Title :
Robust stabilization problem for a class of nonlinear singular systems with uncertainty
Author :
Su, Xiaoming ; Kang, Xiaoqi ; Li, Haopeng
Author_Institution :
Sch. of Sci., Shenyang Univ. of Technol., Shenyang, China
Abstract :
This paper discusses robust stabilization problem for nonlinear singular system with the uncertain parameters. First of all, the definitions of the nonlinear singular system with uncertainties robust stability and stabilization have been given, and then the method of how to design the state feedback robust controller is given by studying robust stability of the system with linear matrix inequality (LMI) method and Lyapunov theory, a sufficient condition for robust stability of the system with all the admissible uncertainties is obtained. Finally, feasibility and effectiveness of the designing have been verified by the programs which are solved by MATLAB algorithm.
Keywords :
Lyapunov methods; linear matrix inequalities; nonlinear control systems; robust control; state feedback; uncertain systems; Lyapunov theory; linear matrix inequality; nonlinear singular systems; robust stability; robust stabilization problem; state feedback robust controller; uncertain parameters; Control systems; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; Robust control; Robust stability; Robustness; State feedback; Sufficient conditions; Uncertainty; LMI; Nonlinear Systems; Robust Stabilization; Singular Systems; Uncertainty;
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.2009.5192202
