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  

Structure Analysis of Typical Fuzzy Controllers with Nonlinear Rules and Unevenly Distributed Membership Functions for Input and Output Variables

作　　者：范醒哲[1] 张乃尧[1] 

机构地区：[1]清华大学自动化系,北京100084

出　　处：《控制理论与应用》2002年第1期46-52,共7页Control Theory & Applications

基　　金：国家自然科学基金 (60 1740 15 );清华大学基础研究基金资助项目

摘　　要：针对两输入 (e,Δe)一输出 (Δu)的典型模糊控制器 ,其输入变量采用三角形、全交迭、对称、不均匀分布的隶属函数 ,输出变量采用对称、不均匀分布的单点隶属函数 ,当采用非线性控制规则和Sum Product推理方法时 ,推导了输出的解析表达式 ,分析了其结构特性和极限特性 ,证明了此类模糊控制器具有通用逼近性 。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.

关 键 词：模糊控制 通用逼近性 非线性规则 不均匀分布 典型模糊控制器 结构分析 输入输出隶属函数 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]