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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 custom-type="elpub" pub-id-type="custom">gyroscopy-576</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>Анализ характеристик федеративного фильтра при комплексировании сигналов РЛС, системы навигации по рельефу местности, GPS и ИНС</article-title><trans-title-group xml:lang="en"><trans-title></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>Майер</surname><given-names>А.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Майер Андреас, дипломированный инженер, аспирант.</p><p> </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>Кизель</surname><given-names>C.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кизель Cтефан, дипломированный инженер, аспирант.</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>Троммер</surname><given-names>Г. Ф.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Троммер Герт Ф., профессор, д.т.н., руководитель института оптимизации, декан факультета электротехники и информационной техники. Действительный член общественного объединения «Академия навигации и управления движением».</p><p>Технологический институт Карлсруэ (Институт оптимизации систем)</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Технологический институт Карлсруэ (Институт оптимизации систем)</institution><country>Germany</country></aff><pub-date pub-type="collection"><year>2011</year></pub-date><pub-date pub-type="epub"><day>20</day><month>03</month><year>2026</year></pub-date><volume>19</volume><issue>3</issue><fpage>12</fpage><lpage>24</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Майер А., Кизель C., Троммер Г., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Майер А., Кизель C., Троммер Г.</copyright-holder><copyright-holder xml:lang="en">Майер А., Кизель C., Троммер Г.</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/576">https://www.gyroscopy.ru/jour/article/view/576</self-uri><abstract><p>Анализируется основанная на использовании федеративного фильтра без перезапуска децентрализованная схема комплексной обработки данных глобальной системы позиционирования (GPS), радиолокатора с синтезированной апертурой (РСА), системы навигации по рельефу местности (НРМ) и инерциальной навигационной системы (ИНС). Представлена простая модификация такого фильтра. Приводятся результаты моделирования, иллюстрирующие эффективность предложенного алгоритма. Статья по докладу на XVII Санкт-Петербургской международной конференции по интегрированным навигационным системам.</p></abstract><trans-abstract xml:lang="en"><p>Decentralized integration of global positioning system (GPS), synthetic aperture radar (SAR), and terrain referenced navigation (TRN) system into an inertial navigation system (INS) is analysed in comparison to the centralized integration method in this paper. Many publications have shown different decentralized integration methods. The main advantage of the decentralized filter architecture is flexibility and modularity. Especially the federated no-reset filter has received considerable attention in literature because of improved fault detection and isolation (FDI) capability, which is an important feature in multi-sensor navigation systems. Fault detection capability of the federated no-reset filter is well-established. How- ever, this filter type combines sensor data in a suboptimal way and a loss of accuracy compared to the centralized Kalman filter is generally observed. Other publications mentioned this loss of accuracy, but did not give the amount of accuracy loss for SAR/TRN/GPS/INS systems.</p><p>In this paper additionally a slight modification of the federated filter is presented. Typically a GPS/INS filter tends to be overoptimistic due to long-term time- correlated atmospheric errors of the GPS pseudo-range measurements. A rather simple modification of the federated filter is given to take into account this overoptimistic behaviour. A covariance correction yields a more reasonable covariance of the GPS/INS local filter and an improved overall position estimation of the federated filter.</p><p> </p></trans-abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Carlson, Neil A., “Federated Filter for Distributed Navigation and Tracking Applications,” Proceedings of the ION 58th Annual Meeting, June 2002, pp. 340-353.</mixed-citation><mixed-citation xml:lang="en">Carlson, Neil A., “Federated Filter for Distributed Navigation and Tracking Applications,” Proceedings of the ION 58th Annual Meeting, June 2002, pp. 340-353.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Carlson, Neil A., “Federated Filter for Fault-Tolerant Integrated Navigation Systems,” IEEE Position Location and Navigation Symposium, December 1988, pp. 110-119.</mixed-citation><mixed-citation xml:lang="en">Carlson, Neil A., “Federated Filter for Fault-Tolerant Integrated Navigation Systems,” IEEE Position Location and Navigation Symposium, December 1988, pp. 110-119.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Lawrence, Paul J. and Berarducci Michael P., “Navigation Sensor, Filter, and Failure Mode Simulation Results Using the Distributed Kalman Filter Simulator (DKFSIM),” IEEE Position Location and Navigation Symposium, April 1996, pp. 697-710.</mixed-citation><mixed-citation xml:lang="en">Lawrence, Paul J. and Berarducci Michael P., “Navigation Sensor, Filter, and Failure Mode Simulation Results Using the Distributed Kalman Filter Simulator (DKFSIM),” IEEE Position Location and Navigation Symposium, April 1996, pp. 697-710.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Lawrence, Paul J. and Berarducci Michael P., “Comparison of Federated and Centralized Kalman Filters with Fault Detection Considerations,” IEEE Position Location and Navigation Symposium, April 1994, pp. 703-710.</mixed-citation><mixed-citation xml:lang="en">Lawrence, Paul J. and Berarducci Michael P., “Comparison of Federated and Centralized Kalman Filters with Fault Detection Considerations,” IEEE Position Location and Navigation Symposium, April 1994, pp. 703-710.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Layne, Jeff R. and Paschall Randall N. “Performance Analysis of an Integrated SAR/GPS/INS Targeting and Navigation System,” Proceedings of the ION 50th Annual Meeting, June 1994.</mixed-citation><mixed-citation xml:lang="en">Layne, Jeff R. and Paschall Randall N. “Performance Analysis of an Integrated SAR/GPS/INS Targeting and Navigation System,” Proceedings of the ION 50th Annual Meeting, June 1994.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Deng, Zi-Li; Gao, Yuan; Mao, Lin; Li, Yun; Hao, Gang. “New approach to information fusion steady-state Kalman filtering,” Automatica 2005, vol. 41, no 10, pp. 1695-1707.</mixed-citation><mixed-citation xml:lang="en">Deng, Zi-Li; Gao, Yuan; Mao, Lin; Li, Yun; Hao, Gang. “New approach to information fusion steady-state Kalman filtering,” Automatica 2005, vol. 41, no 10, pp. 1695-1707.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Metzger, Jürgen; Maier, Andreas and Trommer, Gert F. 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