| Marginal linearization method in modeling on fuzzy control systems |
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| 作者姓名： | LI Hongxing WANG Jiayin MIAO Zhihong |
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| 作者单位： | Department of Mathematics, Beijing Normal University, Beijing 100875, China,Department of Mathematics, Beijing Normal University, Beijing 100875, China,Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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| 基金项目： | Supported by 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) |
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| 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.
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| 关 键 词： | fuzzy control nonlinear model with variable coefficients linear model with variable coefficients |
Marginal linearization method in modeling on fuzzy control systems |
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| LI Hongxing,WANG Jiayin,MIAO Zhihong.Marginal linearization method in modeling on fuzzy control systems[J].Progress in Natural Science,2003,13(7):489-496. |
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| Authors: | Li Hongxing Wang Jiayin Miao Zhihong |
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| Institution: | Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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| Abstract: | 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. |
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| Keywords: | fuzzy control nonlinear model with variable coefficients linear model with variable coefficients |
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