Stability issues on Takagi-Sugeno fuzzy model-parametric approach

Author

Lo, Ji-Chang ; Chen, Yu-Min

Author_Institution

Dept. of Mech. Eng., Nat. Central Univ., Chung-Li, Taiwan

Volume

7

Issue

5

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

597

Lastpage

607

Abstract

The main objective of this research is to provide a systematic stability analysis technique for fuzzy systems using well-established results from robust stability of a family of polynomials. The model-based Takagi-Sugeno (1985) fuzzy control system is considered and shown to have a dependent coefficient structure involving firing strengths. Two Kharitonov regions via overbounding are established to facilitate the extreme results for stability test in the space of polynomials as well as the complex plane. The criterion obtained is a sufficient condition for a fuzzy logic controller. Three nonlinear examples are demonstrated to show that the systematic approach proposed here can be used to solve fuzzy stability problems. Fuzzy users concerned over stability issues may find these analytic tools useful

Keywords

control system analysis; fuzzy control; polynomials; robust control; Kharitonov regions; dependent coefficient structure; firing strengths; fuzzy logic controller; fuzzy model; fuzzy stability problems; model-based Takagi-Sugeno fuzzy control system; overbounding; parametric approach; polynomials; robust stability; systematic stability analysis technique; Fuzzy control; Fuzzy logic; Fuzzy systems; Polynomials; Robust stability; Sliding mode control; Stability analysis; Sufficient conditions; Takagi-Sugeno model; Testing;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.797982

Filename

797982