Title :
Stabilization for a collection of feedback linearizable systems
Author :
Cai, Xiushan ; Lin, Lihua ; Lin, Rong ; Su, Shaoqing ; Dai, Pingfan
Author_Institution :
Dept. of Math. & Comput. Sci., Sanming Coll., Sanming, China
Abstract :
Stabilization for a collection of feedback linearizable systems with uncertain parameter is dealt with in this paper. Necessary and sufficient conditions for a quadratic control Lyapunov function to be a common control Lyapunov function for these systems are obtained. A continuous state feedback control is designed based on the common control Lyapunov function. It can simultaneously stabilize these systems. Finally, the effectiveness of the proposed scheme is illustrated by a simulation example.
Keywords :
Lyapunov methods; control system synthesis; nonlinear control systems; stability; state feedback; common control Lyapunov function; continuous state feedback control; feedback linearizable systems; nonlinear systems stabilization; quadratic control; uncertain parameter; Computer science; Control systems; Educational institutions; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems; State feedback; Sufficient conditions; Uncertainty; control Lyapunov function; nonlinear systems; stabilization; state feedback;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5192216
