Robust H∞ Control for Discrete Time-Delay Fuzzy Systems

This paper is concerned with the robust H_∞ control problem of norm bounded uncertain T-S fuzzy systems with state delay. First, by using a new basis-dependent Lyapunov-Krasovskii function, a sufficient condition is derived on H_∞ -disturbance attenuation, both system stability and prescribed H_∞ performance are required to be achieved. Then, based on the criterion, a robust H_∞ controller is developed in term of linear matrix inequality (LMI). The development represents a step towards reducing the conservatism of previous design methods. Finally, a design example illustrates the effectiveness of the proposed method.