ntvНаучно-технический вестник информационных технологий, механики и оптикиScientific and Technical Journal of Information Technologies, Mechanics and Optics2226-14942500-0373Университет ИТМО10.17586/2226-1494-2024-24-5-745-750ntv-140Research ArticleАВТОМАТИЧЕСКОЕ УПРАВЛЕНИЕ И РОБОТОТЕХНИКАAUTOMATIC CONTROL AND ROBOTICSУправление нелинейными объектами с гарантией нахождения регулируемой переменной в заданном множестве при возмущениях и помехах в измеренияхControl of nonlinear plants with a guarantee for the controlled signal to stay within a given set under disturbances and high-frequency measurement noiseshttps://orcid.org/0000-0001-8676-6696СюэчэнВэньXuechengWen

Вэнь Сюэчэн - аспирант

Санкт-Петербург, 197101

Xuecheng Wen - PhD Student

Saint Petersburg, 197101

xuecheng.wen@outlook.comhttps://orcid.org/0000-0003-4679-5884ФуртатИ. БFurtatI. B.

Фуртат Игорь Борисович - доктор технических наук, профессор, профессор

Санкт-Петербург, 199178

Igor B. Furtat - D.Sc., Full Professor; Head of Department, Chief Researcher

Saint Petersburg, 197101

Saint Petersburg, 199178

cainenash@mail.ruУниверситет ИТМОРоссияITMO UniversityRussian FederationИнститут проблем машиноведения Российской академии наукРоссияITMO University; Institute of Problems of Mechanical Engineering of the Russian Academy of SciencesRussian Federation202413122024245745750Copyright © Сюэчэн В., Фуртат И.Б., 20242024Сюэчэн В., Фуртат И.Б.Xuecheng W., Furtat I.B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ntv.elpub.ru/jour/article/view/140

Введение. Предложен новый алгоритм управления нелинейными объектами с гарантией нахождения регулируемой переменной в заданном множестве в условиях параметрической неопределенности, внешних возмущений и высокочастотных помех в измерениях.Метод. Задача решена в два этапа. На первом этапе применен линейный фильтр нижних частот для устранения высокочастотных составляющих в измеряемом сигнале. На втором этапе использовано преобразование координат, чтобы свести исходную задачу с ограничениями к задаче исследования на устойчивость по вход-состоянию новой системы без ограничений.Основные результаты. Разработан алгоритм обратной связи по выходу для нелинейных систем в условиях параметрической неопределенности, внешних возмущений и высокочастотных помех в измерениях. Выполнено моделирование в MATLAB/Simulink, результаты которого показали эффективность предложенного алгоритма.Обсуждение. Представленный алгоритм может эффективно решать задачи управления электроэнергетическими сетями и рядом других электромеханических систем при наличии помех в измерениях.

A new control algorithm for nonlinear plants is proposed, ensuring the controlled variable stays within a given set under conditions of parametric uncertainties, external disturbances and high-frequency noises in measurements. The problem is solved in two stages. In the first stage, a low-pass filter is applied to eliminate high-frequency components in the measured controlled signal. In the second stage, a coordinate transformation represents the initial problem with given restrictions as an input-state stability analysis problem of a new system without constraints. An output feedback algorithm has been developed for uncertain nonlinear systems under conditions of parametric uncertainties, external disturbances, and high-frequency noise in measurements. Simulations in MATLAB/Simulink are given. The simulation results show the efficiency of the proposed algorithm. The proposed algorithm can effectively solve control problems for power systems or electromechanical systems in the presence of measurement noises.

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