<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">novtexmech</journal-id><journal-title-group><journal-title xml:lang="ru">Мехатроника, автоматизация, управление</journal-title><trans-title-group xml:lang="en"><trans-title>Mekhatronika, Avtomatizatsiya, Upravlenie</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1684-6427</issn><issn pub-type="epub">2619-1253</issn><publisher><publisher-name>Commercial Publisher «New Technologies»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17587/mau.25.189-194</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-1537</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>РОБОТЫ, МЕХАТРОНИКА И РОБОТОТЕХНИЧЕСКИЕ СИСТЕМЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ROBOT, MECHATRONICS AND ROBOTIC SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Управление в скользящем режиме на основе алгоритма Jaya для фазового сдвига двухроторной вибрационной установки</article-title><trans-title-group xml:lang="en"><trans-title>Sliding Mode Control Based on Jaya Algorithm of Phase Shift for Two-Rotor Vibration Unit</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>Лонг</surname><given-names>X. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Long</surname><given-names>H. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант</p><p>197101; Санкт-Петербург</p></bio><bio xml:lang="en"><p>PhD Student</p><p>197101; Saint Petersburg</p></bio><email xlink:type="simple">longhd@mta.edu.vn</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>Дударенко</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dudarenko</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук, доц.</p><p>197101; Санкт-Петербург</p></bio><bio xml:lang="en"><p>Сand. Tech. Sc., Associate Professor</p><p>197101; Saint Petersburg</p></bio><email xlink:type="simple">dudarenko@mail.ifmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>10</day><month>04</month><year>2024</year></pub-date><volume>25</volume><issue>4</issue><fpage>189</fpage><lpage>194</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Commercial Publisher «New Technologies»</copyright-holder><copyright-holder xml:lang="en">Commercial Publisher «New Technologies»</copyright-holder><license xlink:href="https://mech.novtex.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://mech.novtex.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://mech.novtex.ru/jour/article/view/1537">https://mech.novtex.ru/jour/article/view/1537</self-uri><abstract><p>   Представлена система управления в скользящем режиме, основанная на алгоритме Jaya для фазового сдвига двухроторной вибрационной установки. Двухроторная вибрационная установка представляет собой сильно нелинейную систему, которая имеет множество прикладных применений в практических системах. Задачей управления для этой модели является проектирование регуляторов, обеспечивающих фазовый сдвиг в соответствии с желаемым значением и синхронизацию скорости двух роторов. Для решения этой задачи авторы используют ПИ регуляторы для синхронизации скорости двух роторов и регулятор в скользящем режиме для фазового сдвига. ПИ управление является эффективным методом проектирования регуляторов для практических систем. Кроме того, управление в скользящем режиме является одним из наиболее эффективных методов проектирования надежных регуляторов для нелинейных систем, подверженных внешним воздействиям. Однако определение коэффициентов ПИ регуляторов и регуляторов в скользящем режиме представляет собой вызов для исследователей. В данной работе алгоритм Jaya используется для поиска коэффициентов этих регуляторов, которые гарантируют желаемый фазовый сдвиг двух роторов, синхронизацию скорости двух роторов и ограничение управляющих законов. Результаты моделирования иллюстрируют эффективность предложенного метода.</p></abstract><trans-abstract xml:lang="en"><p>   In this paper, a sliding mode control based on the Jaya algorithm o f phase shift for a two-rotor vibration unit is presented. A two-rotor vibration unit is a highly nonlinear system that has many applications in practical systems. The control problem for this model is to design controllers to ensure phase shift according to the desired value and synchronize the speed of the two rotors. To solve this problem, the authors use the PI controllers for synchronizing the speed of the two rotors and the sliding mode controller for the phase shift. PI control is an effective method to design controllers for practical systems. Besides, Sliding Mode Control (SMC) is one of the most effective methods for designing robust controllers for nonlinear systems affected by external disturbances. However, defining the coefficients of PI controllers and sliding mode controllers is the challenge for researchers. In this study, the Jaya algorithm is used to find the coefficients of these controllers that guarantee the desired phase shift of two rotors, the synchronizing speed of two rotors, and the limitation of control laws. The simulation results are illustrated to show the effectiveness of the proposed method.