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基于Fuzzy推理的时变系统建模
引用本文:李洪兴,宋雯彦,袁学海,李宇成.基于Fuzzy推理的时变系统建模[J].系统科学与数学,2009,29(8):1109-1128.
作者姓名:李洪兴  宋雯彦  袁学海  李宇成
作者单位:1. 大连理工大学电子与信息工程学院,大连,116024;北方工业大学自动化系,北京,100041
2. 东北财经大学数学与数量经济学院,大连,116025
3. 大连理工大学电子与信息工程学院,大连,116024
4. 北方工业大学自动化系,北京,100041
基金项目:国家自然科学基金(60774049)资助课题 
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.

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.
收稿时间:2007-6-18
修稿时间:2009-2-5

TIME-VARYING SYSTEM MODELING METHOD BASED ON FUZZY INFERENCE
Institution:(1)Dalian University of Technology, Dalian 116024; North China University of Technology, Beijing 100041;(2)Dongbei University of Finance and Economics, Dalian 116025;(3)Dalian University of Technology, Dalian 116024;(4)North China University of Technology, Beijing 100041.
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.
Keywords: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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