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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">izvestswsu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1560</issn><issn pub-type="epub">2686-6757</issn><publisher><publisher-name>ЮЗГУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/2223-1560-2022-26-3-63-80</article-id><article-id custom-type="elpub" pub-id-type="custom">izvestswsu-1037</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>Информатика, вычислительная техника и управление</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Computer science, computer engineering and IT managment</subject></subj-group></article-categories><title-group><article-title>Моделирование совместного движения роботизированного буксировщика и самолёта с помощью сигналов  оптронной матрицы</article-title><trans-title-group xml:lang="en"><trans-title>Simulation of the Joint Movement of a Robotic-Towing Vehicle and  an Aircraft Using Signals from an Optocoupler Matrix</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>Афонин</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Afonin</surname><given-names>D. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Афонин Дмитрий Вячеславович, аспирант  кафедры механики, мехатроники  и робототехники</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Dmitrii V. Afonin, Post-Graduate Student of Mechanics, Mechatronics and Robotics Department</p><p>50 Let Oktyabrya str. 94, Kursk 305040</p></bio><email xlink:type="simple">teormeh@inbox.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>Печурин</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Pechurin</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Печурин Александр Сергеевич, аспирант  кафедры механики, мехатроники  и робототехники</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Alexander S. Pechurin, Post-Graduate Student of Mechanics, Mechatronics and Robotics Department</p><p>50 Let Oktyabrya str. 94, Kursk 305040</p></bio><email xlink:type="simple">teormeh@inbox.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7420-0772</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Яцун</surname><given-names>С. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Yatsun</surname><given-names>S. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Яцун Сергей Фёдорович, доктор технических наук, профессор, заведующий кафедрой механики, мехатроники и робототехники</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p><p>ResearcherID G-3891-2017 </p></bio><bio xml:lang="en"><p>Sergey F. Yatsun, Dr. of Sci. (Engineering), Professor, Head of Mechanics, Mechatronics and Robotics Department</p><p>50 Let Oktyabrya str. 94, Kursk 305040</p><p>ResearcherID G-3891-2017 </p></bio><email xlink:type="simple">teormeh@inbox.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution></aff><aff xml:lang="en"><institution>Southwest State University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>21</day><month>02</month><year>2023</year></pub-date><volume>26</volume><issue>3</issue><fpage>63</fpage><lpage>80</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Афонин Д.В., Печурин А.С., Яцун С.Ф., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Афонин Д.В., Печурин А.С., Яцун С.Ф.</copyright-holder><copyright-holder xml:lang="en">Afonin D.V., Pechurin A.S., Yatsun S.F.</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://izvestswsu.elpub.ru/jour/article/view/1037">https://izvestswsu.elpub.ru/jour/article/view/1037</self-uri><abstract><p>Серьёзная загруженность аэропортов транспортировочной и грузовой авиацией создает проблему для наземной логистики, серьёзно усложняя работу буксировочной аэродромной системы и персонала, что влечёт за собой издержки, связанные с задержкой поставок или простоя оборудования. Выйти из подобной ситуации позволит применение средств автоматического перемещения воздушных судов, способных круглосуточно и быстро буксировать самолёты по аэродрому, следуя оптимальной траектории.   Цель исследования. Создание математической модели и алгоритма управления автономным совместным движением колёсного авиационного тягача и воздушного судна, где управление основано на сигналах оптронной матрицы.</p><sec><title>Методы</title><p>Методы. Достижение поставленной цели потребовало решения задач: описания динамической модели связанных между собой упругим элементом колёсных тел; создание модели обратной связи, основанной на группе оптопар, детектирующих контрастную линию; описание логических условий, позволяющих определить положение объекта относительно контрастной линии. Для описания динамики колёсной платформы использовались уравнения Лагранжевой динамики, а также численные методы математического моделирования. В качестве инструмента для оценки положения системы относительно контрастной линии рассматривается оптронная матрица. </p></sec><sec><title>Результаты</title><p>Результаты. Разработана математическая модель, позволяющая исследовать движение системы и раскрыть взаимодействие элементов системы. Разработан адаптивный алгоритм управления движением системы на основе обратных связей дискретного типа. Рассмотрен пример управления системой при движении по прямой с прохождением поворотов под углом 900. Предложена комбинированная система торможения, при которой формируются распределенные тормозные усилия, как на воздушном судне, так и буксировщике.</p></sec><sec><title>Заключение</title><p>Заключение. В результате проведенного математического моделирования было установлено, что система колёсных тел, связанная силой упругости, способна совершать управляемое движение вдоль прямой и при прохождении крутых поворотов, опираясь на показания оптронной матрицы; приведены соответствующие графики.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Actuality</title><p>Actuality. The heavy workload of airports with transport and cargo aviation creates a problem the land logistics, that seriously complicates the work of the airfield towing system and personnel working processes. That entails expences associated with delayed deliveries or equipment downtime. The usage of the automatic aircraft movement systems, which are capable of towing aircraft round the clock and quickly along the airfield, following the optimal trajectory allows to avoid such situations.</p></sec><sec><title>Purpose of research</title><p>Purpose of research. Creation of the mathematical model and the control algorithm for the autonomous joint movement of a wheeled aircraft towing vehicle and an aircraft, where the control is based on the signals of an optocoupler array.</p></sec><sec><title>Methods</title><p>Methods. Achieving this goal required solving the following problems: describing of a dynamic model of wheeled bodies interconnected by an elastic element; creation of a feedback model based on a group of optocouplers detecting a contrast line; description of the logical conditions that allow determining the position of the object relative to the contrast line. To describe the dynamics of the wheeled platform, the equations of Lagrangian dynamics, as well as the numerical methods of mathematical modeling, were used. An optocoupler array is considered as a tool for estimating the position of the system relative to the contrast line.</p></sec><sec><title>Results</title><p>Results. A mathematical model, which explores the system movement and reveals the interaction of the system elements has been developed. An adaptive algorithm based on the discrete type feedback for the system managing is developed. An example of the control system when moving in a straight line with the passage of turns at an angle of 90 degrees is considered. A combined braking system in which the distributed brake efforts both on a aircraft and the tower are formed is proposed.</p></sec><sec><title>Conclusion</title><p>Conclusion. As a result of the mathematical modeling, it was found that the system of wheeled bodies, bound by the force of elasticity, is able to perform controlled movements along a straight line and when passing sharp turns, based on the readings of the optocoupler matrix; corresponding graphs are shown.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>авиационный робот-буксировщик</kwd><kwd>математическое моделирование системы колесных тел</kwd><kwd>оптико-электронная матрица</kwd><kwd>система управления авиационным колесным буксиром</kwd></kwd-group><kwd-group xml:lang="en"><kwd>aircraft tug robot</kwd><kwd>mathematical modeling of the system of wheeled bodies</kwd><kwd>optoelectronic matrix</kwd><kwd>aircraft wheeled tug control system</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при поддержке Стратегического проекта «Приоритет-2030. Создание робототехнических средств для расширения функциональности человека».</funding-statement><funding-statement xml:lang="en">The study was carried out with the support of the Strategic Project "Priority-2030. Creation of robotic tools to expand human functionality".</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">Shi A. et al. Multi-robot Task Allocation for Airfield Pavement Detection Tasks // 6th International Conference on Control, Robotics and Cybernetics (CRC). IEEE, 2021. Р. 62-67.</mixed-citation><mixed-citation xml:lang="en">Shi A. et al. Multi-robot Task Allocation for Airfield Pavement Detection Tasks. 6th International Conference on Control, Robotics and Cybernetics (CRC). 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