π型隶属函数的典型模糊控制器的解析结构  

Analytical structure of a classic fuzzy controller with π membership functions

作　　者：张香燕[1] 张乃尧[1] 

机构地区：[1]清华大学自动化系,北京100084

出　　处：《智能系统学报》2008年第1期31-37,共7页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金资助项目(60474024);教育部博士点专项基金资助项目(20040003106)

摘　　要：研究了一种新型的典型模糊控制器,它的输入隶属函数采用π型样条函数,具有二阶逼近特性,而一般典型模糊控制器采用的三角形隶属函数只具有一阶逼近特性,因此研究这种新型的模糊控制器具有重要的意义.文章首先给出了该类典型模糊控制器的定义,推导了它的解析表达式,证明了该类典型模糊控制器可以等效为一个全局的二维继电器和一个局部的非线性PD控制器之和.在此基础上,给出了其极限特性和非线性特性.A new classic fuzzy controller with π membership functions is proposed. The π function, a spline function with two-order approximation, has been widely used in approximation theory. Since fuzzy controllers with triangular membership functions are only universal approximators with only first-order approximation accuracy, it is very valuable to study the property of fuzzy controllers with membership functions. In this paper, we define the new fuzzy controller, deduce its output expression and prove that the controller is equivalent to an integration of a two-dimensional multilevel relay and a local nonlinear PD controller. On this basis, we finally analyze the limiting and nonlinear properties of the controller.

关 键 词：典型模糊控制器 型隶属函数 解析结构 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]