基于模糊变换的模糊系统和模糊推理建模法

doi:10.3969/j.issn.0372-2112.2013.04.008

电子学报 ›› 2013, Vol. 41 ›› Issue (4): 674-680.DOI: 10.3969/j.issn.0372-2112.2013.04.008

基于模糊变换的模糊系统和模糊推理建模法

袁学海, 李洪兴, 杨雪

大连理工大学控制科学与工程学院,辽宁大连 116024

收稿日期:2011-12-01 修回日期:2012-12-03 出版日期:2013-04-25
- 作者简介:
- 袁学海 男,1960年8月生于辽宁省喀左县.1983年和1991年分别在北京师范大学获理学学士和理学硕士学位,2006年在大连理工大学获理学博士学位.现为大连理工大学教授、博士生导师.研究方向:智能控制与模糊系统理论. E-mail:yuanxuehai@yahoo.com.cn 李洪兴 男,1953年生于天津.1992年于北京师范大学获理学博士学位.现为大连理工大学教授、博士生导师,主要研究方向为智能控制与模糊系统理论.
- 基金资助:
- 国家自然科学基金 (No.90818025,No.61074044)

Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation

YUAN Xue-hai, LI Hong-xing, YANG Xue

School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China

Received:2011-12-01 Revised:2012-12-03 Online:2013-04-25 Published:2013-04-25

摘要/Abstract

摘要： 首先针对双输入单输出模糊系统提出了一种模糊变换方法,指出这种模糊变换不仅与单输入和单输出模糊系统有密切的联系,而且利用这种模糊变换构造的模糊系统具有很好的泛逼近性.然后将这种模糊变换应用到模糊推理建模法中,导出了所研究的模糊系统的微分方程模型和状态空间模型,从而给出了一种新的模糊推理建模法.理论分析和仿真实验均表明:利用模糊变换构造的微分方程对所研究的模糊系统具有很好的泛逼近性.

关键词: 模糊控制, 模糊变换, 泛逼近性, HX方程, 状态空间模型

Abstract: In this paper,we puts forward a fuzzy transformation method for double-input-single-output fuzzy system,and points out that not only this fuzzy transformation has intimate connections with single-input-single-output fuzzy systems,but also the fuzzy system constructed with this fuzzy transformation has good universal approximation.By applying the fuzzy transformation to the fuzzy reasoning modeling method,we establish a new fuzzy reasoning modeling method and derive the differential equation model and the state-space model for the system which is studied.The theoretical analysis and simulate experiment show that the differential equations based on fuzzy transformation have good universal approximation.

Key words: fuzzy control, fuzzy transformation, universal approximation, differential equations, state space model

中图分类号:

TP13

袁学海, 李洪兴, 杨雪. 基于模糊变换的模糊系统和模糊推理建模法[J]. 电子学报, 2013, 41(4): 674-680.

YUAN Xue-hai, LI Hong-xing, YANG Xue. Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation[J]. Acta Electronica Sinica, 2013, 41(4): 674-680.

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基于模糊变换的模糊系统和模糊推理建模法

Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation

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