Quadratic stabilizability of discrete-time switched systems via state and output feedback

Author

Zhai, Guisheng

Author_Institution

Fac. of Syst. Eng., Wakayama Univ., Japan

Volume

3

fYear

2001

fDate

2001

Firstpage

2165

Abstract

We study quadratic stabilizability via state and output feedback for switched systems composed of several discrete-time linear time-invariant subsystems, under the assumption that all subsystem matrices are unstable. We derive a sufficient condition expressed as a matrix inequality under which the switched system is quadratically stabilizable via a state-based switching strategy, and we show that the sufficient condition is also necessary if the number of subsystems is two. When a robust detectability condition is satisfied in addition to the sufficient condition, we construct a quadratically stabilizing switching strategy based on the measurement output

Keywords

discrete time systems; feedback; linear systems; matrix algebra; stability; switching; discrete-time linear time-invariant subsystems; discrete-time switched systems; matrix inequality; measurement output; necessary condition; output feedback; quadratic stabilizability; robust detectability condition; state feedback; state-based switching strategy; sufficient condition; unstable subsystem matrices; Artificial intelligence; Linear matrix inequalities; Lyapunov method; Output feedback; Robustness; State feedback; Sufficient conditions; Switched systems; Systems engineering and theory; Zinc;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980575

Filename

980575