Quadratic stabilizability of switched linear systems with polytopic uncertainties

Guisheng Zhai, Hai Lin, Panos J. Antsaklis

研究成果: Article査読

244 被引用数 (Scopus)

抄録

In this paper, we consider quadratic stabilizability via state feedback for both continuous-time and discrete-time switched linear systems that are composed of polytopic uncertain subsystems. By state feedback, we mean that the switchings among subsystems are dependent on system states. For continuous-time switched linear systems, we show that if there exists a common positive definite matrix for stability of all convex combinations of the extreme points which belong to different subsystem matrices, then the switched system is quadratically stabilizable via state feedback. For discrete-time switched linear systems, we derive a quadratic stabilizability condition expressed as matrix inequalities with respect to a family of non-negative scalars and a common positive definite matrix. For both continuous-time and discrete-time switched systems, we propose the switching rules by using the obtained common positive definite matrix.

本文言語English
ページ(範囲)747-753
ページ数7
ジャーナルInternational Journal of Control
76
7
DOI
出版ステータスPublished - 2003 5月 10
外部発表はい

ASJC Scopus subject areas

  • 制御およびシステム工学
  • コンピュータ サイエンスの応用

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