Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay

This paper is concerned with the stability analysis of Takagi-Sugeno (T-S) fuzzy systems with time varying delays by using novel quadratic Lyapunov-Krasovskii functionals. The novel Lyapunov-Krasovskii functionals comes from some existing ones employed in the previous results and add another part which is constructed by dividing the delay range into several segments and choosing proper functionals with free weighted matrices corresponding to different segments. Then using these delay partitioning idea, some new delay-range-dependent stability criteria are derived for T-S fuzzy systems. All the sufficient conditions are established in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using the LMI algorithm. It is shown that these criteria for T-S fuzzy systems with time varying delays are always less conservative than the previous results. Two numerical examples are given to illustrate the less conservatism of the proposed method.