Stability and stabilization for discrete systems with time-varying delays based on the average dwell-time method

Author

Sun, Jian ; Chen, Jie ; Liu, G.P. ; Rees, D.

Author_Institution

Sch. of Autom., Beijing Inst. of Technol., Beijing, China

fYear

2009

fDate

11-14 Oct. 2009

Firstpage

4786

Lastpage

4790

Abstract

In this paper, the problems of the exponential stability and stabilization for a class of discrete systems with time-varying delays are considered. By converting discrete systems with time-varying delays into switched systems and using the average dwell-time method, a new stability criterion is obtained and presented in terms of linear matrix inequality. Based on the obtained stability condition, a design method for the feedback controller to stabilize the system is also proposed. Finally, some numerical examples are given to show the effectiveness of the proposed method.

Keywords

asymptotic stability; control system synthesis; delays; discrete systems; feedback; linear matrix inequalities; time-varying systems; average dwell-time method; discrete systems; exponential stability; feedback controller design method; linear matrix inequality; stabilization; switched systems; time-varying delays; Asymptotic stability; Control systems; Delay estimation; Delay systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Stability criteria; Switched systems; Time varying systems; Exponential stability; average dwell-time method; feedback control; linear matrix inequality; switched systems; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on

Conference_Location

San Antonio, TX

ISSN

1062-922X

Print_ISBN

978-1-4244-2793-2

Electronic_ISBN

1062-922X

Type

conf

DOI

10.1109/ICSMC.2009.5346075

Filename

5346075