Marginal linearization method in modeling on fuzzy control systems

查看全文 作　　者：LI Hongxing , WANG Jiayin and MIAO Zhihong(Department of Mathematics, Beijing Normal University, Beijing 100875, China)

出　　处：《Progress in Natural Science:Materials International》索引2003年第13卷第7期,共8页

基　　金：the National Natural Science Foundation of China (Grant No.60174013),the Research Fund for Doctoral Program of Higher Education (Grant No.20020027013) and the Major State Basic Research Development Program of China (Grant No.2002 CB 312200) 摘　　要：Marginal linearization method in modeling on fuzzy control systems is proposed, which is to deal with the nonlinear model with variable coefficients. The method can turn a nonlinear model with variable coefficients into a linear model with variable coefficients in the way that the membership functions of the fuzzy sets in fuzzy partitions of the universes are changed from triangle waves into rectangle waves. However, the linearization models are incomplete in their forms because of their lacking some items. For solving this problem, joint approximation by using linear models is introduced. The simulation results show that marginal linearization models are of higher approximation precision than their original nonlinear models. 关键词：模糊控制系统边缘线形方法数学模型非线形变量系数模型三角波矩形波逼近理论

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Marginal linearization method in modeling on fuzzy control systems

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