Abstract: Combining both kinds of fuzzy logic forms including fuzzy T S model and adaptive fuzzy logic systems, this paper presents an adaptive control scheme for a class of nonlinear systems. The fuzzy T S model is used to approximate the nonlinear systems, and the fuzzy control law of the fuzzy model is derived from the linear matrix inequality. The adaptive fuzzy logic systems are then constructed, and the modeling errors eliminated with a compensator based on the adaptive fuzzy logic systems. It is proved that the closed loop system satisfies the anticipated H∞ performance. Simulation results demonstrate that the control scheme is effective.

Key words: fuzzy T S model, adaptive fuzzy logic systems, nonlinear systems