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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.25.372-379</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-1594</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, 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>Робастное позиционирование беспилотных объектов с использованием спутниковых измерений и данных цифровой модели пути</article-title><trans-title-group xml:lang="en"><trans-title>Robust Positioning of Unmanned Vehicles with the Application of Satellite Measurements and Digital Path Model Data</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>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>д-р техн. наук, проф., зав. научно-производственной лабораторией</p></bio><bio xml:lang="en"><p>Dr. of Eng., Professor, Head of the research and production laboratory</p><p>Rostov-on-Don</p><p> </p></bio><email xlink:type="simple">s.v.s.888@yandex.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>Охотников</surname><given-names>А. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Okhotnikov</surname><given-names>A. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>заместитель начальника Департамента — начальник отдела стратегического развития</p></bio><bio xml:lang="en"><p>Deputy Head of the Information Technology Department — Head of the Strategic Development Department</p><p>Moscow</p></bio><email xlink:type="simple">a.ohotnikov@vniias.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Научно-исследовательский и проектно-конструкторский институт информатизации, автоматизации и связи на железнодорожном транспорте (АО "НИИАС")</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Research and Design Institute for Information Technology, Signalling and Telecommunications on Railway Transport (JSC NIIAS)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>18</day><month>07</month><year>2024</year></pub-date><volume>25</volume><issue>7</issue><fpage>372</fpage><lpage>379</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2024</copyright-statement><copyright-year>2024</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/1594">https://mech.novtex.ru/jour/article/view/1594</self-uri><abstract><p>Предложен новый подход к обработке спутниковых навигационных измерений для устойчивого позиционирования беспилотных объектов, движущихся по программным траекториям в условиях помеховых воздействий. Современные методы обработки зашумленных спутниковых измерений используют, в основном, различные модификации метода наименьших квадратов, обеспечивая устойчивость и требуемую точность позиционирования, как правило, для стационарных объектов. В то же время, для оценки состояния высокодинамичных беспилотных объектов, функционирующих в условиях неопределенных возмущений, наиболее эффективным является применение методов теории стохастической фильтрации, учитывающих и динамику движения объекта, и наличие возмущений объекта и шумов измерений. В связи с этим в основу предложенного подхода к позиционированию беспилотных объектов положено использование методов нелинейной стохастической фильтрации, в частности рассмотренного в статье метода робастной нелинейной фильтрации, обеспечивающего устойчивость процесса позиционирования. При этом повышение точности позиционирования беспилотного объекта предлагается достичь за счет применения цифровой модели пути, формируемой на базе высокоточных геодезических измерений и обеспечивающей возможность аппроксимации с требуемой точностью программной траектории беспилотного объекта набором ортодромических траекторных интервалов, на которых существует аналитическая связь пространственных координат объекта. Это, в свою очередь, обеспечивает высокую точность позиционирования и резкое сокращение вычислительных затрат. В целом комплексирование информации цифровой модели пути и алгоритмов робастной стохастической фильтрации для обработки зашумленных спутниковых измерений позволило обеспечить как устойчивость процесса оценки текущих координат беспилотного объекта, так и резкое сокращение вычислительных затрат по сравнению с известными методами обработки спутниковых измерений. Эффективность предложенного метода проиллюстрирована численным примером</p></abstract><trans-abstract xml:lang="en"><p>A new approach to the processing of satellite navigation measurements for the stable positioning of unmanned vehicles moving along program trajectories under conditions of interference is proposed. Modern methods of processing noisy satellite measurements mainly use various modifications of the least squares method, providing stability and the required positioning accuracy, as a rule, for stationary objects. At the same time, application of stochastic filtration theory methods that take into account both the dynamics of the object’s movement, and the presence of object disturbances and measurement noise are the most effective methods to assess the state of highly dynamic unmanned vehicles operating under conditions of uncertain disturbances. In this regard, the proposed approach to the positioning of unmanned vehicles is based on the application of nonlinear stochastic filtering methods, in particular, the robust nonlinear filtration method considered in the article that ensures the stability of the positioning process. At the same time, it is proposed to use digital path model to increase the accuracy of positioning an unmanned vehicle. This model is formed on the basis of high-precision geodetic measurements and providing the ability of approximation with the required accuracy of the program trajectory of the unmanned vehicle by a set of orthodromic trajectory intervals, which have an analytical relationship of the spatial coordinates of the object. This, in turn, ensures high positioning accuracy and a sharp reduction in computing costs. In general, the fusion of digital path model information and robust stochastic filtering algorithms for processing noisy satellite measurements has ensured both the stability of the process of estimating the current coordinates of an unmanned vehicle and a sharp reduction in computational costs compared with known methods of processing satellite measurement. The efficiency of the proposed method is shown by a numerical example.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>беспилотный объект</kwd><kwd>пространственные координаты</kwd><kwd>ортодромическая траектория</kwd><kwd>доплеровские измерения</kwd><kwd>робастная нелинейная фильтрация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>unmanned vehicle</kwd><kwd>spatial coordinates</kwd><kwd>orthodromic trajectory</kwd><kwd>Doppler measurements</kwd><kwd>robust nonlinear filtration</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was carried out within the framework of State Assignment No. 1023080200012-3-2.3.4</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">Bhatti J., Humphreys T. 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