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典型T-S模糊系统是通用逼近器*

曾珂 张乃尧 徐文立

控制理论与应用2001,Vol.18Issue(2):293-297,5.
控制理论与应用2001,Vol.18Issue(2):293-297,5.

典型T-S模糊系统是通用逼近器*

Typical T-S Fuzzy Systems Are Universal Approximators

曾珂 1张乃尧 1徐文立1

作者信息

  • 1. 清华大学自动化系
  • 折叠

摘要

Abstract

The multi-input single-output T-Sfuzzy systems investigated in this paper,named as typical T-Sfuzzy systems,use linear functions of input variables as rule consequents.On the condition that fuzzy sets of each input variable are consistent and all the membership functions are continuous and piecewise differentiable,we proved that typical T-S fuzzy systems are universal approxiators.Based on the proof,we further pointed out that it's feasible to modify only the rule consequent parameters of typical T-S fuzzy systems when it carries out online learning,however the universal approximation capability is still ensured.

关键词

典型T-S模糊系统/通用逼近性/在线学习

分类

信息技术与安全科学

引用本文复制引用

曾珂,张乃尧,徐文立..典型T-S模糊系统是通用逼近器*[J].控制理论与应用,2001,18(2):293-297,5.

控制理论与应用

OA北大核心CSCD

1000-8152

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