New Delay-dependent Robust Stability for T-S Fuzzy Systems with Interval Time-varying Delay

In order to alleviate the conservativeness of the robust stability criterion, the delay-dependent stability problem for uncertain T-S fuzzy time-delay systems with interval time-varying delay is to be investigated in this paper. A new Lyapunov-Krasovskii function and a further improved free-weighing matrix approach are used to analyze the stability. A new less conservative robust stability criterion is obtained. Numerical examples are given to illustrate the less conservativeness and effectiveness of our method.