| 基于Lyapunov方程的分数阶新混沌系统的控制 |
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| 引用本文： | 许喆,刘崇新,杨韬.基于Lyapunov方程的分数阶新混沌系统的控制[J].物理学报,2010,59(3):1524-1531. |
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| 作者姓名： | 许喆 刘崇新 杨韬 |
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| 作者单位： | 西安交通大学电气工程学院，电力设备电气绝缘国家重点实验室，西安 710049 |
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| 摘 要： | 新混沌系统是一种不同于Lorenz混沌系统、Chen混沌系统以及Liu混沌系统的新的三阶连续自治混沌系统.本文基于波特图的频域近似方法,提出了一种混合型电路单元来近似实现分数阶算子,并设计电路实现了2·7阶新混沌系统.基于Lyapunov方程的系统稳定性判定理论,设计了相应的控制器,实现了对分数阶新混沌系统的控制.
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| 关 键 词： | 分数阶混沌系统 电路实验 混沌控制 |
| 收稿时间： | 2009-04-22 |
| 修稿时间： | 7/4/2009 12:00:00 AM |
Controlling fractional-order new chaotic system based on Lyapunov equation |
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| Xu Zhe,Liu Chong-Xing,Yang Tao.Controlling fractional-order new chaotic system based on Lyapunov equation[J].Acta Physica Sinica,2010,59(3):1524-1531. |
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| Authors: | Xu Zhe Liu Chong-Xing Yang Tao |
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| Abstract: | A new circuit unit for the analysis and synthesis of the chaotic behaviors in the new fractional-order system is proposed in this paper. Based on the approximation theory of fractional-order operator, an electronic circuit is designed to demonstrate the dynamic behaviors of the fractional-order Liu system with α = 0. 9. An effective controller is designed based on a theory of stability identification based on Lyapunov equation. The results between simulation and experiment are in good agreement, thereby proving the existence of chaos in the fractional-order new system and the effectiveness of our proposed control method. |
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| Keywords: | fractional-order chaotic system circuit experiment chaos control |
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