Стабилизация линейных систем управления. Проблема назначения полюсов. Обзор

Авторы

  • Магомет Мишаустович Шумафов Адыгейский государственный университет, Российская Федерация, 38500, Майкоп, Первомайская, 208

DOI:

https://doi.org/10.21638/11701/spbu01.2019.404

Аннотация

В статье дан обзор по проблеме стабилизации стационарных линейных систем управления и проблеме назначения полюсов или размещения собственных чисел. Приведены основные результаты работ по данной тематике. Рассматриваются стационарная и нестационарная стабилизации обратной связью. Приведены алгоритмы (низкочастотной и высокочастотной стабилизаций) решения проблемы Брокетта о стабилизации линейных систем нестационарной обратной связью. Даны эффективные необходимые и достаточные условия стабилизируемости двумерных и трехмерных управляемых линейных систем. Рассматривается проблема о назначении полюсов и смежные с ней вопросы.

Ключевые слова:

линейная система управления, обратная связь, неустойчивая система, стабилизация, асимптотическая устойчивость, назначение полюсов

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Библиографические ссылки

Литература

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Загрузки

Опубликован

28.11.2019

Как цитировать

Шумафов, М. М. (2019). Стабилизация линейных систем управления. Проблема назначения полюсов. Обзор. Вестник Санкт-Петербургского университета. Математика. Механика. Астрономия, 6(4), 564–591. https://doi.org/10.21638/11701/spbu01.2019.404

Выпуск

Том 6 № 4 (2019)

Раздел

Памяти Г. А. Леонова

Лицензия

Статьи журнала «Вестник Санкт-Петербургского университета. Математика. Механика. Астрономия» находятся в открытом доступе и распространяются в соответствии с условиями Лицензионного Договора с Санкт-Петербургским государственным университетом, который бесплатно предоставляет авторам неограниченное распространение и самостоятельное архивирование.