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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.22.451-458</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-1043</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>Оценка переменных состояния математической модели конвертора Чука с частично неизвестными параметрами</article-title><trans-title-group xml:lang="en"><trans-title>Estimation of State Variables in the Ćuk Converter Mathematical Model with Partially Unknown Parameters</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>Бобцов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bobtsov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р техн. наук, проф.</p><p>г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Dr. Sci., Professor</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">bobtsov@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>Ортега</surname><given-names>Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Ortega</surname><given-names>R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р техн. наук, проф.</p></bio><bio xml:lang="en"><p>México</p></bio><email xlink:type="simple">romeo.ortega@itam.mx</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>Николаев</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nikolaev</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук, доц.</p><p>г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Saint-Petersburg</p></bio><email xlink:type="simple">nikona@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>Слита</surname><given-names>О. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Slita</surname><given-names>O. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук, доц.</p><p>г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Saint-Petersburg</p></bio><email xlink:type="simple">o-slita@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>Козачёк</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kozachek</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>магистрант</p><p>г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Saint-Petersburg</p></bio><email xlink:type="simple">oakozachek@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>Ван</surname><given-names>Ч.</given-names></name><name name-style="western" xml:lang="en"><surname>Wang</surname><given-names>C.</given-names></name></name-alternatives><bio xml:lang="ru"><p>бакалавр</p><p>г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Saint-Petersburg</p></bio><email xlink:type="simple">2459020885@qq.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><aff xml:lang="en" id="aff-2"><institution>Instituto Tecnológico Autónomo de México</institution><country>Mexico</country></aff><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>02</day><month>09</month><year>2021</year></pub-date><volume>22</volume><issue>9</issue><fpage>451</fpage><lpage>458</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2021</copyright-statement><copyright-year>2021</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/1043">https://mech.novtex.ru/jour/article/view/1043</self-uri><abstract><p>Рассматривается задача синтеза наблюдателя переменных состояния для математической модели импульсного преобразователя напряжения постоянного тока, построенного по схеме Чука. Импульсные преобразователи являются одним из основных компонентов большинства современных электротехнических устройств, и предложенная Слободаном Чуком схема в 70-е годы двадцатого столетия до сих пор является востребованной и актуальной. Традиционно в качестве алгоритма управления преобразователями мощности используют ПИ (пропорционально-интегральные) регуляторы или пропорционально-интегральный адаптивный алгоритм управления (PI-PBC), базирующийся на методах пассификации и превосходящий стандартные ПИ регуляторы по точности. Однако для построения PI-PBC-регулятора требуется знать весь вектор переменных состояния преобразователя, и более того, все его параметры должны быть точно известны. К сожалению, на практике такие допущения не выполняются, поскольку возможен параметрический дрейф, а измерения состояния преобразователя требуют дополнительной сенсорики, что в ряде случаев себя не оправдывает. Таким образом, возникает необходимость в разработке дополнительных наблюдателей или устройств оценки, которые позволяют получать данные обо всех переменных преобразователя, а также его параметрах.</p><p>В данной статье предлагается новый подход к синтезу наблюдателя переменных состояния преобразователя Чука, базирующийся на методе GPEBO (обобщенный наблюдатель, основанный на оценке параметров). Задача решена в предположении, что измерению доступен только выходной сигнал, а именно, выходное напряжение преобразователя, но часть параметров математической модели преобразователя предполагаются неизвестными. Важным аспектом синтеза наблюдателя является разработка алгоритма оценки неизвестных параметров и вектора состояния математической модели, обеспечивающего сходимость за конечное время. Сходимость за конечное время крайне важна при синтезе наблюдателей, поскольку переходные процессы в импульсных преобразователях происходят очень быстро.</p></abstract><trans-abstract xml:lang="en"><p>In this paper the solution was proposed for the state variables estimation problem in the mathematical model of the DC switch-mode power converter built according to the Ćuk scheme. Pulse converters are one of the main components of most modern electrical devices and the circuit proposed by Slobodan Ćuk in the 70s of the 20th century is still relevant and demanded. Traditionally, PI (proportional-integral) controllers or proportional-integral adaptive control algorithm (PI-PBC), based on passification methods and superior to standard PI controllers in accuracy, are used as the control algorithm for power converters. However, you need to know the entire vector of the state variables of the converter to build a PI-PBC controller, and moreover, all its parameters must be accurately known. Unfortunately, in practice, such assumptions are not fulfilled, since parametric drifting is possible, and measurements of the converter’s state require additional sensors, which in some cases does not justify itself. Thus, there is a need to develop additional observers or estimators that allow obtaining data on all variables of the converter, as well as its parameters. The solution is based on the GPEBO method (generalized parameter estimation-based observers). The problem was solved under assumption that only the output signal (the output voltage of the converter) is measurable and some of the mathematical model parameters are unknown. An important aspect of the observer design is the development of an algorithm for unknown parameters and the state vector of a mathematical model estimation that ensures convergence in a finite time. Finite-time convergence is extremely important when designing observers since transients in pulse converters occur very quickly.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>импульсный преобразователь</kwd><kwd>наблюдатель</kwd><kwd>оценка за конечное время</kwd><kwd>идентификация параметров</kwd><kwd>линейная система с переменными параметрами</kwd></kwd-group><kwd-group xml:lang="en"><kwd>switch-mode converter</kwd><kwd>observer</kwd><kwd>finite-time estimation</kwd><kwd>parameters identification</kwd><kwd>linear system with variable parameters</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Статья подготовлена при финансовой поддержке Министерства науки и высшего образования Российской Федерации, грант 2019-0898.</funding-statement><funding-statement xml:lang="en">This paper is partially supported by the Ministry of Science and Higher Education of Russian Federation, passport of goszadanie no. 2019-0898.</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">Cuk S., Middlebrook R. 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