A delay-dependent stability criteria for T-S fuzzy system with time-delays

Authors:	Guan Xinping, Yanshan University, China Li Fenglei, Yanshan University, China Chen Cailian, City University of Hong Kong, Hong Kong
Topic:	3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.)
Session:	Fuzzy Control: Stability
Keywords:	delay-dependent stability; Takagi--Sugeno (T--S) fuzzy system; Linear Matrix Inequality(LMI); Leibniz-Newton formula

Abstract

This paper addresses the criterion of delay-dependent stability for nonlinear systems with time-delays which can be represented by Takagi--Sugeno (T--S) fuzzy model with time-delays. Based on Leibniz-Newton formula, the effect of states and the delay states to the stability is considered to construct a Lyapunov functional and to form some special equations, which facilitate proposing a new delay-dependent stability criterion with less conservatism compared with the existing methods, which breaked through the limit to the varying ratio of time-delay. An illustrative example is presented to demonstrate the validity of the proposed stability criterion.