| 利用锯齿非线性混沌化稳定的Takagi-Sugeno (TS) 模糊系统 |
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| 引用本文： | 卢俊国.利用锯齿非线性混沌化稳定的Takagi-Sugeno (TS) 模糊系统[J].中国物理 B,2005,14(1):67-71. |
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| 作者姓名： | 卢俊国 |
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| 作者单位： | Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China |
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| 基金项目： | Project supported by the National Postdoctoral Science Foundation of China and the National Natural
Science Foundation of China (Grant No 60404005). |
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| 摘 要： | 研究了利用任意小幅值的状态反馈控制来混沌化稳定的Takagi-Sugeno (TS) 模糊系统问题。所用状态反馈控制器是系统状态的锯齿函数。我们应用改进的Marotto定理从数学上证明了受控系统在Li-Yorke意义下是混沌的。特别地，给出了计算混沌化参数的解析公式。最后一个数值例子被用来说明所提的理论结果。
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| 关 键 词： | 混沌 混沌化 TS模糊系统 混沌控制 |
| 收稿时间： | 2004-05-26 |
| 修稿时间： | 9/6/2004 12:00:00 AM |
Chaotifying a stable Takagi-Sugeno fuzzy system by a sawtooth nonlinearity |
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| Lu Jun-Guo.Chaotifying a stable Takagi-Sugeno fuzzy system by a sawtooth nonlinearity[J].Chinese Physics B,2005,14(1):67-71. |
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| Authors: | Lu Jun-Guo |
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| Institution: | Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | The problem of making a stable Takagi--Sugeno (TS) fuzzy system chaotic by using the state feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth function of the system state.The improved Marotto theorem has been obtained and applied to mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. In particular, an explicit formula for the computation of chaotification parameters is obtained. A numerical example is used to visualize and illustrate the theoretical results. |
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| Keywords: | chaos chaotification TS fuzzy system chaos control |
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