[1]张香燕,张乃尧.π型隶属函数的典型模糊控制器的解析结构[J].智能系统学报,2008,3(1):31-37.
ZHANG Xiang-yan,ZHANG Nai-yao.Analytical structure of a classic fuzzy controller with π membership functions[J].CAAI Transactions on Intelligent Systems,2008,3(1):31-37.
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《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
3
期数:
2008年第1期
页码:
31-37
栏目:
学术论文—智能系统
出版日期:
2008-02-25
- Title:
-
Analytical structure of a classic fuzzy controller with π membership functions
- 文章编号:
-
1673-4785(2008)01-0031-07
- 作者:
-
张香燕,张乃尧
-
清华大学自动化系,北京100084
- Author(s):
-
ZHANG Xiang-yan, ZHANG Nai-yao
-
Department of Automation, Tsinghua University, Beijing 100084, China
-
- 关键词:
-
典型模糊控制器; 型隶属函数; 解析结构
- Keywords:
-
classic fuzzy controller; π membership function ; analyt ical structure
- 分类号:
-
TP273
- 文献标志码:
-
A
- 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.
- Abstract:
-
A new classic fuzzy controller with π membership functions is proposed. The π function, a spline function with twoorder approximation, has been widely u sed in approximation theory. Since fuzzy controllers with triangular membership functions are only universal approximators with only firstorder approximation accuracy, it is very valuable to study the property of fuzzy controllers with me mbership functions. In this paper, we define the new fuzzy controller, deduce it s output expression and prove that the controller is equivalent to an integratio n of a twodimensional multilevel relay and a local nonlinear PD controller. On th is basis, we finally analyze the limiting and nonlinear properties of the contro ller.
备注/Memo
收稿日期:2007-06-22.
基金项目: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)
作者简介:
张香燕,女,1982年生,博士研究生,主要研究方向为模糊系统与分层模糊系统,在国内外期刊和会议上共发表文章5篇.
张乃尧,男,1946年生,教授,博士生导师,主要研究方向为模糊控制理论及应用、机器人足球、音乐情感识别等. 已发表论文100余篇,其中被SCI检索10余篇,EI检索30余篇.
通讯作者:张香燕.E-mail:zhangxiangyan03@mails.tsi rghua.e du.cn.
更新日期/Last Update:
2009-05-10