67412

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Methods of Ensuring Invariance with Respect to External Disturbances: Overview and New Advances

Электронная публикация: 

Да

ISBN/ISSN: 

2227-7390

DOI: 

10.3390/math9233140

Наименование источника: 

  • Mathematics

Обозначение и номер тома: 

Vol. 9, Iss. 23

Город: 

  • Basel

Издательство: 

  • MDPI

Год издания: 

2021

Страницы: 

3140 https://www.mdpi.com/2227-7390/9/23/3140
Аннотация
In this paper, we carry out a demonstration and comparative analysis of known methods of the synthesis of various control laws ensuring the invariance of the output (controlled) variable with respect to external disturbances under various assumptions about their type and channels of acting on the control plant. Methods of the synthesis are presented on the example of a third-order nonlinear system with single input and single output (SISO-systems), dynamic feedback synthesis is presented at a descriptive level and the focus is on procedures of static feedback synthesis. For the systems in which the matching conditions are not satisfied, it is concluded that it is expedient to introduce smooth and bounded nonlinear local feedbacks. Within the framework of the block control principle, we developed an iterative procedure of synthesis of S-shaped sigmoid feedbacks for such systems. Nonlinear local feedbacks ensure stabilization of the output variable with the given accuracy and settling time as in a system with traditionally used linear local feedbacks with high gains. However, in contrast to it, sigmoid functions do not lead to a large overshoot of state variables and control actions.

Библиографическая ссылка: 

Антипов А.С., Краснова С.А., Уткин В.А. Methods of Ensuring Invariance with Respect to External Disturbances: Overview and New Advances // Mathematics. 2021. Vol. 9, Iss. 23. С. 3140 https://www.mdpi.com/2227-7390/9/23/3140.