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

fYear

2014

fDate

8-10 Aug. 2014

Firstpage

1873

Lastpage

1876

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese

Conference_Location

Yantai

Print_ISBN

978-1-4799-4700-3

Type

conf

DOI

10.1109/CGNCC.2014.7007466

Filename

7007466