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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Proceedings of Petersburg Transport University</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Proceedings of Petersburg Transport University</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Известия Петербургского университета путей сообщения/Proceedings of Petersburg Transport University</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">1815-588X</issn>
   <issn publication-format="online">2658-6851</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">6ac04db4f4b844fa8a62f7a1</article-id>
   <article-id pub-id-type="doi">10.20295/1815-588X-2026-3-596-603</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Проблематика транспортных систем</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>PROBLEMATIC OF TRANSPORT SYSTEM</subject>
    </subj-group>
    <subj-group>
     <subject>Проблематика транспортных систем</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Study of Direct Neural Control of an Induction Motor Trained in a Digital Twin</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Исследование особенностей нейроуправления асинхронным двигателем с обучением в цифровом двойнике</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Марикин</surname>
       <given-names>Александр Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Marikin</surname>
       <given-names>Aleksandr Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>marikin_s@mail.ru</email>
     <bio xml:lang="ru">
      <p>доктор технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Евстафьев</surname>
       <given-names>Андрей Михайлович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Evstaf'ev</surname>
       <given-names>Andrey Mihaylovich</given-names>
      </name>
     </name-alternatives>
     <email>elt@pgups.ru</email>
     <bio xml:lang="ru">
      <p>доктор технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Жемчугов</surname>
       <given-names>Валерий Григорьевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Zhemchugov</surname>
       <given-names>Valeriy Grigor'evich</given-names>
      </name>
     </name-alternatives>
     <email>zhem@mail.ru</email>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Онофрийчук</surname>
       <given-names>Андрей Дмитриевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Onofriychuk</surname>
       <given-names>Andrey Dmitrievich</given-names>
      </name>
     </name-alternatives>
     <email>11lisov11@gmail.ru</email>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city xml:lang="ru">Санкт-Петербург</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I St. Petersburg State University of Railway Engineering</institution>
     <city xml:lang="en">St. Petersburg</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University</institution>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city xml:lang="ru">Санкт-Петербург</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I Petersburg State Transport University</institution>
     <city xml:lang="en">Saint Petersburg</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I,</institution>
     <city xml:lang="ru">Санкт-Петербург</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I Petersburg State Transport University</institution>
     <city xml:lang="en">Saint Petersburg</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2026-10-06T23:09:03+00:00">
    <day>06</day>
    <month>10</month>
    <year>2026</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-10-06T23:09:03+00:00">
    <day>06</day>
    <month>10</month>
    <year>2026</year>
   </pub-date>
   <volume>23</volume>
   <issue>3</issue>
   <fpage>596</fpage>
   <lpage>603</lpage>
   <history>
    <date date-type="received" iso-8601-date="2026-05-12T21:00:00+00:00">
     <day>12</day>
     <month>05</month>
     <year>2026</year>
    </date>
    <date date-type="accepted" iso-8601-date="2026-07-06T21:00:00+00:00">
     <day>06</day>
     <month>07</month>
     <year>2026</year>
    </date>
   </history>
   <permissions>
    <copyright-statement xml:lang="ru">© 2026 Марикин А.Н., Евстафьев А.М., Жемчугов В.Г., Онофрийчук А.Д.</copyright-statement>
