Title :
Stabilization of Switched Systems via Common Lyapunov Function
Author :
Cheng, Daizhan ; Zhu, Yahong ; Hu, Qingxi
Author_Institution :
Inst. of Syst. Sci., Chinese Acad. of Sci., Beijing
Abstract :
This paper considers the stabilization of some types of switched control systems via common Lyapunov functions. Firstly, the stabilization of switched nonlinear systems is considered. A design technique of Lyapunov functions is introduced to stabilize the system under arbitrary switching laws. Secondly, the stabilization of switched linear systems is considered. Assume switching strategy and control are designable. Suitable common Lyapunov functions are proposed to assure the stability of the closed-loop systems
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; linear systems; nonlinear control systems; stability; time-varying systems; closed-loop systems; common lyapunov function; stabilization; switched control systems; switched linear systems; switched nonlinear systems; switching laws; Control systems; Equations; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Stability; Switched systems; Vectors;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712297