<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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.21.21-27</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-744</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>Решение задачи аккомодации в нелинейных системах с использованием линейных методов</article-title><trans-title-group xml:lang="en"><trans-title>Solution of Fault Accommodation Problem in Nonlinear Systems by Methods of Linear Algebra</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>Жирабок</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhirabok</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Д-р техн. наук, проф.</p><p>Владивосток</p></bio><bio xml:lang="en"/><email xlink:type="simple">zhirabok@mail.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>Зуев</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Zuev</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Канд. техн. наук, доц.</p><p>Владивосток</p></bio><bio xml:lang="en"/><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бобко</surname><given-names>Е. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Bobko</surname><given-names>E. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ст. преподаватель</p><p>Владивосток</p></bio><bio xml:lang="en"/><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Филатов</surname><given-names>А. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Filatov</surname><given-names>A. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Аспирант</p><p>Владивосток</p></bio><bio xml:lang="en"/><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Дальневосточный федеральный университет<country>Россия</country></aff><aff xml:lang="en">Far Eastern Federal University<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Институт проблем морских технологий ДВО РАН<country>Россия</country></aff><aff xml:lang="en">Far Eastern Federal University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>14</day><month>01</month><year>2020</year></pub-date><volume>21</volume><issue>1</issue><fpage>21</fpage><lpage>27</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2020</copyright-statement><copyright-year>2020</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/744">https://mech.novtex.ru/jour/article/view/744</self-uri><abstract><p>Рассматривается задача аккомодации к дефектам в системах, описываемых нелинейными моделями, с использованием линейных методов. Для решения, основанного на полной развязке от дефектов, используется логико-динамический подход, позволяющий нелинейные системы анализировать линейными методами. Теоретические результаты иллюстрируются примером.</p></abstract><trans-abstract xml:lang="en"><p>Solution of the problem of fault accommodation in nonlinear dynamic systems is related to constructing the control law which provides full decoupling with respect to fault effects. The possibility of this solution is strictly limited by the demand on the system state vector availability (this vector is immediately included into control law description). As a rule, not all components of the state vector are immediately measurable at practice. Also, it is impossible to estimate full state vector for the system with unknown (affected by the faults) dynamics. The purpose of this article is to solve the problem of full decoupling by constructing a compensator that is independent of the fault effects a nd is based on a new control law. A solution is based on so-called logic-dynamic approach using only linear methods to solve the problem for nonlinear systems. The implementation of this method does not require a preliminary estimation of the parameters. It is assumed that fault detection and isolation procedure is performed by known methods. Assume the fault occurred and detected, then a solution of the control problem is performed on the basis of additional system that corresponding in a definite sense to the initial model. To solve the problem of accommodation, an efficient algorithm based on a logical-dynamic approach is presented, as a result of which a compensator is constructed. Additional system does not contain unknown vector that describes defects. As a result, fault accommodation effect is achieved. Theoretical results are demonstrated by illustrative and illustrative example.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нелинейные системы</kwd><kwd>отказоустойчивость</kwd><kwd>аккомодация</kwd><kwd>развязка</kwd><kwd>логико-динамический подход</kwd></kwd-group><kwd-group xml:lang="en"><kwd>nonlinear systems</kwd><kwd>fault tolerance</kwd><kwd>accommodation</kwd><kwd>decoupling</kwd><kwd>logical-dynamic approach</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">Blanke M., Kinnaert M., Lunze J., Staroswiecki M. Diagnosis and fault tolerant control. Berlin: Springer-Verlag, 2003.</mixed-citation><mixed-citation xml:lang="en">Blanke M., Kinnaert M., Lunze J., Staroswiecki M. Diagnosis and fault tolerant control, Berlin, Springer-Verlag, 2003.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Kaldmae A., Kotta U., Shumsky A., Zhirabok A. Measurement feedback disturbance decoupling in discrete-time nonlinear systems // Automatica. 2013. Vol. 49. P. 2887—2891.</mixed-citation><mixed-citation xml:lang="en">Kaldmae A., Kotta U., Shumsky A., Zhirabok A. Measurement feedback disturbance decoupling in discrete-time nonlinear systems, Automatica, 2013, vol. 49, pp. 2887—2891.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Kaldmae A., Kotta U., Jiang B., Shumsky A., Zhirabok A. Faulty plant reconfiguration based on disturbance decoupling methods // Asian Journal of Control. 2016. Vol. 8, N. 3. P. 858—867.</mixed-citation><mixed-citation xml:lang="en">Kaldmae A., Kotta U., Jiang B., Shumsky A., Zhirabok A. Faulty plant reconfiguration based on disturbance decoupling methods, Asian Journal of Control, 2016, vol. 8, no. 3, pp. 858—867.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Жирабок А. Н., Шумский А. Е. Алгебраические методы анализа нелинейных динамических систем. Владивосток: Дальнаука, 2008.</mixed-citation><mixed-citation xml:lang="en">Zhirabok A. N., Shumsky A. Ye. Algebraic methods for analyzing nonlinear dynamic systems, Vladivostok, Dal’nauka, 2008 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Шумский А. Н., Жирабок А. Н. Метод аккомодации нелинейных динамических систем к дефектам // Изв. РАН. Теория и системы управления. 2009. № 4. С. 62—70.</mixed-citation><mixed-citation xml:lang="en">Shumsky A. Ye., Zhirabok A. N. The method of accommodation of nonlinear dynamic systems to defects, Izv. RAN. Teoriya i sistemy upravlenya, 2009, no. 4, pp. 62—70 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Жирабок А. Н., Усольцев С. А. Линейные методы при диагностировании нелинейных систем // Автоматика и телемеханика. 2000. № 7. С. 149—159.</mixed-citation><mixed-citation xml:lang="en">Жирабок А. Н., Усольцев С. А. Linear methods in the diagnosis of nonlinear systems, Avtomatika i telemehanika, 2000, no. 7, pp. 149—159 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Жирабок А. Н., Шумский А. Е., Павлов С. В. Диагностирование линейных динамических систем непараметрическим методом // Автоматика и телемеханика. 2017. № 7. С. 3—21.</mixed-citation><mixed-citation xml:lang="en">Zhirabok A. N., Shumsky A. Ye., Pavlov S. V. Diagnosing linear dynamic systems by nonparametric method, Avtomatika i telemehanika, 2017, no. 7, pp. 3—21 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Бобко Е. Ю., Жирабок А. Н., Шумский А. Е. Методы аккомодации к дефектам в технических системах // Известия РАН. Теория и системы управления. 2016. № 5. С. 58—72.</mixed-citation><mixed-citation xml:lang="en">Bobko E. Yu., Zhirabok A. N., Shumsky A. Ye. The method of fault accommodation in technical systems, Izv. RAN. Teoriya i sistemy upravlenya, 2016, no. 5, pp. 58—72 (in Russian).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