    <copyright-statement xml:lang="en">© 2026 Marikin A.N., Evstaf'ev A.M., Zhemchugov V.G., Onofriychuk A.D.</copyright-statement>
    <copyright-year>2026</copyright-year>
    <copyright-holder xml:lang="ru">Марикин Александр Николаевич, Евстафьев Андрей Михайлович, Жемчугов Валерий Григорьевич, Онофрийчук Андрей Дмитриевич</copyright-holder>
    <copyright-holder xml:lang="en">Marikin Aleksandr Nikolaevich, Evstaf'ev Andrey Mihaylovich, Zhemchugov Valeriy Grigor'evich, Onofriychuk Andrey Dmitrievich</copyright-holder>
   </permissions>
   <self-uri xlink:href="https://itt-pgups.ru/en/nauka/publications/6ac04db4f4b844fa8a62f7a1/view">https://itt-pgups.ru/en/nauka/publications/6ac04db4f4b844fa8a62f7a1/view</self-uri>
   <abstract xml:lang="ru">
    <p>Цель: исследование возможности прямого нейросетевого управления асинхронным электроприводом без предварительного задания полной математической модели двигателя и оценка влияния предлагаемого способа управления на потребляемую мощность при сохранении качества регулирования скорости на уровне, сопоставимом с классическим FOC. Методы: исследование выполнено на модели системы «инвертор — асинхронный двигатель — регулятор» в среде цифрового двойника. RL-агент обучали формировать управляющие воздействия в d-q-координатах, после чего результаты сопоставляли с FOC по среднеквадратичному току статора, активной мощности и ошибке регулирования скорости. Практическая значимость: полученная политика может быть перенесена на встроенную платформу управления электроприводом. Такой подход уменьшает зависимость качества регулирования от точности параметрической идентификации двигателя и поэтому представляет интерес для разработки энергоэффективных приводных систем.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Objective: to assess the feasibility of direct neural control of an induction motor drive without a fully specified mathematical model of the motor and to determine whether this approach can reduce active power consumption while maintaining speed-control quality comparable to classical field-oriented control. Methods: the study was carried out on a digital-twin model of the inverter-induction motor-controller system. A reinforcement learning agent was trained to generate control actions in the d-q reference frame, and its performance was compared with FOC using the stator RMS current, active power, and speed-control error as evaluation criteria. Practical significance: the trained policy can potentially be transferred to an embedded drive-control platform. This reduces the dependence of control quality on accurate parameter identification and makes the approach relevant for energy-efficient electric drives.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>асинхронный электродвигатель</kwd>
    <kwd>электропривод</kwd>
    <kwd>обучение с подкреплением</kwd>
    <kwd>цифровой двойник</kwd>
    <kwd>нейросетевое управление</kwd>
    <kwd>векторное управление</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>electric drive</kwd>
    <kwd>reinforcement learning</kwd>
    <kwd>digital twin</kwd>
    <kwd>neural network control</kwd>
    <kwd>field-oriented control</kwd>
   </kwd-group>
  </article-meta>
 </front>
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  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kazemikia D. Reinforcement Learning for Motor Control: a Comprehensive Review // arXiv preprint. 2024. URL: https://arxiv.org/abs/2412.17936 (дата</mixed-citation>
     <mixed-citation xml:lang="en">Kazemikia D. Reinforcement Learning for Motor Control: a Comprehensive Review // arXiv preprint. 2024. URL: https://arxiv.org/abs/2412.17936 (data</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Field-Oriented of Reinforcement Learning // MathWorks Motor Control Blockset Example. URL: https://www.mathworks. com/help/mcb/gs/foc-of-pmsm-using-reinforcement- learning.html (дата обращения: 15.12.2025).</mixed-citation>
     <mixed-citation xml:lang="en">Field-Oriented of Reinforcement Learning // MathWorks Motor Control Blockset Example. URL: https://www.mathworks. com/help/mcb/gs/focofmsmsing-reinforcement-learning.html (data obrascheniya: 15.12.2025).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">AI-Based Field-Oriented Control for Induction Motors / E. Benmalek [et al.] // IAPGOS. 2024. Vol. 14, № 4. Pp. 75–81. URL: https://doi.org/10.35784/ iapgos.6253 (дата обращения: 15.12.2025).</mixed-citation>
