Title :
Robust dichotomy for nonlinear uncertain systems
Author :
Jinzhi Wang ; Zhisheng Duan ; Lin Huang
Author_Institution :
Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China
Abstract :
In this paper, properties of dichotomy for nonlinear systems with norm-bounded uncertainty are considered. By using some results of H∞ theory and method of linear matrix inequality (LMI) some criterions of testing robust dichotomy of uncertain nonlinear systems are given. An approach of designing state feedback controller guaranteeing dichotomy of closed loop systems with norm-bounded uncertainty is proposed. The given results are applied to Chua´s circuit. A numerical algorithm of designing a controller guaranteeing dichotomy of the closed-loop system is presented which enlarges the range of some parameters.
Keywords :
H∞ control; closed loop systems; control system synthesis; linear matrix inequalities; nonlinear control systems; robust control; state feedback; uncertain systems; Chua circuit; H∞ theory; closed loop system; controller design; linear matrix inequality; nonlinear uncertain system; norm-bounded uncertainty; numerical algorithm; robust dichotomy; state feedback controller; Circuit testing; Closed loop systems; Control systems; Linear matrix inequalities; Nonlinear systems; Robustness; State feedback; System testing; Uncertain systems; Uncertainty; H?? norm; Linear matrix inequality; Robust dichotomy; Uncertain nonlinear systems;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280928
