Continuity of fuzzy approximate reasoning and its application to optimization

被引：0

作者：

Mitsuishi, Takashi ^{[1
]}

Shidama, Asunari ^{[2
]}

机构：

[1] Univ Mkt & Distribut Sci, Kobe, Hyogo 6512188, Japan

[2] Shinshu Univ, Nagano 3808553, Japan

来源：

AI 2007: ADVANCES IN ARTIFICIAL INTELLIGENCE, PROCEEDINGS | 2007年 / 4830卷

基金：

日本学术振兴会;

关键词：

fuzzy control; Nakamori model; optimization; functional analysis;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper describes a mathematical framework for studying a nonlinear feedback control. The fuzzy control discussed here is the nonlinear feedback control in which the feedback laws are determined by IF-THEN type fuzzy production rules through approximate reasoning introduced by Nakamori. To prove existence of optimal control, we applied compactness of a set of membership functions in L-2 space and continuity of the approximate reasoning, and prepared some propositions concerning approximate reasoning of Nakamori model. By considering fuzzy optimal control problems as problems of finding the minimum (maximum) value of the integral cost (benefit) function on an appropriate set of membership functions, the existence of fuzzy optimal control is shown.

引用

页码：529 / +

页数：3

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