Stabilization and strictly dissipative control for switched singular systems

Author

Lv Hui ; Zhang Qingling ; Ren Junchao ; Li Yuan

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2013

Firstpage

60

Lastpage

65

Abstract

The stabilization and strictly dissipative control problem for a class of switched singular systems with perturbations are discussed in this paper. Based on the restricted system equivalent (r.s.e.) transformation, the switched singular system is transformed into a switched standard linear system by introducing new state vectors, and linear matrix inequality (LMI) conditions for the switched singular systems to be regular, impulsive free, uniformly asymptotically stable and strictly (Q,S,R) dissipative are obtained. With these conditions, the stabilization problem and dissipative control problem are solved based on LMIs. A numerical example is given to illustrate the effectiveness of the obtained results.

Keywords

asymptotic stability; linear matrix inequalities; singularly perturbed systems; time-varying systems; LMI conditions; impulsive free switched singular systems; linear matrix inequality conditions; perturbations; regular switched singular systems; restricted system equivalent transformation; stabilization; state vectors; strictly dissipative control problem; switched standard linear system; uniformly asymptotically stable switched singular systems; Asymptotic stability; Closed loop systems; Nickel; Switches; Symmetric matrices; Vectors; Dissipative Control; Stabilization; Switched Singular Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Type

conf

Filename

6639401