L2 gain control synthesis of discrete-time switched systems with input time-delay

Author

Dongmei, Xie ; Xiaoxin, Chen ; Ning, Xu

Author_Institution

Dept. of Math., Tianjin Univ., Tianjin

fYear

2008

fDate

16-18 July 2008

Firstpage

54

Lastpage

57

Abstract

In this paper, we focus on investigating the L₂ gain control synthesis problem of switched systems with input time-delay. Based on some basic and important lemmas, switched state feedback controllers guaranteeing that the corresponding closed-loop system is uniformly asymptotically stable with an L₂ gain smaller than gamma is established. All the results in this paper are expressed in terms of linear matrix inequalities (LMIs), which can be easily tested with efficient LMI algorithms.

Keywords

asymptotic stability; closed loop systems; control system synthesis; delays; discrete time systems; linear matrix inequalities; state feedback; time-varying systems; L₂ gain control synthesis; asymptotically stable; closed-loop system; discrete-time switched systems; input time-delay; linear matrix inequalities; switched state feedback controllers; Automatic control; Control system synthesis; Control systems; Delay systems; Gain control; Linear matrix inequalities; Stability analysis; State feedback; Switched systems; Symmetric matrices; Discrete-time switched systems; Input time-delay; Linear matrix inequality (LMI); Switched state feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605221

Filename

4605221