Approaches to delay-dependent robust H∞ control of uncertain discrete-time T-S fuzzy systems with interval time-varying delay

This paper investigates the problem of delay-dependent robust H_infin state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust H_infin controller synthesis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.