Title :
Robust control for nonlinear uncertain systems using parameter dependent Lyapunov functions
Author :
Yue Zhi ; Jinyong Yu ; Jianhua Lu
Author_Institution :
Dept. of Control Eng., Naval Aeronaut. & Astronaut. Univ., Yantai, China
Abstract :
This note provides sufficient robust stability conditions for continuous time polytopic nonlinear systems. Parameter-dependent Lyapunov function is introduced in order to make possible the state feedback robust controller synthesis, and less conservative sufficient conditions are formulated in terms of nonlinear state dependent matrix inequalities. These conditions can be verified by the technique of sum of squares (SOS) approach. Mathematical simulation results demonstrate the effectiveness and feasibility of the proposed method.
Keywords :
Lyapunov methods; continuous time systems; control system synthesis; matrix algebra; nonlinear control systems; robust control; state feedback; uncertain systems; continuous time polytopic nonlinear system; nonlinear state dependent matrix inequalities; nonlinear uncertain system; parameter dependent Lyapunov function; robust stability; state feedback robust controller synthesis; sum of squares approach; Lyapunov methods; Nonlinear systems; Optimization; Polynomials; Robust stability; Robustness; State feedback;
Conference_Titel :
Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4799-4700-3
DOI :
10.1109/CGNCC.2014.7007466
