Improved delay-range-dependent stability analysis of a T-S Fuzzy system with time varying delay

Abstract

This paper presents a new & improved stability analysis for Takagi-Sugeno (T-S) Fuzzy system subjected to interval time-varying delay. The stability analysis provides a sufficient stability condition in an Linear Matrix Inequality (LMI) frame work that can estimate less conservative delay upper bound for a given lower bound of delay. The analysis is carried out by proposing new and modified Lyapunov-Krasovskii (L-K) functional along with the judicious use of Jensen's integral for eliminating the integral terms arising out from the time derivative of L-K functional, these modifications in turn leads to convex combination of the LMIs. Few numerical examples are included to illustrate the effectiveness of the obtained stability condition compared to some recently published stability conditions for different delay nature while delay is varying in intervals.