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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.20.515-523</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-685</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>СИСТЕМНЫЙ АНАЛИЗ, УПРАВЛЕНИЕ И ОБРАБОТКА ИНФОРМАЦИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SYSTEM ANALYSIS, CONTROL AND INFORMATION PROCESSING</subject></subj-group></article-categories><title-group><article-title>Конструкция адаптивного наблюдателя для выявления и моделирования ошибок датчика</article-title><trans-title-group xml:lang="en"><trans-title>Adaptive Observer Design for Sensor Fault Detection and Reconstruction</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>Бедиуи</surname><given-names>Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Bedioui</surname><given-names>N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>доц.</p><p>г. Тунис, Тунис</p></bio><bio xml:lang="en"><p>Associate Professor</p><p>Tunis</p></bio><email xlink:type="simple">bedioui_neila_enit@yahoo.fr</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>Уимли</surname><given-names>Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Houimli</surname><given-names>R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD</p><p>г. Тунис, Тунис</p></bio><bio xml:lang="en"><p>PhD</p><p>Tunis</p></bio><email xlink:type="simple">radhia.houimli@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бесбес</surname><given-names>М.</given-names></name><name name-style="western" xml:lang="en"><surname>Besbes</surname><given-names>M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>проф.</p><p>г. Тунис, Тунис</p></bio><bio xml:lang="en"><p>Professor</p><p>Tunis</p></bio><email xlink:type="simple">mongi.besbes@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Лаборатория робототехники, информатики и сложных систем, Национальная инженерная школа Туниса, Университет Тунис-Эль-Манар;&#13;
Институт информационно-коммуникационных технологий, Университет Карфагена</institution><country>Тунис</country></aff><aff xml:lang="en"><institution>Robotics, Informatics and Complex Systems (RISC), ENIT, University of Tunis El Manar;&#13;
Higher Institute of Information and Communication Technol ogies, University of Carthage</institution><country>Tunisia</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт информационно-коммуникационных технологий, Университет Карфагена</institution><country>Тунис</country></aff><aff xml:lang="en"><institution>Higher Institute of Information and Communication Technol ogies, University of Carthage</institution><country>Tunisia</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>05</day><month>09</month><year>2019</year></pub-date><volume>20</volume><issue>9</issue><fpage>515</fpage><lpage>523</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2019</copyright-statement><copyright-year>2019</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/685">https://mech.novtex.ru/jour/article/view/685</self-uri><abstract><p>Представлен новый подход к выявлению ошибок датчиков, их моделированию и оценке состояния. Рассматриваемая система представляет собой линейную политопную систему с изменяющимися параметрами. Основная идея заключается в формировании нового надежного адаптивного наблюдателя в рамках поликвадратического подхода с новым релаксационным множеством. Достаточные условия задаются набором линейных матричных неравенств, которые гарантируют устойчивость системы и асимптотическую сходимость оценки ошибки. Для иллюстрации использования предложенных методов приведен пример моделирования, в котором осуществляется идентификация постоянной и переменной ошибки датчика.</p></abstract><trans-abstract xml:lang="en"><p>A new approach is presented for sensor fault detection reconstruction and state estimation. The system considered is linear polytopic parameter-vary ing (LPV) system. The main idea is the design of a novel robust adaptive observer based on and polyquadratic formulation with a new set of relaxation. Sufficient conditions are given by a set of Linear Matrix Inequalities (LMI) in order to guarantee the stability of the system and the asymptotic convergence of the fault error. A simulation example has been studied to illustrate the proposed methods by detecting constant and variable sensor fault.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>адаптивный наблюдатель</kwd><kwd>выявление ошибок датчика</kwd><kwd>оценка состояния</kwd><kwd>политопная линейная система с изменяющимися параметрами</kwd><kwd>линейные матричные неравенства</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Adaptive Observer</kwd><kwd>Sensor Fault Detection</kwd><kwd>State Estimation</kwd><kwd>Polytopic Linear Parameter-Varying (LPV) System</kwd><kwd>LMI</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">Edwards C. 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