Controllability and stabilization of discrete-time switched linear systems

Author

Xie, Guangniing ; Wang, Long

Author_Institution

Dept. of Mechanics & Eng. Sci., Peking Univ., Beijing, China

Volume

6

fYear

2004

fDate

10-13 Oct. 2004

Firstpage

5338

Abstract

In this paper, the problems of controllability analysis and stabilization synthesis of discrete-time switched linear systems are addressed. The main contribution of this paper is to prove that a controllable switched linear discrete-time system is stabilizable via piecewise constant state feedback controller with periodically switching signal. Two different kinds of controller design are presented; one is based on pole assignment the other is in linear matrix inequality (LMI) form.

Keywords

control system analysis; control system synthesis; controllability; discrete time systems; linear matrix inequalities; linear systems; pole assignment; stability; state feedback; time-varying systems; controllability analysis; discrete-time switched linear system; linear matrix inequality; piecewise constant state feedback control; pole assignment; stabilization synthesis; Control system synthesis; Control systems; Controllability; Linear feedback control systems; Linear matrix inequalities; Linear systems; Observability; State feedback; Switched systems; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2004 IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-8566-7

Type

conf

DOI

10.1109/ICSMC.2004.1401042

Filename

1401042