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

Author

Lam, H.K. ; Leung, Frank H. ; Tam, Peter K S

Author_Institution

Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China

Volume

33

Issue

2

fYear

2003

fDate

4/1/2003 12:00:00 AM

Firstpage

250

Lastpage

257

Abstract

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

Keywords

Lyapunov methods; control system synthesis; feedback; fuzzy control; genetic algorithms; nonlinear control systems; pendulums; stability; Lyapunov conditions; Lyapunov stability theory; arithmetic crossover; cart pole typed inverted pendulum system; feedback gains; fuzzy model based nonlinear control systems; genetic algorithm; nonlinear gains; nonuniform mutation; stability analysis; stability condition; stabilizability; Algorithm design and analysis; Arithmetic; Control system synthesis; Feedback; Fuzzy control; Fuzzy systems; Genetic algorithms; Nonlinear control systems; Nonlinear systems; Stability analysis;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/TSMCB.2003.810440

Filename

1187436