Robust H-infinity control for discrete-time T-S fuzzy systems with input delay

Abstract

Delay-dependent robust H-infinity control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with interval time-varying input delay is considered. By constructing a new Lyapunov-Krasovskii functional and using convex combination method, a delay-dependent condition is established, under which the resulted closed-loop systems via a fuzzy state feedback are robust asymptotically stable with given H-infinity norm bound. Then, an iterative algorithm based on the modified SLPMM algorithm is proposed to solve the fuzzy H-infinity controller. Finally, a numerical example is used to illustrate the effectiveness and feasibility of the approaches proposed.