Fuzzy guaranteed cost and H∞ robust control for discrete-time uncertain system with state and input time-delay based on fuzzy model

This paper deals with a problem on fuzzy guaranteed cost and H. robust control for discrete-time uncertain system with state and input tine-delay described by T-S model. First, we presented and proved a sufficient condition by a proper Lyapunov function such that the closed-loop system is robust stable, and satisfies H. norm bound; meanwhile, a given cost function has upper bound; Next, we designed a fuzzy guaranteed cost and H-infinity robust controller such that the closed-loop system is robust stable and satisfies proper performances. The design method is given in terms of solving LMIs.