针对两输入 (e,Δe)一输出 (u)的典型模糊控制器 ,输入隶属函数为三角形、全交迭、不均匀分布 ,输出隶属函数为单点、均匀分布 ,当采用线性控制规则和 Sum - Product推理方法时 ,证明了输出的解析表达式是一个全局的二维多值继电器与一个局部的线性 PD控制器的和。进而对最常用的输入变量各取 5个模糊集的情况进行了详细分析 ,并将理论结果应用于倒立摆的模型参考模糊自适应控制 For a typical fuzzy controller with two inputs (e, Δe) and one output (u), the input membership functions are triangles, totally overlapping and unevenly distributed. The output membership functions are single points and uniformly distributed. When using linear control rules and Sum - Product reasoning method, the analytical expression of the output is proved to be the sum of a global two-dimensional multivalue relay and a local linear PD controller. Then the most commonly used input variables are taken as five fuzzy sets, and the theoretical results are applied to the inverted pendulum model reference fuzzy adaptive control