novtexmechМехатроника, автоматизация, управлениеMekhatronika, Avtomatizatsiya, Upravlenie1684-64272619-1253Commercial Publisher «New Technologies»10.17587/mau.23.351-355novtexmech-1214Research ArticleСИСТЕМНЫЙ АНАЛИЗ, УПРАВЛЕНИЕ И ОБРАБОТКА ИНФОРМАЦИИSYSTEM ANALYSIS, CONTROL AND INFORMATION PROCESSINGУправление объектами с секторной нелинейностью с гарантией нахождения регулируемой переменной в заданном множествеControl of Sector-Bound Systems with the Guarantee Output Signal in a Given SetНгуенБа ХюBa HuyNguyen

Аспирант

г. Санкт-Петербург

Saint Petersburg

leningrat206@gmail.comФуртатИ. Б.FurtatI. B.

Д-р техн. наук, проф., гл. науч. сотр., зав. лаб.

г. Санкт-Петербург

Saint Petersburg

cainenash@mail.ruИнститут п роблем машиноведения РАН, Университет ИТМОРоссияInstitute for Problems of Mechanical Engineering (RAS); ITMO UniversityRussian FederationInstitute for Problems of Mechanical Engineering (RAS); ITMO UniversityRussian Federation202206072022237351355Copyright © Commercial Publisher «New Technologies», 20222022Commercial Publisher «New Technologies»Commercial Publisher «New Technologies»https://mech.novtex.ru/jour/about/submissions#copyrightNoticehttps://mech.novtex.ru/jour/article/view/1214

Предложен новый метод синтеза управления объектами с секторной нелинейностью с гарантией нахождения регулируемой переменной в заданном множестве при неизвестных ограниченных возмущениях. Синтез алгоритма осуществляется в два этапа. На первом этапе используется преобразование координат, чтобы свести исходную задачу с ограничениями к задаче исследования на устойчивость по вход—состоянию новой расширенной системы без ограничений. На втором этапе синтезируется закон управления для преобразованной системы, в котором настраиваемый параметр выбирается из решения линейных матричных неравенств. Для иллюстрации эффективности работы предлагаемого метода приведены результаты моделирования в MATLAB/Simulink, которые показали эффективность предложенного метода и подтвердили теоретические результаты.

In this paper, we propose a new method for synthesizing the control of plants with sector-bound nonlinearity with a guarantee of finding the controlled signal in given set at any time under conditions of unknown bounded disturbances. The basis of the method consists of two stages. At the first stage, the coordinate transformation is used to reduce the original constrained problem to the problem of studying the input-to-state stability of a new extended system without constraints. Thus, any known control methods can now be applied to stabilize the system in new coordinates. At the same time, to achieve the goal, it is not required to reduce the value of the control error. It is enough to show its boundedness. At the second stage, a control law is synthesized for the extended system, where the adjustable parameter is selected from the solution of linear matrix inequalities. To illustrate the effectiveness of the proposed method, simulation in the MATLAB Simulink is given. The simulation results show the presence of controlled signals in the given set and the boundness of all signals in the control system. It is shown that an increase the value of the gains in the control law improves the quality of disturbance attenuation that is consistent with theoretical results.

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The authors declare that there are no conflicts of interest present.