ROBUST DELAY-DEPENDENT STABILITY FOR TAKAGI-SUGENO FUZZY SYSTEMS WITH MIXED TIME-VARYING DELAYS

This study presents the problem of robust stability analysis for the Takagi-Sugeno (T-S) fuzzy systems with mixed time-varying delays. In the proposed T-S fuzzy system, there occurred discrete and distributed time delays that are taken in account as mixed time varying delays. Based on the refined Lyapunov-Krasovskii functional which contains the information of the upper and lower bounds of time-varying delays, robust stability conditions of delay-dependent T-S fuzzy system are derived in terms of the linear matrix inequalities. The obtained delay-dependent conditions ensure the robustly asymptotically stability of the proposed delayed T-S fuzzy systems. Finally, numerical examples are given to show the superiority of the derived sufficient conditions.