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>двухроторная вибрационная установка</kwd><kwd>управление в скользящем режиме</kwd><kwd>алгоритм Jaya</kwd><kwd>фазовый сдвиг</kwd><kwd>синхронизация скоростей</kwd><kwd>настройка параметров</kwd><kwd>интегральная абсолютная ошибка</kwd></kwd-group><kwd-group xml:lang="en"><kwd>two-rotor vibration unit</kwd><kwd>sliding mode control</kwd><kwd>jaya algorithm</kwd><kwd>phase shift</kwd><kwd>synchronization speeds</kwd><kwd>tuning parameters</kwd><kwd>integral absolute error</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Blekhman I. I., Fradkov A. L., Tomchina O. P., Bogdanov D. E. Self-synchronization and controlled synchronization: general definition and example design, Mathematics and Computers in Simulation (MATCOM), 2002, vol. 58, no. 4, pp. 367—384.</mixed-citation><mixed-citation xml:lang="en">Blekhman I. I., Fradkov A. L., Tomchina O. P., Bogdanov D. E. Self-synchronization and controlled synchronization: general definition and example design, Mathematics and Computers in Simulation (MATCOM), 2002, vol. 58, no. 4, pp. 367—384.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Fradkov A. L., Andrievsky B., Boykov K. Control of the coupled double pendulums system, Mechatronics, 2005, vol. 15, no. 10, pp. 1289—1303.</mixed-citation><mixed-citation xml:lang="en">Fradkov A. L., Andrievsky B., Boykov K. Control of the coupled double pendulums system, Mechatronics, 2005, vol. 15, no. 10, pp. 1289—1303.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Tomchina O. P. Control of vibrational field in a cyber-physical vibration unit, Cybernetics and Physics, 2018, vol. 7, no. 3, pp. 144—151.</mixed-citation><mixed-citation xml:lang="en">Tomchina O. P. Control of vibrational field in a cyber-physical vibration unit, Cybernetics and Physics, 2018, vol. 7, no. 3, pp. 144—151.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Tomchina O. P. Vibration field control of a two-rotor vibratory unit in the double synchronization mode, Cybernetics and Physics, 2022, vol. 11, no. 4, pp. 246—252.</mixed-citation><mixed-citation xml:lang="en">Tomchina O. P. Vibration field control of a two-rotor vibratory unit in the double synchronization mode, Cybernetics and Physics, 2022, vol. 11, no. 4, pp. 246—252.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Gorlatov D. V., Tomchin D. A., Tomchina O. P. Controlled Passage through Resonance for Two-Rotor Vibration Unit: Influence of Drive Dynamics, IFAC-PapersOnLine, 2015, vol. 48, no. 11, pp. 313—318.</mixed-citation><mixed-citation xml:lang="en">Gorlatov D. V., Tomchin D. A., Tomchina O. P. Controlled Passage through Resonance for Two-Rotor Vibration Unit: Influence of Drive Dynamics, IFAC-PapersOnLine, 2015, vol. 48, no. 11, pp. 313—318.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Boikov V. I., Andrievsky B., Shiegin V. V. Experimental study of unbalanced rotors synchronization of the mechatronic vibration setup, Cybernetics and Physics, 2016, vol. 5, no. 1, pp. 5—11.</mixed-citation><mixed-citation xml:lang="en">Boikov V. I., Andrievsky B., Shiegin V. V. Experimental study of unbalanced rotors synchronization of the mechatronic vibration setup, Cybernetics and Physics, 2016, vol. 5, no. 1, pp. 5—11.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Fradkov A. L., Tomchina O. P., Andrievsky B., Boikov V. I. Control of Phase Shift in Two-Rotor Vibration Units, IEEE Transactions on Control Systems Technology, 2021, vol. 29, no. 3, pp. 1316—1323.</mixed-citation><mixed-citation xml:lang="en">Fradkov A. L., Tomchina O. P., Andrievsky B., Boikov V. I. Control of Phase Shift in Two-Rotor Vibration Units, IEEE Transactions on Control Systems Technology, 2021, vol. 29, no. 3, pp. 1316—1323.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Andrievsky B., Boikov V. I. Bidirectional controlled multiple synchronization of unbalanced rotors and its experimental evaluation, Cybernetics and Physics, 2021, vol. 10, no. 2, pp. 63—74.</mixed-citation><mixed-citation xml:lang="en">Andrievsky B., Boikov V. I. Bidirectional controlled multiple synchronization of unbalanced rotors and its experimental evaluation, Cybernetics and Physics, 2021, vol. 10, no. 2, pp. 63—74.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Shagniev O. Model Reference Neural Network Control for Two-rotor Vibration Unit, 5&lt;sup&gt;th&lt;/sup&gt; Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2021, pp. 176—179.