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李洪兴

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期刊论文

Variable universe stable adaptive fuzzy control of nonlinear system1

李洪兴LI Hongxing MIAO Zhihong and WANG Jiayin

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摘要/描述

A kind of stable adaptive fuzzy control of nonlinear system is implemented based on variable universe method proposed firstly in [1]. First of all, the basic structure of variable universe adaptive fuzzy controllers is briefly introduced. Then the contraction-expansion factor which is a key tool of variable universe method is defined by means of integral regulation idea, and then a kind of adaptive fuzzy controllers is designed by using such contraction-expansion factor. The simulation on first order nonlinear system is done, as a result, its simulation effect is quite good in comparison with the corresponding result in [5, 6]. Secondly, it is proved that the variable universe adaptive fuzzy control is asymptotically stable by use of Lyapunov theory. The simulation on second order nonlinear system shows that its simulation effect is also quite good in comparison with the corresponding result in [5]. Besides, a useful tool, called symbolic factor, is proposed, which may be of universal significance. It can greatly reduce the setting time and enhance the robustness of the system.

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