Finite-time stability of switched systems

Author

Sheng, Wenbo ; Zhang, Xiaoli

Author_Institution

Dept. of Autom., Xiamen Univ., Xiamen, China

fYear

2012

fDate

23-25 May 2012

Firstpage

270

Lastpage

274

Abstract

The finite-time stability of switched linear systems which contain both Hurwitz stable subsystems and unstable subsystems is researched in this paper. Firstly, the definition of finite-time stability is introduced. Then, based on the average dwell-time concept and by using the idea of specifying the total activation time period ration between the Hurwitz stable subsystems and unstable subsystems, some sufficient conditions for the finite-time stability are gotten. The problem of switched nonlinear systems through designing state feedback controllers is also studied. The sufficient conditions for finite-time stability of switched nonlinear systems are expressed through the forms of polynomial matrix inequalities which can be solved by means of SOSTOOLS. Finally, two examples are presented to show the validity of the results.

Keywords

nonlinear control systems; polynomial matrices; stability; state feedback; time-varying systems; Hurwitz stable subsystems; Hurwitz unstable subsystems; SOSTOOLS; average dwell-time concept; finite-time stability; polynomial matrix inequalities; state feedback controllers design; switched linear systems; switched nonlinear systems; total activation time period ration; Asymptotic stability; Lyapunov methods; Nonlinear systems; Polynomials; Stability criteria; Switches; average dwell-time; finite-time stability; nonlinear systems; sum of squares; switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6242934

Filename

6242934