Adaptive control using the fuzzy basis function with robust design

This paper presents the structure of model reference adaptive control based on fuzzy basis function. Initially, the techniques of fuzzy basis function are introduced to approach uncertain (or unknown) nonlinear systems. In addition, a heuristic adaptive algorithm, which is robust feature under the Lyapunov stability criterion is developed so that the output of the plant tracks a reference model output or follows another signal. As a result, the linear combination of the fuzzy basis function can approximate any nonlinear continuous function to any arbitrary accuracy that is substantiated by the Stone Weierstrass theorem. Two examples are given to illustrate the performance of the proposed method. Computer simulation results confirm that the proposed method not only satisfied tracking performance, but it also is vigorously robust.