一种新的模糊控制器设计方法的研究

A New Method for Fuzzy Logic Controller Design

给出了隶属度函数曲线的矩心和形状系数的定义，提出了一种适合任意隶属度函数且类似于单值隶属度函数的模糊逻辑推理方法以及模糊逻辑推理与去模糊一体化的新方法。这种方法对不同规则的结论无需做单独的合成运算，而是通过简单的解析计算统一实现多规则推理结论的合成与去模糊，使模糊逻辑控制对任意隶属度函数都具有单值隶属度函数去模糊运算的简单性和快速性。

Based on the concepts of moment center and shape coef- ficient defined in this paper, a new unified method for fuzzy logic reasoning and defuzzification is developed. The new method is ap- plicable to arbitrarily complicated membership functions. It makes the fuzzy logic reasoning conclusion be an accurate value instead of the corresponding relationship obtained by Mamdani fuzzy logic rea- soning. The new unitied method is an analytical computational pro- cess for multi-rule fuzzy logic reasoning and defuzzilication. As a result, the new fuzzy logic controller is always as fast as the one with single value membership functions.