Title :
Finite-time stability of switched systems
Author :
Sheng, Wenbo ; Zhang, Xiaoli
Author_Institution :
Dept. of Autom., Xiamen Univ., Xiamen, China
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6242934
