| 分数阶Qi混沌系统投影同步和电路实现 |
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| 引用本文： | 闵富红,单梁,王执铨.分数阶Qi混沌系统投影同步和电路实现[J].东南大学学报(自然科学版),2009(Z1). |
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| 作者姓名： | 闵富红 单梁 王执铨 |
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| 作者单位： | 南京师范大学电气与自动化工程学院;南京理工大学自动化系; |
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| 基金项目： | 江苏省高校自然基础研究资助项目(08KJB510006); 中国博士后科学基金资助项目(20080430170) |
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| 摘 要： | 对于含有三次非线性项的复杂Qi混沌系统,基于频率近似法研究了其分数阶的混沌动力学行为.通过构造合适的控制方案,实现初始值不同的2个分数阶Qi混沌系统的投影同步,并基于分数阶系统的稳定性理论,通过选择合适的控制参数,使得分数阶误差系统渐进稳定.通过改变投影同步的比例因子,可以获得任意比例于驱动系统混沌信号的信号,这为混沌系统在保密通信等方面的应用提供了技术基础.另外,利用电路仿真软件Multisim10,构造等级模块,设计了主电路驱动系统和子电路响应系统的电路图,实现了初始值不同的2个分数阶Qi混沌系统投影同步,电路实验进一步证实了理论分析和数值仿真的有效性.
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| 关 键 词： | 分数阶Qi系统 混沌系统 投影同步 |
Circuit implementation and project synchronization of fractional-order Qi chaotic systems |
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| Min Fuhong Shan Liang Wang Zhiquan.Circuit implementation and project synchronization of fractional-order Qi chaotic systems[J].Journal of Southeast University(Natural Science Edition),2009(Z1). |
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| Authors: | Min Fuhong Shan Liang Wang Zhiquan |
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| Institution: | Min Fuhong1 Shan Liang2 Wang Zhiquan2(1 School of Electronic Engineering , Automation,Nanjing Normal University,Nanjing 210042,China)(2 Department of Automation,Nanjing University of Science , Technology,Nanjing 210094,China) |
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| Abstract: | The chaotic behaviors in the fractional-order Qi system are first studied using frequency domain technique,in which each equation in the system contains a three-term cross product.Based on the suitable control scheme and the stability criterion of fractal-order linear systems,a simple feedback control method is proposed to realize the project synchronization for two fractional-order Qi chaotic systems with different initial values.The control parameter which makes the error system stable is flexible and eas... |
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| Keywords: | fractional-order Qi system chaotic system project synchronization |
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