Fuzzy adaptive ∞ H control for a class of uncertain nonlinear time - delay systems *

Abstract. Combining both kinds of fuzzy logic forms including fuzzy T-S model and adaptive fuzzy logic systems, this paper presents an observer-based ∞ H control scheme for a class of uncertain nonlinear timedelay systems. Firstly, the fuzzy T-S model is used to approximate the nonlinear systems, and an observer is designed to observe the system states, and the fuzzy control law of the fuzzy model is derived by the LMI. Secondly, the adaptive time-delay fuzzy logic systems are constructed, and the modeling errors and the uncertain nonlinear parts are eliminated by a compensator based on the adaptive time-delay fuzzy logic systems with three adjustable parameters: weights, centers and widths. It is proved that the closed loop system satisfies the anticipant ∞ H performance, The simulation results demonstrate that the control scheme is effective.