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n阶系统的fuzzy推理建模方法研究
引用本文:宋雯彦,王加银,李洪兴. n阶系统的fuzzy推理建模方法研究[J]. 系统工程学报, 2010, 25(1). DOI: 10.3969/j.issn.1000-5781.2010.01.003
作者姓名:宋雯彦  王加银  李洪兴
作者单位:1. 东北财经大学数学与数量经济学院,辽宁,大连,116025
2. 北京师范大学数学科学学院,北京,100875
3. 大连理工大学电子与信息工程学院,辽宁,大连,116024
基金项目:国家自然科学基金资助项目 
摘    要:把fuzzy推理建模法用于对一般n阶系统的建模中,分别建立了研究对象的输入输出型模型和状态空间型模型.在此基础上,对fuzzy推理建模法做了进一步的推广,分别选用梯形和"三角波"型fuzzy集隶属函数构造系统的微分方程模型,并通过仿真试验对两种模型进行了比较.

关 键 词:fuzzy推理建模法  插值机理  HX方程  非线性微分方程

Research of modeling method based on fuzzy in ference for n-order systems
SONG Wen-yan,WANG Jia-yin,LI Hong-xing. Research of modeling method based on fuzzy in ference for n-order systems[J]. Journal of Systems Engineering, 2010, 25(1). DOI: 10.3969/j.issn.1000-5781.2010.01.003
Authors:SONG Wen-yan  WANG Jia-yin  LI Hong-xing
Affiliation:SONG Wen-yan1,WANG Jia-yin2,LI Hong-xing3(1.Department of Quantitative Economics,Dongbei University of Finance & Economics,Dalian 116025,China,2.School of Mathematics Sciences,Beijing Normal University,Beijing 100875,3.School of Electronic , Information Engineering,Dalian University of Technology,Dalian 116024,China)
Abstract:Modeling method based on fuzzy inference is used for building models of n-order systems in this paper.Input-output models and state space models of research objects are established respectively.By using trapezia shape membership functions and triangle wave shape membership functions,modeling methods based on fuzzy inference are expanded.Besides,two differential equation models of the same system are compared through simulation instances.
Keywords:modeling method based on fuzzy inference  interpolation mechanism  HX equation  nonlinear differential equation
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