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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">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">51215</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2026-27-2-226-236</article-id><article-id pub-id-type="edn">LAGIXN</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>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">Comparison of the Model and the Experiment of Synchronizing Two Shafts with a PID Controller Using Incremental Encoders and Frequency Converters</article-title><trans-title-group xml:lang="ru"><trans-title>Сравнение модели и эксперимента синхронизации двух валов ПИД-регулятором с инкрементальными энкодерами и преобразователями частоты</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0004-4813-6051</contrib-id><name-alternatives><name xml:lang="en"><surname>Kukharskii</surname><given-names>Mikhail I.</given-names></name><name xml:lang="ru"><surname>Кухарский</surname><given-names>Михаил Игоревич</given-names></name></name-alternatives><bio xml:lang="en"><p>Master’s student of the Department of Mechanics and Control Processes, Academy of Engineering</p></bio><bio xml:lang="ru"><p>магистрант кафедры механики и процессов управления, инженерная академия</p></bio><email>mkukharskii@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-2900-6767</contrib-id><contrib-id contrib-id-type="spin">4134-6061</contrib-id><name-alternatives><name xml:lang="en"><surname>Zhuravlev</surname><given-names>Anton O.</given-names></name><name xml:lang="ru"><surname>Журавлёв</surname><given-names>Антон Олегович</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD student of the Department of Mechanics and Control Processes, Academy of Engineering</p></bio><bio xml:lang="ru"><p>аспирант кафедры механики и процессов управления, инженерная академия</p></bio><email>1142220875@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0359-0897</contrib-id><contrib-id contrib-id-type="spin">8247-7310</contrib-id><name-alternatives><name xml:lang="en"><surname>Andrikov</surname><given-names>Denis A.</given-names></name><name xml:lang="ru"><surname>Андриков</surname><given-names>Денис Анатольевич</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD in Technical Sciences, Associate Professor of the Department of Mechanics and Control Processes, Academy of Engineering, RUDN University; Associate Professor of the Department of Automatic Control Systems, Bauman Moscow State Technical University</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры механики и процессов управления, инженерная академия, Российский университет дружбы народов; доцент кафедры автоматических систем управления, Московский государственный технический университет им. Н.Э. Баумана</p></bio><email>andrikovdenis@mail.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">RUDN University</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Bauman Moscow State Technical University</institution></aff><aff><institution xml:lang="ru">Московский государственный университет им. Н.Э. Баумана</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2026-07-08" publication-format="electronic"><day>08</day><month>07</month><year>2026</year></pub-date><volume>27</volume><issue>2</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>226</fpage><lpage>236</lpage><history><date date-type="received" iso-8601-date="2026-07-10"><day>10</day><month>07</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2026, Kukharskii M.I., Zhuravlev A.O., Andrikov D.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2026, Кухарский М.И., Журавлёв А.О., Андриков Д.А.</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="en">Kukharskii M.I., Zhuravlev A.O., Andrikov D.A.</copyright-holder><copyright-holder xml:lang="ru">Кухарский М.И., Журавлёв А.О., Андриков Д.А.</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-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/engineering-researches/article/view/51215">https://journals.rudn.ru/engineering-researches/article/view/51215</self-uri><abstract xml:lang="en"><p>The precise synchronization of the main drive shaft and the driven shaft of a screw conveyor is a critical industrial task, upon which the overall operability of the screw conveyor depends, as well as the maintenance of the drive shafts, sprockets, and belt in a functional state. This study presents a comparative analysis of the experimental application and simulation results of a PID controller for synchronizing the rotation of two shafts using incremental encoders and frequency converters. Modern methods of automated control systems are adopted as the methodological basis of the research, including the adjustment of parameters for frequency converters and PID controllers, and the digital processing of encoder signals. The objective of the study is to compare the accuracy and dynamic characteristics obtained during the simulation phase with the results obtained from the real system. The research task is to develop a mathematical model of the system, tune optimal PID controller parameters for both the mathematical model and the real system, and analyze the resulting discrepancies between the data, identifying their causes. As a result of the study, a mathematical model of the synchronization system was developed, optimal PID controller parameters were determined, the main factors causing discrepancies between simulation and the real system operation were analyzed, and recommendations were formulated to improve its accuracy.</p></abstract><trans-abstract xml:lang="ru"><p>Точная синхронизация вала основного двигателя и вала приводного языка спирального транспортера является важной задачей в промышленности, где от нее зависит работоспособность спирального транспортера в целом, а также сохранение приводных валов, звезд и ленты в работоспособном состоянии. Представлен сравнительный анализ экспериментального применения и результатов моделирования ПИД-регулятора для синхронизации вращения двух валов с использованием инкрементальных энкодеров и управляемых преобразователями частоты. В качестве методологической базы исследования использованы современные методы управления автоматизированных систем управления, включая настройку параметров преобразователей частоты и ПИД-регулятора и цифровую обработку сигналов энкодеров. Цель исследования - провести сопоставление точности и динамических характеристик, полученных на этапе моделирования, с результатами, полученными на реальной системе. Задача исследования - разработать математическую модель системы, настроить оптимальные параметры ПИД-регулятора как для математической модели, так и для реальной системы и изучить полученные расхождения между данными, выявив их причины. По итогам исследования разработана математическая модель системы синхронизации, определены оптимальные параметры ПИД-регулятора, проанализированы основные факторы, вызывающие расхождения между симуляцией и реальной работой системы, и сформулированы рекомендации для повышения ее точности.</p></trans-abstract><kwd-group xml:lang="en"><kwd>position feedback</kwd><kwd>variable-frequency drive</kwd><kwd>simulation modeling</kwd><kwd>transient process</kwd><kwd>automated control systems</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>обратная связь по положению</kwd><kwd>частотно-регулируемый привод</kwd><kwd>имитационное моделирование</kwd><kwd>переходный процесс</kwd><kwd>автоматизированные системы управления</kwd></kwd-group><funding-group/></article-meta><fn-group/></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Pazdnikova AA. Methods of manual PID controller tuning. Day of Science; 2025 Mat 13; Blagoveshchensk. 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