An approach to stabilization of uncertain fuzzy systems

Author

Tanaka, Kazuo ; Ikeda, Takayuki ; Wang, Hua

Author_Institution

Dept. of Mech. Syst. Eng., Kanazawa Univ., Japan

Volume

1

fYear

1996

fDate

8-11 Sep 1996

Firstpage

72

Abstract

This paper considers the stability analysis and design of fuzzy control systems for a class of uncertain nonlinear systems. First, the Takagi-Sugeno fuzzy model with uncertainty is defined. Next, stability conditions for a class of uncertain systems are collected from the robust control field. These conditions are drawn from theories of quadratic stabilization, H∞ control and linear matrix inequalities. These conditions are employed to derive stability conditions for a generalized class of uncertain systems. The derived stability conditions are then utilized for the robust stability analysis of the Takagi-Sugeno fuzzy systems controlled by parallel distributed compensations. Necessary and sufficient conditions are given for the quadratic stability of the nonlinear fuzzy control systems with uncertainty

Keywords

H^∞ control; compensation; fuzzy control; fuzzy logic; matrix algebra; nonlinear systems; robust control; uncertain systems; H∞ control; Takagi-Sugeno fuzzy model; fuzzy control; linear matrix inequality; necessary condition; parallel distributed compensations; robust control; stability analysis; stabilization; sufficient condition; uncertain nonlinear systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Robust control; Robust stability; Stability analysis; Takagi-Sugeno model; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on

Conference_Location

New Orleans, LA

Print_ISBN

0-7803-3645-3

Type

conf

DOI

10.1109/FUZZY.1996.551722

Filename

551722