</mixed-citation><mixed-citation xml:lang="en">Shagniev O. Model Reference Neural Network Control for Two-rotor Vibration Unit, 5&lt;sup&gt;th&lt;/sup&gt; Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2021, pp. 176—179.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Long H. D., Dudarenko N. A. Synchronization of Two-Rotor Vibration Units Using Neural Network-Based PID Controller, Cybernetics and Physics, 2022, vol. 11, no. 3, pp. 136—144.</mixed-citation><mixed-citation xml:lang="en">Long H. D., Dudarenko N. A. Synchronization of Two-Rotor Vibration Units Using Neural Network-Based PID Controller, Cybernetics and Physics, 2022, vol. 11, no. 3, pp. 136—144.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Shagniev O., Fradkov A. L. Neural network-based synchronization control of the two-rotor vibration setup, 7&lt;sup&gt;th&lt;/sup&gt; Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2023, pp. 245—248.</mixed-citation><mixed-citation xml:lang="en">Shagniev O., Fradkov A. L. Neural network-based synchronization control of the two-rotor vibration setup, 7&lt;sup&gt;th&lt;/sup&gt; Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2023, pp. 245—248.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Andrievsky B., Zaitceva I., Barkana I. Passification-Based Robust Phase-Shift Control for Two-Rotor Vibration Machine, Electronics, 2023, vol. 12, no. 4, p. 1006.</mixed-citation><mixed-citation xml:lang="en">Andrievsky B., Zaitceva I., Barkana I. Passification-Based Robust Phase-Shift Control for Two-Rotor Vibration Machine, Electronics, 2023, vol. 12, no. 4, p. 1006.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Kuznetsov N., Andrievsky B., Zaitceva I., Akimova E. Sliding-Mode Control of Phase Shift for Two-Rotor Vibration Setup, Interactive Collaborative Robotics: 8th International Conference, 2023, vol. 14214, pp. 293—307.</mixed-citation><mixed-citation xml:lang="en">Kuznetsov N., Andrievsky B., Zaitceva I., Akimova E. Sliding-Mode Control of Phase Shift for Two-Rotor Vibration Setup, Interactive Collaborative Robotics: 8th International Conference, 2023, vol. 14214, pp. 293—307.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Rao R. V. Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems, International Journal of Industrial Engineering Computations 7, 2016, vol. 7, no. 1, pp. 19—34.</mixed-citation><mixed-citation xml:lang="en">Rao R. V. Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems, International Journal of Industrial Engineering Computations 7, 2016, vol. 7, no. 1, pp. 19—34.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Rao R. V. Jaya Optimization Algorithm and Its Variants, In book: Jaya: An advanced Optimization Algorithm and its Engineering Applications, 2019, pp. 16—26.</mixed-citation><mixed-citation xml:lang="en">Rao R. V. Jaya Optimization Algorithm and Its Variants, In book: Jaya: An advanced Optimization Algorithm and its Engineering Applications, 2019, pp. 16—26.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Razmjooy N., Ashourian M., Foroozandeh Z. Jaya Algorithm and Applications: A Comprehensive Review, In book: Metaheuristics and Optimization in Computer and Electrical Engineering, 2021, pp. 67—142.</mixed-citation><mixed-citation xml:lang="en">Razmjooy N., Ashourian M., Foroozandeh Z. Jaya Algorithm and Applications: A Comprehensive Review, In book: Metaheuristics and Optimization in Computer and Electrical Engineering, 2021, pp. 67—142.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Margalith A., Mergler H. W. Optimum Setting for Proportional Controller, IEEE Transactions on Industrial Electronics, 1982, vol. IE-29, no. 2, pp. 165—175.</mixed-citation><mixed-citation xml:lang="en">Margalith A., Mergler H. W. Optimum Setting for Proportional Controller, IEEE Transactions on Industrial Electronics, 1982, vol. IE-29, no. 2, pp. 165—175.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Jaiswal S., Kumar C. S., Seepana M. M., Babu G. U. B. Design of Fractional Order PID Controller Using Genetic Algorithm Optimization Technique for Nonlinear System, The journal Chemical Product and Process Modeling, 2020, vol. 15, no. 2, pp. 1—11.</mixed-citation><mixed-citation xml:lang="en">Jaiswal S., Kumar C. S., Seepana M. M., Babu G. U. B. Design of Fractional Order PID Controller Using Genetic Algorithm Optimization Technique for Nonlinear System, The journal Chemical Product and Process Modeling, 2020, vol. 15, no. 2, pp. 1—11.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Sekaj I. Genetic Algorithm based Controller Design, IFAC Proceedings Volumes, 2003, vol. 36, no. 18, pp. 125—128.</mixed-citation><mixed-citation xml:lang="en">Sekaj I. Genetic Algorithm based Controller Design, IFAC Proceedings Volumes, 2003, vol. 36, no. 18, pp. 125—128.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
