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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">10.21869/2223-1560-2019-23-6-176-188</article-id><article-id custom-type="elpub" pub-id-type="custom">izvestswsu-667</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 паттернов походки пациента с повреждением опорно-двигательного аппарата с помощью экзоскелета</article-title><trans-title-group xml:lang="en"><trans-title>Modeling Gait Patterns of a Patient  with Orthopedic Injury Using an Exoskeleton</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>Яцун</surname><given-names>С. В.</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 Федорович, доктор  технических наук, профессор</p><p> </p></bio><bio xml:lang="en"><p>Sergei F. Yatsun, Dr. of Sci. (Engineering),  Professor, Head of the Department of Mechanics, Mechatronics and Robotics</p><p>Kursk</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>Аль Манджи</surname><given-names>Х.Х.М.</given-names></name><name name-style="western" xml:lang="en"><surname>Al Manji</surname><given-names>Khalil Hamed Mohammed Hamood</given-names></name></name-alternatives><bio xml:lang="ru"><p>Аль Манджи Халиль Хамед Мохаммед,  аспирант</p><p>ул. 50 лет Октября, 94, г. Курск, 305040</p></bio><bio xml:lang="en"><p>Al Manji Khalil Hamed Mohammed Hamood, Post-Graduate Student, Department of Mechanics, Mechatronics and Robotics</p><p>Kursk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Постольный</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Postolny</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Постольный Алексей Александрович,  аспирант</p><p>ул. 50 лет Октября, 94, г. Курск, 305040</p></bio><bio xml:lang="en"><p>Alexey A. Postolny, Post-Graduate Student, Department of Mechanics, Mechatronics and Robotics</p><p>Kursk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Яцун</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Yatsun</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Яцун Андрей Сергеевич, кандидат  технических наук, доцент</p><p>ул. 50 лет Октября, 94, г. Курск, 305040</p></bio><bio xml:lang="en"><p>Andrey S. Yatsun, Cand. of Sci. (Engineering), Department of Mechanics, Mechatronics and Robotics</p><p>Kursk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГБОУ ВО «Юго-Западный государственный университет»</institution></aff><aff xml:lang="en"><institution>Southwest State  University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>23</day><month>02</month><year>2020</year></pub-date><volume>23</volume><issue>6</issue><fpage>176</fpage><lpage>188</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Яцун С.В., Аль Манджи Х., Постольный А.А., Яцун А.С., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Яцун С.В., Аль Манджи Х., Постольный А.А., Яцун А.С.</copyright-holder><copyright-holder xml:lang="en">Yatsun S.F., Al Manji K., Postolny A.A., Yatsun A.S.</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/667">https://izvestswsu.elpub.ru/jour/article/view/667</self-uri><abstract><sec><title>Цель исследования</title><p>Цель исследования. В статье приведено описание реабилитационного робототехнического комплекса EXOLITE-REHAB, позволяющего осуществлять реабилитационные упражнения нижних конечностей пациентов путем выполнения подъема ноги, вертикализации, приседаний и прочих видов движения. Во многих странах ведутся работы по созданию устройств, позволяющих человеку передвигаться в пространстве при повреждении опорно-двигательного аппарата. Поэтому целью данной статьи является изучение и задание основных закономерностей и алгоритмов на основе математических моделей, описывающих управляемое движение экзоскелета нижних конечностей на примере моделирования движения голеностопного шарнира экзоскелета.</p></sec><sec><title>Методы</title><p>Методы. Ключевой особенностью комплекса является применение копирующей системы управления, которая позволяет обеспечить заданное движение голеностопного сустава человека с высокой степенью точности в широком диапазоне изменения параметров. Применяются методы математического моделирования движения голеностопного сустава с учетом последующего возможного их применения на моделировании движения звеньев экзоскелета.</p></sec><sec><title>Результаты</title><p>Результаты. Для моделирования работы робототехнического комплекса применяется кинематическое задание траектории движения голеностопного шарнира. Для нахождения вектора обобщенных координат решается обратная задача кинематики с применением векторно-матричного метода с применением матрицы Якоби. Результаты численного моделирования показывают высокую сходимость и адекватность предложенного метода.</p></sec><sec><title>Заключение</title><p>Заключение. В статье рассмотрен метод применения копирующей системы управления, обладающей достаточной степенью точности копирования траектории. Результаты моделирования копирующей системы управления реабилитационного экзоскелета EXOLITE-REHAB, работающей по разработанному алгоритму, показывают, что она в достаточной степени точности способна повторять требуемую траекторию. В будущем планируется более углубленно исследовать систему на трёхмерной модели с электроприводами.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose of reseach</title><p>Purpose of reseach. The paper describes the EXOLITE-REHAB rehabilitation robotic complex which makes it possible to do rehabilitation exercises of lower limbs of patients by performing leg lifting, verticalization, squats and other types of movement. In many countries, research work is underway to create devices that allow a person to move in space when the musculo-skeletal system is damaged.  Therefore, the purpose of this article is to study and set the basic regularities and algorithms based on mathematical models describing the controlled movement of the lower limbs exoskeleton by the example of modeling the movement of the exoskeleton's ankle joint.</p></sec><sec><title>Methods</title><p>Methods. The key feature of the complex is the use of a follower-up control system that allows us to provide a prescribed movement of the human ankle joint with a high degree of accuracy in a wide range of parameters’ changes. Methods of mathematical modeling of the ankle joint movement are applied, taking into account their subsequent possible use in modeling the movement of exoskeleton links.</p></sec><sec><title>Results</title><p>Results. A kinematic setting of the ankle joint movement trajectory  is used in order to simulate the operation of a robotic system. In order to find the vector of generalized coordinates, the inverse kinematics problem is solved using the vector-matrix method with the application of Jacobian matrix. The results of numerical simulation show high convergence and adequacy of the proposed method.</p></sec><sec><title>Conclusion</title><p>Conclusion. The article considers the method of using a follower-up control system that has a sufficient degree of accuracy of copying the trajectory. The results of modeling the follower-up control system of the EXOLITE-REHAB rehabilitation exoskeleton, working according to the developed algorithm, show that it is able to repeat the required trajectory with sufficient accuracy. In the future, we plan to study the system more deeply on a three-dimensional model with electric drives. </p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>паттерны походки</kwd><kwd>экзоскелет нижних конечностей</kwd><kwd>кинематическая модель</kwd><kwd>датчик силы</kwd><kwd>голеностопный шарнир</kwd></kwd-group><kwd-group xml:lang="en"><kwd>gait patterns</kwd><kwd>lower limb exoskeleton</kwd><kwd>kinematic model</kwd><kwd>force sensor</kwd><kwd>ankle joint</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при поддержке гранта РФФИ 18-08-00773А</funding-statement><funding-statement xml:lang="en">Research work was supported by RFBR grant 18-08-00773A.</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">Алисейчик А.П. 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