Title :
A new approach to stabilization of uncertain nonlinear systems
Author :
Liu, Kai ; Sun, Dengfeng ; Yao, Yu ; Balakrishnan, Venkataramanan
Author_Institution :
Control & Simulation Center, Harbin Inst. of Technol., Harbin, China
Abstract :
This paper presents a new robust stabilization method for a class of uncertain nonlinear systems[UNS] via piecewise linear differential inclusions[PWLDI]. We propose several effective numerical methods for computing the PWLDI to cover the UNS, then present controller design method of obtained PWLDI via piecewise quadratic Lyapunov function to realize robust stability. Because of the inclusion relationship between the obtained PWLDI and original UNS, the obtained controller is also effective to stabilize original UNS. Finally, We demonstrate the proposed design method through a numerical example.
Keywords :
Lyapunov methods; control system synthesis; nonlinear control systems; numerical analysis; stability; uncertain systems; controller design method; numerical methods; piecewise linear differential inclusions; piecewise quadratic Lyapunov function; robust stabilization method; uncertain nonlinear systems; Design methodology; Lyapunov methods; Nonlinear systems; Optimization; Robustness; Sliding mode control;
Conference_Titel :
Computer-Aided Control System Design (CACSD), 2011 IEEE International Symposium on
Conference_Location :
Denver, CO
Print_ISBN :
978-1-4577-1066-7
Electronic_ISBN :
978-1-4577-1067-4
DOI :
10.1109/CACSD.2011.6044540
