Title :
Global stabilization of an enlarged class of cascade nonlinear systems
Author :
Jankovic, Mrdjan ; Sepulchre, Rodolphe ; Kokotovic, Petar V.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
We present a new approach to design controllers for global asymptotic stabilization of cascade and feedforward nonlinear systems. First we give conditions for global stability and construct a continuously differentiable Lyapunov function for a class of uncontrolled cascade systems. We use this Lyapunov function to design globally asymptotically stabilizing feedback laws for controlled cascade systems and, by applying the method recursively, for feedforward systems
Keywords :
Lyapunov methods; asymptotic stability; cascade systems; feedback; feedforward; nonlinear systems; Lyapunov function; asymptotic stability; cascade nonlinear systems; feedback; feedforward nonlinear systems; feedforward systems; global stabilization; Asymptotic stability; Control systems; Feedforward systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Passivation; State feedback;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480216