Title :
Control Lyapunov functions for switched control systems
Author :
Sun, Hongfei ; Zhao, Jun
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
The concept of control Lyapunov functions for nonlinear control systems is generalized to switched control systems. The existence of a control Lyapunov function is shown to be sufficient for a switched control system to be globally asymptotically. stabilizable. For switched systems affine in control, the control law and switching law are explicitly constructed. Quadratic control Lyapunov functions are also studied
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; time-varying systems; affine control; control law; globally asymptotically stabilizable system; quadratic control Lyapunov functions; stabilization; switched control systems; switching law; Control systems; Information science; Lyapunov method; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Stability; State feedback; Sun; Switched systems;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946014