Design and stability analysis of fuzzy model based nonlinear controller for nonlinear systems using genetic algorithm

Author

Lam, H.K. ; Leung, F.H.F. ; Tam, P.K.S.

Author_Institution

Centre for Multimedia Signal Process., Hong Kong Polytech. Univ., Kowloon, China

Volume

1

fYear

2002

fDate

6/24/1905 12:00:00 AM

Firstpage

232

Lastpage

237

Abstract

This paper presents the stability analysis of fuzzy model based nonlinear control systems, and the design of nonlinear gains and feedback gains of the nonlinear controller using genetic algorithm with arithmetic crossover and nonuniform mutation. A stability condition is derived based on the Lyapunov stability theory with a smaller number of Lyapunov conditions. The solution of the stability conditions are also determined using GA. An application example of stabilizing a cart-pole type inverted pendulum system is given to show the stabilizability of the nonlinear controller

Keywords

Lyapunov methods; feedback; fuzzy control; genetic algorithms; nonlinear control systems; pendulums; stability; Lyapunov method; arithmetic crossover; cart-pole type; feedback gains; fuzzy model; genetic algorithm; inverted pendulum; mutation; nonlinear control systems; nonlinear gains; stability analysis; stabilizability; Algorithm design and analysis; Arithmetic; Feedback; Fuzzy control; Fuzzy systems; Genetic algorithms; Genetic mutations; Lyapunov method; Nonlinear control systems; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2002. FUZZ-IEEE'02. Proceedings of the 2002 IEEE International Conference on

Conference_Location

Honolulu, HI

Print_ISBN

0-7803-7280-8

Type

conf

DOI

10.1109/FUZZ.2002.1004992

Filename

1004992