Adaptive Fuzzy Control for a Class of Nonlinear Systems using Small-gain Theorem

The problem of adaptive fuzzy control for a class of nonlinear systems is studied in this paper. The T-S fuzzy model is employed to approximate the nonlinear unknown function. Based on the principle of supervisory control, a novel adaptive fuzzy control strategy with supervisory controller is developed. With the help of a supervisory controller, the resulting closed-loop system is globally stable in the sense that all signals involved are uniformly bounded. Finally, by input-to-state stability (ISS) approach and small-gain theorem, theoretical analysis verifies that tracking error converges to zero. Simulation results illustrate the effectiveness of the proposed approach