     <mixed-citation xml:lang="en">AI-Based Field-Oriented Control for Induction Motors / E. Benmalek [et al.] // IAPGOS. 2024. Vol. 14, № 4. Pp. 75–81. URL: https://doi.org/10.35784/ iapgos.6253 (data obrascheniya: 15.12.2025).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Enhanced Induction Motor Control Using Deep Reinforcement Learning and PWM with DTC / P. Saurabh [et al.] // Electric Power Components and Systems. 2023. Vol. 51, no. 12. Pp. 1083–1095. URL: https://doi.org/10.1080/15325008.2023.2274357 (дата</mixed-citation>
     <mixed-citation xml:lang="en">Enhanced Induction Motor Control Using Deep Reinforcement Learning and PWM with DTC / P. Saurabh [et al.] // Electric Power Components and Systems. 2023. Vol. 51, no. 12. Pp. 1083–1095. URL: https://doi.org/10.1080/15325008.2023.2274357 (data</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lenz I., Knepper R., Saxena A. DeepMPC: Control // Proc. of Robotics: Science and Systems. 2015. URL: https://doi.org/10.15607/RSS.2015.XI.012</mixed-citation>
     <mixed-citation xml:lang="en">Lenz I., Knepper R., Saxena A. DeepMPC: Control // Proc. of Robotics: Science and Systems. 2015. URL: https://doi.org/10.15607/RSS.2015.XI.012</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sensorless Speed Control of Induction Motor Drives Using Reinforcement Learning and Self-Tuning Simplified Fuzzy Logic Controller / Q. Abdullah [et al.] // IEEE Access. 2024. Vol. 12. Pp. 136485–136501. URL: https://doi.org/10.1109/ACCESS.2024.3435529 (дата</mixed-citation>
     <mixed-citation xml:lang="en">Sensorless Speed Control of Induction Motor Drives Using Reinforcement Learning and Self-Tuning Simplified Fuzzy Logic Controller / Q. Abdullah [et al.] // IEEE Access. 2024. Vol. 12. Pp. 136485–136501. URL: https://doi.org/10.1109/ACCESS.2024.3435529 (data</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Eschmann J., Albani D., Loianno G. RLtools: A Fast, Portable Deep Reinforcement Learning Library for Continuous Control // Journal of Machine Learning Research. 2024. Vol. 25, no. 301. Pp. 1–19. URL: https://www.jmlr.org/papers/v25/24-0248.html (дата</mixed-citation>
     <mixed-citation xml:lang="en">Eschmann J., Albani D., Loianno G. RLtools: A Fast, Portable Deep Reinforcement Learning Library for Continuous Control // Journal of Machine Learning Research. 2024. Vol. 25, no. 301. Pp. 1–19. URL: https://www.jmlr.org/papers/v25/24-0248.html (data</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">TinyRL: Towards Reinforcement Learning on Tiny Embedded Devices / T. Szydlo [et al.] // Proc. of the 31st ACM Int. Conf. on Information and Knowledge Management (CIKM). 2022. Pp. 4985–4988. URL: https://doi.org/10.1145/3511808.3557206 (дата обра- щения: 15.12.2025).</mixed-citation>
     <mixed-citation xml:lang="en">TinyRL: Towards Reinforcement Learning on Tiny Embedded Devices / T. Szydlo [et al.] // Proc. of the 31st ACM Int. Conf. on Information and Knowledge Management (CIKM). 2022. Pp. 4985–4988. URL: https://doi.org/10.1145/3511808.3557206 (data obrascheniya: 15.12.2025).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Enhancing Field-Oriented Control of Electric Drives with Tiny Neural Network Optimized for Microcontrollers / M. J. Mouk Elele [et al.] // arXiv preprint. 2025. URL: https://arxiv.org/abs/2502.00532</mixed-citation>
     <mixed-citation xml:lang="en">Enhancing Field-Oriented Control of Electric Drives with Tiny Neural Network Optimized for Microcontrollers / M. J. Mouk Elele [et al.] // arXiv preprint. 2025. URL: https://arxiv.org/abs/2502.00532</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">A Survey of Reinforcement Learning-Driven Knowledge Distillation: Techniques, Challenges, and Applications / Z. Xu [et al.] // Preprints. 2025. URL: https://doi.org/10.20944/preprints202503.0903.v2</mixed-citation>
     <mixed-citation xml:lang="en">A Survey of Reinforcement Learning-Driven Knowledge Distillation: Techniques, Challenges, and Applications / Z. Xu [et al.] // Preprints. 2025. URL: https://doi.org/10.20944/preprints202503.0903.v2</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
