基于Fuzzy推理的时变系统建模

李洪兴;宋雯彦;袁学海;李宇成

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (8) : 1109-1128.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (8) : 1109-1128. DOI: 10.12341/jssms08444
论文

基于Fuzzy推理的时变系统建模

    李洪兴(1), 宋雯彦(2), 袁学海(3) , 李宇成(4)
作者信息 +

Time-Varying System Modeling Method Based on Fuzzy Inference

    LI Hongxing(1), SONG Wenyan(2), YUAN Xuehai(3) , LI Yucheng(4)
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摘要

提出一种基于Fuzzy推理的时变系统建模方法,其基本思想是:对时间维度进行分割,在每个较短的时间间隔内用时不变模型代替时变模型,将这些时不变模型组合在一起,最终获得一个整体非线性时变的微分方程模型.分别研究了输入输出型时变系统和状态空间型时变系统的模型建立方法,除了从理论上保证了所获得的模型对系统的逼近性,还从仿真实验验证了用该方法建立的模型对非线性时变系统有很好的逼近效果.

Abstract

A kind of modeling method for general time-varying systems, which uses modeling method based on fuzzy inference (MMFI), is proposed here. To get model of a time-varying system, firstly the time dimension divided into some periods, then in every short time interval, time-invariant model is used to approach the original time-varying system, in the end a time-varying nonlinear differential equation with variable coefficients is obtained. The processes of how to obtain the input-output type model and the state space type model are discussed in detail. In addition, a theory is given to ensure the approximation performance of HX equations. The simulation experiments show that the mathematical models formed by this method can approximate the general time-varying nonlinear systems with high accuracy.

关键词

Fuzzy推理建模法 / HX方程 / Fuzzy逻辑系统的插值机理 / 时变系统 / 输入输出型时变模型 / 状态空间型时变模型.

Key words

Modeling method based on fuzzy inference / HX equations / interpolation mechanism on fuzzy logic systems / time-varying systems / input-output time-varying model / state space time-varying model.

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导出引用
李洪兴 , 宋雯彦 , 袁学海 , 李宇成 . 基于Fuzzy推理的时变系统建模. 系统科学与数学, 2009, 29(8): 1109-1128. https://doi.org/10.12341/jssms08444
LI Hongxing , SONG Wenyan , YUAN Xuehai , LI Yucheng . Time-Varying System Modeling Method Based on Fuzzy Inference. Journal of Systems Science and Mathematical Sciences, 2009, 29(8): 1109-1128 https://doi.org/10.12341/jssms08444
中图分类号: 34B15   
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