Switching Stabilization and l2 Gain Performance Controller Synthesis for Discrete-Time Switched Linear Systems

Author

Lin, Hai ; Antsaklis, Panos J.

Author_Institution

Dept. of Electr. & Comput. Eng., National Univ. of Singapore

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

2673

Lastpage

2678

Abstract

In this paper, the switching controller synthesis problem for a class of discrete-time switched linear systems is considered. In particular, a state dependent switching law is designed to exponentially stabilize the switched systems, while a finite l₂ induced gain is achieved. Sufficient synthesis conditions are proposed as bilinear matrix inequalities, which are derived based on multiple Lyapunov functions

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; bilinear matrix inequality; discrete-time switched linear systems; exponential stability; gain performance controller synthesis; multiple Lyapunov functions; state dependent switching law; sufficient synthesis conditions; switched systems; switching controller synthesis; switching stabilization; Books; Control system synthesis; Linear matrix inequalities; Linear systems; Lyapunov method; Performance gain; Signal synthesis; Stability analysis; Switched systems; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377641

Filename

4177834