【摘要】 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更多还原

【Abstract】 Typical fuzzy controllers with two inputs and one output use full overlapped symmetrical triangular membership functions for the input variables; equally spaced singleton membership functions for the output variable; linear fuzzy control rules; the Sum Product inference method; and the center of area (COA) method for defuzzification. This paper proves that the analytical structure of typical fuzzy controllers is the sum of a global two dimensional multi level relay and a local linear PD controller. The output are given expressions for a typical fuzzy controller with five fuzzy sets for the input variables. These results are employed in a simulation of the model reference adaptive fuzzy control of an inverted pendulum.更多还原