Controller design for a class of nonlinear fuzzy time-varying delay systems

The problem of fuzzy modeling for state and input time-varying Delay systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed. Utilizing LMI (linear matrix inequality), the problem of fuzzy robust H
∞
controller design for the systems is studied. Assuming that the nonlinear uncertain functions in the model considered are gain-bounded, we obtain a sufficient condition for the robustly asymptotic stability of the closed-loop system via Lyapunov stability theory. By solving the LMI, we construct a feedback control law which guarantees the robustly asymptotic stability of the closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed level.