77967

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Necessary Extremum Conditions and the Neustadt–Eaton Method in the Time-Optimal Control Problem for a Group of Nonsynchronous Oscillators

ISBN/ISSN: 

0005-1179

DOI: 

10.31857/S0005117924060079

Наименование источника: 

  • Automation and Remote Control

Обозначение и номер тома: 

Т. 85. № 6

Город: 

  • Moscow

Издательство: 

  • Trapeznikov Institute of Control Sciences of Russian Academy of Sciences

Год издания: 

2024

Страницы: 

621–635
Аннотация
The time-optimal control problem for an arbitrary number of nonsynchronous oscillators with a limited scalar control is considered. An analytical investigation of the problem is performed. The property of strong accessibility and global controllability is proved, and a program control is found that brings the system from the origin to a fixed point in the shortest time. Trajectories satisfying both the motion equations of the system and the additional conditions based on the matrix nondegeneracy conditions of the relay control have been found for bringing a group of oscillators to the origin. Two classification methods of trajectories according to the number of control switchings are compared: the one based on the necessary extremum conditions and the Neustadt–Eaton numerical algorithm.

Библиографическая ссылка: 

Берлин Л.М., Галяев А.А., Лысенко П.В. Necessary Extremum Conditions and the Neustadt–Eaton Method in the Time-Optimal Control Problem for a Group of Nonsynchronous Oscillators // Automation and Remote Control. 2024. Т. 85. № 6. С. 621–635.