Stability and stabilization for a class of discrete-time piecewise affine singular systems

Author

Ma, Shuping ; Boukas, El-Kébir

Author_Institution

Sch. of Math. & Syst. Sci., Shandong Univ., Jinan, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6395

Lastpage

6400

Abstract

The stability and stabilization problems for discrete-time piecewise affine singular systems are discussed. A basic linear matrix inequality (LMI) sufficient condition for the systems to be regular, causal and stable is given. With this condition and some inequalities, a LMI stability condition that makes easier the design of the state feedback controller is proposed, and then the state feedback stabilization problem is solved in terms of LMIs. Finally, a numerical example to illustrate the effectiveness of the method is given.

Keywords

control system synthesis; discrete time systems; linear matrix inequalities; stability; state feedback; LMI stability; discrete-time piecewise affine singular systems; linear matrix inequality; state feedback controller design; Control systems; Controllability; Ellipsoids; Linear matrix inequalities; Lyapunov method; Observability; Robust stability; State feedback; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400141

Filename

5400141