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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Modern Transportation Systems and Technologies</journal-id><journal-title-group><journal-title xml:lang="en">Modern Transportation Systems and Technologies</journal-title><trans-title-group xml:lang="ru"><trans-title>Инновационные транспортные системы и технологии</trans-title></trans-title-group></journal-title-group><issn publication-format="electronic">2782-3733</issn><publisher><publisher-name xml:lang="en">Eco-Vector</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">703025</article-id><article-id pub-id-type="doi">10.17816/transsyst703025</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Original studies</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Оригинальные статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Adaptive STSMO with fuzzy logic for sensorless control of permanent magnet synchronous motors</article-title><trans-title-group xml:lang="ru"><trans-title>Адаптивный супер-скручивающий наблюдатель скользящего режима с нечеткой логикой для бездатчикового управления синхронным двигателем с постоянными магнитами</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9328-0835</contrib-id><contrib-id contrib-id-type="spin">1558-5811</contrib-id><name-alternatives><name xml:lang="en"><surname>Titova</surname><given-names>Tamila S.</given-names></name><name xml:lang="ru"><surname>Титова</surname><given-names>Тамила Семеновна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Dr. Sci. (Engineering), Professor</p></bio><bio xml:lang="ru"><p>д-р техн. наук, профессор</p></bio><email>titova@pgups.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0003-4326-4479</contrib-id><name-alternatives><name xml:lang="en"><surname>Ren</surname><given-names>Zetian</given-names></name><name xml:lang="ru"><surname>Жэнь</surname><given-names>Цзэтянь</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Master’s Degree Student</p></bio><bio xml:lang="ru"><p>магистрант</p></bio><email>2732193903@qq.com</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University</institution></aff><aff><institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2026-07-06" publication-format="electronic"><day>06</day><month>07</month><year>2026</year></pub-date><volume>12</volume><issue>2</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>215</fpage><lpage>230</lpage><history><date date-type="received" iso-8601-date="2026-02-19"><day>19</day><month>02</month><year>2026</year></date><date date-type="accepted" iso-8601-date="2026-05-23"><day>23</day><month>05</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2026, Titova T.S., Ren Z.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2026, Титова Т.С., Жэнь Ц.</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="en">Titova T.S., Ren Z.</copyright-holder><copyright-holder xml:lang="ru">Титова Т.С., Жэнь Ц.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://transsyst.ru/transj/article/view/703025">https://transsyst.ru/transj/article/view/703025</self-uri><abstract xml:lang="en"><p><bold>Aim:</bold> This article presents an adaptive STSMO (Super-Twisting Sliding Mode Observer) algorithm for a permanent magnet synchronous motor (PMSM) control system, developed to eliminate key drawbacks of conventional approaches: chattering, low observation accuracy, and insufficient robustness. To mitigate the high-frequency chattering caused by the sign function in the sliding mode observer, an adaptive back-EMF filter is proposed. To regulate the influence of the sliding mode gain coefficient on stability in the STSMO algorithm, where the threshold function is difficult to obtain, fuzzy logic control is applied. Based on this, a sensorless control strategy for the PMSM has been developed.</p> <p><bold>Methods: </bold>Mathematical and simulation modeling were performed in the MATLAB environment.</p> <p><bold>Results:</bold> Simulation in MATLAB confirms that the proposed scheme not only ensures high control accuracy but also effectively suppresses the oscillatory effect.</p> <p><bold>Conclusion:</bold> The adaptive STSMO algorithm–by directly improving observation accuracy–ensures more precise functioning of the automatic control system.</p></abstract><trans-abstract xml:lang="ru"><p><bold>Цель.</bold> В данной статье представлен адаптивный алгоритм STSMO (Super-Twisting Sliding Mode Observer) для системы управления синхронным двигателем с постоянными магнитами (СДПМ/PMSM), разработанный для устранения ключевых недостатков традиционных подходов: чаттеринг, низкую точность наблюдения и недостаточную робастность. В качестве решения проблемы высокочастотного чаттеринга от знаковой функции наблюдателя скользящего режима предлагается адаптивный фильтр противо-ЭДС. Для регулирования влияния коэффициента усиления скользящего режима на устойчивость в STSMO алгоритме, где получение пороговой функции сопряжено с трудностями, применяется нечетко-логическое управление. На его основе разработана бездатчиковая стратегия управления для синхронного двигателя с постоянными магнитами.</p> <p><bold>Методы. </bold>Математическое и имитационное моделирование в среде MATLAB.</p> <p><bold>Результаты. </bold>Моделирование в MATLAB подтверждает, что предложенная схема не только обеспечивает высокую точность управления, но и эффективно подавляет колебательный эффект.</p> <p><bold>Заключение. </bold>Адаптивный алгоритм STSMO – прямое повышение точности наблюдения обеспечивает более точное функционирование системы автоматического управления.</p></trans-abstract><kwd-group xml:lang="en"><kwd>fuzzy logic control</kwd><kwd>sliding mode control</kwd><kwd>STSMO</kwd><kwd>permanent magnet synchronous motor</kwd><kwd>adaptive EMF</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>нечетко-логическое управление</kwd><kwd>управление скользящим режимом</kwd><kwd>STSMO</kwd><kwd>синхронный двигатель с постоянными магнитами</kwd><kwd>адаптивная электродвижущая сила</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Song C, Liu DJ, Ren LT, et al. 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