The robust H∞ control for discrete-time switched interval system

Author

Zhang Damin ; Lu Zhengyu ; Zhang Xiaoli

Author_Institution

Coll. of Electr. Eng., Zhejiang Univ., Hangzhou, China

fYear

2011

fDate

3-5 Aug. 2011

Firstpage

61

Lastpage

65

Abstract

This paper discusses the robust H_∞ control problem for discrete-time switched interval system. The multiple Lyapunov function method is combined with the Finsler´s Lemma to generate several new results which provide extra degree of freedom for stability analysis and control synthesis. A new sufficient condition is obtained for the unforced discrete-time switched interval system, then, based on the above discussion, the robust H_∞ control synthesis via state feedback is studied for the closed-loop switched interval system. Finally, two simulation examples are given to illustrate the validity of the results.

Keywords

H^∞ control; Lyapunov methods; closed loop systems; control system synthesis; discrete time systems; robust control; state feedback; time-varying systems; closed-loop switched interval system; control synthesis; discrete-time switched interval system; multiple Lyapunov function method; robust H_∞ control; stability analysis; state feedback; Attenuation; Lyapunov methods; Robustness; Stability analysis; Switched systems; Switches; multiple Lyapunov function; robust H∞ control; switched interval system;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science & Education (ICCSE), 2011 6th International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-9717-1

Type

conf

DOI

10.1109/ICCSE.2011.6028585

Filename

6028585