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分数阶混沌系统的追踪同步与电路实现

, PP. 13-18

Keywords: 分数阶系统,混沌系统,电路实验图,追踪控制

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Abstract:

针对一个新型四维整数阶混沌系统,设计合适的线性反馈控制器,实现分数阶超混沌系统的所有状态向量与不同信号的追踪同步,并以追踪三角波信号、任意不动点以及整数阶超混沌Qi系统等为例,将分数阶混沌信号控制到期望的周期轨道或平衡点,以及实现分数阶混沌系统与整数阶混沌系统的异结构追踪同步,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,基于Multisim10电路软件,设计分数阶超混沌系统的电路图以及反馈控制器的电路模块,进行电路模拟,从而证实了理论分析和数值仿真的有效性.

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