Title :
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
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;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.551722
