43752

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Доклад

Название: 

Estimation of Attraction Domains for Multi-Input Affine Systems with Constrained Controls

ISBN/ISSN: 

1613-0073

Наименование конференции: 

  • 8th International Conference on Optimization Methods and Applications “OPTIMIZATION AND APPLICATINS” (OPTIMA-2017, Petrovac, Montenegro)

Наименование источника: 

  • Proceedings of the 8th International Conference on Optimization Methods and Applications “OPTIMIZATION AND APPLICATINS” (OPTIMA-2017)

Обозначение и номер тома: 

Vol. 1987

Город: 

  • Petrovac, Montenegro

Издательство: 

  • CEUR-WS

Год издания: 

2017

Страницы: 

452-459. http://ceur-ws.org/Vol-1987/paper65.pdf
Аннотация
Multi-input nonlinear affine systems represented in a canonical (normal) form are considered. The controls are assumed to be constrained. The application of feedback linearization results in a closed-loop system that is decomposed into an aggregate of independent linear subsystems in a neighborhood of the origin and is nonlinear when controls reach saturation. For the closed-loop system obtained, the problem of estimating the attraction domain is set. A method for constructing an estimate of the attraction domain that is based on results of absolute stability theory is suggested. An estimate is sought as a Cartesian product of invariant ellipsoids each of which is found by solving a system of linear matrix inequalities. An optimization problem of finding the best estimate is posed. The discussion is illustrated by numerical examples.

Библиографическая ссылка: 

Пестерев А.В. Estimation of Attraction Domains for Multi-Input Affine Systems with Constrained Controls / Proceedings of the 8th International Conference on Optimization Methods and Applications “OPTIMIZATION AND APPLICATINS” (OPTIMA-2017). Petrovac, Montenegro: CEUR-WS, 2017. Vol. 1987. С. 452-459. http://ceur-ws.org/Vol-1987/paper65.pdf.