Structure Analysis of Typical Fuzzy Controllers with Nonlinear Rules and Unevenly Distributed Membership Functions for Input and Output Variables
采用非线性规则和不均匀分布的输入输出隶属函数时典型模糊控制器的结构分析

A class of typical fuzzy controllers with two inputs and one output is defined in terms of nonlinear control rules, unevenly distributed input and output membership functions, Sum Product reasoning method, and weighted mean method for defuzzification. It is proved that the output of the controller is a combination of a global two dimensional multilevel relay and a local nonlinear controller. On this basis, the structure characteristics and limit characteristics of the typical fuzzy controllers are studied, the universal approximation capability of the typical fuzzy controllers is constructively proved. Finally, the local stability of typical fuzzy control systems is also discussed.