Adaptive Fuzzy Controller for a Class of Nonlinear Systems Using Tunable Triangular Membership Functions

概要

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In order to design an Adaptive Fuzzy Control System based on the Lyapunov synthesis approach, the fuzzy systems can be viewed as some fuzzy approximators to approximate the unknown functions in the control system. To enhance the quality of the control system, obviously, it needs to tune all parameters in the fuzzy approximators so that the approximation can be improved. On the other hand, fuzzy rules with triangular membership functions in the precedent of the fuzzy rules are used in many industrial control systems. However, how to stably tune the parameters involved in the triangular membership function is still an open problem. The goal of this paper is to design a controller for a class of nonlinear systems using triangular fuzzy functions. The adaptive laws to tune all the parameters in the system are developed. It is shown that the proposed adaptive controller guarantees tracking error, between outputs of the considered system and desired values, to be asymptotically in decay.
日本知能情報ファジィ学会の論文
2003-06-15