A new approach to numerical stability analysis of fuzzy control systems

Author

Kim, Euntai

Author_Institution

Dept. of Control & Instrum. Eng., Hankyong Nat. Univ., Kyungki, South Korea

Volume

31

Issue

1

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

107

Lastpage

113

Abstract

The paper presents numerical methodology for the stability analysis of a fuzzy control system. The fuzzy control system analyzed is a closed-loop system controlled by a fuzzy logic controller (FLC) with singleton consequents. Compared with previous works based on numerical approaches (E. Kim et al., 1999), the method proposed in the paper employs two new strategies to release the conservatism of the previous methods: region-wise affine transformation and piecewise quadratic Lyapunov function. Finally, the effectiveness of the stability analysis is illustrated by a numerical example and its computer simulation

Keywords

Lyapunov methods; fuzzy control; fuzzy logic; numerical stability; quadratic programming; closed-loop system; computer simulation; conservatism; fuzzy control systems; fuzzy logic controller; numerical methodology; numerical stability analysis; piecewise quadratic Lyapunov function; region-wise affine transformation; singleton consequents; stability analysis; Adaptive control; Automatic control; Control system analysis; Control systems; Fuzzy control; Numerical stability; Programmable control; Sliding mode control; Stability analysis; Temperature control;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE Transactions on

Publisher

ieee

ISSN

1094-6977

Type

jour

DOI

10.1109/5326.923273

Filename

923273