General and Less Conservative Criteria on Stability and Stabilization of T-S Fuzzy Systems With Time-Varying Delay

This article deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. First, a novel Lyapunov-Krasovskii functional is constructed, which is dependent on membership functions and takes more information on the time-varying delay into account. Next, based on an N-order free-matrix-based integral inequality and a switching method, a cluster of criteria on the stability and stabilization are obtained for the closed-loop system connected with switching state-feedback controllers. Then, a parameter tuning method and an iterative algorithm are devised to calculate control gains. Finally, three numerical examples including the truck-trailer system are given to show that the proposed criteria can offer less conservative results than some existing ones.