Transport, Research and Design Institute of Informatisation<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Научно-исследовательский и проектно-конструкторский институт информатизации, автоматизации и связи на железнодорожном транспорте<country>Россия</country></aff><aff xml:lang="en">Research and Design Institute of Informatisation, Automation and Communication on Railway Transport<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru">Московский технический университет связи и информатики<country>Россия</country></aff><aff xml:lang="en">Moscow Technical University of Communications and Informatics<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>26</day><month>09</month><year>2024</year></pub-date><volume>83</volume><issue>3</issue><fpage>270</fpage><lpage>277</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Соколов С.В., Охотников А.Л., Маршаков Д.В., Решетникова И.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Соколов С.В., Охотников А.Л., Маршаков Д.В., Решетникова И.В.</copyright-holder><copyright-holder xml:lang="en">Sokolov S.V., Okhotnikov A.I., Marshakov D.V., Reshetnikova I.V.</copyright-holder><license 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.journal-vniizht.ru/jour/article/view/811">https://www.journal-vniizht.ru/jour/article/view/811</self-uri><abstract><sec><title>Введение</title><p>Введение. Основной проблемой при обработке спутниковых измерений остается борьба с их помехами, особенно интенсивными в условиях пересеченной местности, городской инфраструктуры, при усилении атмосферных возмущений, создании искусственных помех. Практика применения спутниковых навигационных систем последних лет показала неэффективность использования в подобных условиях традиционных методов обработки спутниковых сообщений, построенных на основе метода наименьших квадратов или его модификаций. Данные алгоритмы не в состоянии обеспечить требуемую точность пространственной ориентации для подвижных робототехнических комплексов, функционирующих в условиях интенсивных возмущений различной физической природы. Это приводит к необходимости применения алгоритмов обработки стохастической информации, более эффективных, чем метод наименьших квадратов, в частности построенных на основе теории нелинейной стохастической фильтрации. Основной трудностью в этом случае является синтез уравнений движения робототехнических комплексов, инвариантных к виду их движения и случайным условиям среды функционирования. В то же время, как показывает практика, подавляющее большинство комплексов движется по программным траекториям, обеспечивающим возможность аналитического описания параметров их движения, что создает предпосылки к решению задачи синтеза данных уравнений.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Предложен навигационный алгоритм для робототехнических комплексов, движущихся по заданной траектории в условиях случайных возмущающих факторов. В основу алгоритма положено комплексирование методов нелинейной стохастической фильтрации для оценки состояния динамических систем, функционирующих в условиях помех, с нетрадиционными алгоритмами обработки спутниковых измерений и данных электронных карт.</p></sec><sec><title>Результаты</title><p>Результаты. Для робототехнического комплекса, осуществляющего экологический мониторинг, моделировалось движение в плоскости местного меридиана из начальной точки с долготой 30º и широтой 45º. Выполнен анализ точности разработанного алгоритма путем оценки траектории робототехнического комплекса при использовании двух классов спутниковых навигационных систем — средней и низкой точности.</p></sec><sec><title>Обсуждения и заключение</title><p>Обсуждения и заключение. Результаты численного эксперимента в совокупности с отмеченными выше преимущественными особенностями предложенного метода позволяют сделать вывод о возможности его эффективного практического применения для позиционирования подвижных робототехнических комплексов.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The main issue in processing satellite measurements remains the struggle with their interference, especially intensive in rugged terrain, cities, atmospheric disturbances and artificial interference. Use of satellite navigation in recent years shows that such conditions undermine traditional satellite signal processing methods based on the least squares method or its modifications. These algorithms are unable to provide the required accuracy of spatial orientation for mobile robotic systems operating under intensive disturbances of various physical nature. This requires new algorithms for processing stochastic information more efficient than the least squares method, in particular, based on the theory of nonlinear stochastic filtration. The main challenge in this case is the synthesis of equations of motion of robotic complexes invariant to its type and random conditions of the environment of its functioning. At the same time, as practice shows, the vast majority of complexes move along programme trajectories that allow for analytical description of their motion parameters, which creates prerequisites for solving the problem of synthesis of these equations.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. This paper proposes a navigation algorithm for robotic systems moving along a given trajectory under random perturbing factors. The algorithm is based on the combination of nonlinear stochastic filtering methods for estimating the state of dynamic systems operating under disturbances with non-traditional algorithms for processing satellite measurements and electronic map data.</p></sec><sec><title>Results</title><p>Results. For an environmental monitoring robot system, the authors modelled the motion in the plane of the local meridian from an initial point with longitude 30° and latitude 45°. The paper analyses the accuracy of the developed algorithm by estimating the trajectory of the robotic system using two classes of satellite navigation systems: medium and low precision.</p><p>Discussion and conclusion. The results of the numerical experiment together with the above-mentioned advantages of the proposed method allow us to consider its effective practical application for positioning of mobile robotic systems.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>робототехнические комплексы</kwd><kwd>спутниковые измерения</kwd><kwd>электронные карты</kwd><kwd>стохастическая фильтрация</kwd><kwd>расширенный фильтр Калмана</kwd></kwd-group><kwd-group xml:lang="en"><kwd>robotic systems</kwd><kwd>satellite measurements</kwd><kwd>electronic maps</kwd><kwd>stochastic filtering</kwd><kwd>extended Kalman filter</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">Bhatti J., Humphreys T. Hostile control of ships via false GPS signals: Demonstration and detection. 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