| Variable universe stable adaptive fuzzy control of nonlinear system |
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| 引用本文： | 李洪兴,苗志宏,王加银. Variable universe stable adaptive fuzzy control of nonlinear system[J]. 中国科学E辑(英文版), 2002, 45(3): 225-240. DOI: 10.1360/02ye9027 |
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| 作者姓名： | 李洪兴 苗志宏 王加银 |
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| 作者单位： | LI Hongxing MIAOZhihong &WANG Jiayin1. Department of Mathematics，Beijing Normal University，Beijing 100875，China;2. Department of Mathematics，Sichuan Normal University，Chengdu 610066，China;3. Department of Automation，Tsinghua Univers |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant Nos. 69974006 and 60174013). |
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| 摘 要： | A kind of stable adaptive fuzzy control of nonlinear system is implemented using variable universe method. First of all, the basic structure of variable universe adaptive fuzzy controllers is briefly introduced. Then the contraction-expansion factor that is a key tool of variable universe method is defined by means of integral regulation idea, and a kind of adaptive fuzzy controllers is designed by using such a contraction-expansion factor. The simulation on first order nonlinear system is done. Secondly, it is proved that the variable universe adaptive fuzzy control is asymptotically stable by use of Lyapunov theory. The simulation on the second order nonlinear system shows that its simulation effect is also quite good. Finally a useful tool, called symbolic factor, is proposed, which may be of universal significance. It can greatly reduce the settling time and enhance the robustness of the system.
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Variable universe stable adaptive fuzzy control of nonlinear system |
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| Hongxing Li, Miao Zhihong and Wang Jiayin. Variable universe stable adaptive fuzzy control of nonlinear system[J]. Science in China(Technological Sciences), 2002, 45(3): 225-240. DOI: 10.1360/02ye9027 |
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| Authors: | Hongxing Li Miao Zhihong Wang Jiayin |
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| Affiliation: | 1. Department of Mathematics, Beijing Normal University, Beijing 100875, China;Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;Department of Automation, Tsinghua University, Beijing 100084, China
2. Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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| Abstract: | A kind of stable adaptive fuzzy control of nonlinear system is implemented using variable universe method. First of all, the basic structure of variable universe adaptive fuzzy controllers is briefly introduced. Then the contraction-expansion factor that is a key tool of variable universe method is defined by means of integral regulation idea, and a kind of adaptive fuzzy controllers is designed by using such a contraction-expansion factor. The simulation on first order nonlinear system is done. Secondly, it is proved that the variable universe adaptive fuzzy control is asymptotically stable by use of Lyapunov theory. The simulation on the second order nonlinear system shows that its simulation effect is also quite good. Finally a useful tool, called symbolic factor, is proposed, which may be of universal significance. It can greatly reduce the settling time and enhance the robustness of the system. |
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| Keywords: | nonlinear systems variable universe adaptive fuzzy control contraction-expansion factor symbolic factor stable domain. |
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