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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">sapi</journal-id><journal-title-group><journal-title xml:lang="ru">Системный анализ и прикладная информатика</journal-title><trans-title-group xml:lang="en"><trans-title>«System analysis and applied information science»</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2309-4923</issn><issn pub-type="epub">2414-0481</issn><publisher><publisher-name>Belarusian National Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2309-4923-2024-4-47-52</article-id><article-id custom-type="elpub" pub-id-type="custom">sapi-706</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>Управление техническими объектами</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Management of technical objects</subject></subj-group></article-categories><title-group><article-title>Поведение мобильного робота с симметричной структурой колес меканум при перемещении по криволинейной траектории</article-title><trans-title-group xml:lang="en"><trans-title>Behavior of a mobile robot with symmetrical structure of mecanium wheels when movement along a curvolinear trajectory</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>Павлюковец</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Pauliukavets</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Павлюковец Сергей Анатольевич, кандидат технических наук, доцент, доцент кафедры «Электропривод и автоматизация промышленных установок и технологических комплексов» Минск</p></bio><bio xml:lang="en"><p>Siarhei A. Pauliukavets is a PhD, associate professor, head of the Electric drive and automation of industrial installations and technological complexes department&#13;
Minsk</p></bio><email xlink:type="simple">s.pauliukavets@gmail.com</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>Вельченко</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Velchenko</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Вельченко Анна Александровна, кандидат технических наук, доцент, доцент кафедры «Электропривод и автоматизация промышленных установок и технологических комплексов» Минск</p></bio><bio xml:lang="en"><p>Anna A. Velchenko is a PhD, associate professor, associate professor the Electric drive and automation of industrial installations and technological complexes department&#13;
Minsk</p></bio><email xlink:type="simple">anna.velchenko@gmail.com</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>Радкевич</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Radkevich</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Радкевич Артём Андреевич, магистрант кафедры «Электропривод и автоматизация промышленных установок и технологических комплексов» Минск</p></bio><bio xml:lang="en"><p>Artsiom A. Radkevich is a master student of the Electric drive and automation of industrial installations and technological complexes department&#13;
Minsk</p></bio><email xlink:type="simple">artsiom.a.radkevich@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>30</day><month>12</month><year>2024</year></pub-date><volume>0</volume><issue>4</issue><fpage>47</fpage><lpage>52</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Павлюковец С.А., Вельченко А.А., Радкевич А.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Павлюковец С.А., Вельченко А.А., Радкевич А.А.</copyright-holder><copyright-holder xml:lang="en">Pauliukavets S.A., Velchenko A.A., Radkevich A.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://sapi.bntu.by/jour/article/view/706">https://sapi.bntu.by/jour/article/view/706</self-uri><abstract><p>Встатьепроведёнсравнительныйанализдвухвариантовсимметричногоразмещениявсенаправленных колёс типа меканум в мобильном роботе. Рассмотрено моделирование поведения мобильного робота при двух симметричных вариантах расположения колёс меканум по криволинейным траекториям в среде MATLAB Simulink. Получены графики траекторий центра робота в осях X–Y при двух вариантах симметричных конфигураций меканум-колёс при перемещении по траекториям лемнискаты, эллипса, гипотрохоиды и трека. Получены зависимости ошибок положения робота в осях X–Y от времени для двух вариантов топологий колёс при перемещении по четырём траекториям. Проанализированы зависимости отклонения угла поворота корпуса робота от времени для двух вариантов топологий колёс при перемещении по четырём криволинейным траекториям. Проведённый сравнительный анализ позволил дать рекомендации о перемещение вдоль эллипса и лемнискаты, которые характеризуется меньшими ошибками положения и отклонением угла поворота по сравнению с более сложными кривыми.</p></abstract><trans-abstract xml:lang="en"><p>The article presents a comparative analysis of two variants of symmetrical placement of omnidirectional mecanum wheels in a mobile robot. The modeling of the mobile robot behavior with two symmetrical variants of mecanum wheel arrangement along curvilinear trajectories in the MATLAB Simulink environment is considered. Graphs of the robot center trajectories in the X–Y axes are obtained for two variants of symmetrical mecanum wheel configurations when moving along the trajectories of a lemniscate, ellipse, hypotrochoid, and track. Dependences of the robot position errors in the X–Y axes on time are obtained for two variants of wheel topologies when moving along four trajectories. Dependences of the robot body rotation angle deviation on time are analyzed for two variants of wheel topologies when moving along four curvilinear trajectories. The comparative analysis made it possible to give recommendations on movement along the ellipse and lemniscate, which are characterized by smaller position errors and deviations in the rotation angle compared to more complex curves.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>мобильный робот</kwd><kwd>меканум колесо</kwd><kwd>симметричная структура</kwd><kwd>матрица Якоби</kwd><kwd>движение по траектории</kwd><kwd>эллипс</kwd><kwd>лемниската</kwd><kwd>эпитрохоида</kwd><kwd>трек</kwd><kwd>ошибка позиционирования</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mobile robot</kwd><kwd>mecanum wheel</kwd><kwd>symmetrical structure</kwd><kwd>Jacobian matrix</kwd><kwd>motion along a trajectory</kwd><kwd>ellipse</kwd><kwd>lemniscate</kwd><kwd>epitrochoid</kwd><kwd>track</kwd><kwd>positioning error</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена за счет гранта Министерства образования Республики Беларусь (рег. № 20240802).</funding-statement><funding-statement xml:lang="en">The work was supported with a grant of the Ministry of Education of the Republic of Belarus (registration no. 20240802).</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">Mishra S., Sharma M., Mohan S. 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