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输入隶属函数不均匀分布时典型模糊控制器的结构分析
引用本文:李宁,张乃尧,靳开岩.输入隶属函数不均匀分布时典型模糊控制器的结构分析[J].清华大学学报(自然科学版),2000,40(1).
作者姓名:李宁  张乃尧  靳开岩
作者单位:清华大学,自动化系,北京,100084
基金项目:国家自然科学基金项目! (6 97740 1 5 )
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

关 键 词:模糊控制  结构分析  非线性度  模型参考自适应控制

Structure analysis of typical fuzzy controllers with unevenly distributed input membership functions
LI Ning,ZHANG Naiyao,JIN Kaiyan.Structure analysis of typical fuzzy controllers with unevenly distributed input membership functions[J].Journal of Tsinghua University(Science and Technology),2000,40(1).
Authors:LI Ning  ZHANG Naiyao  JIN Kaiyan
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.
Keywords:fuzzy  control  structure analysis  nonlinearity  model reference adaptive control
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