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以超混沌Chen系统和超混沌Lorenz系统为例,研究了慢时变参数超混沌系统的反同步问题.首先利用主动控制的思想,消去超混沌系统中的非线性部分,然后基于Lyapunov稳定性理论,合理地选取参数自适应控制律,很好的解决了时变参数的参数摄动问题,从而实现了两个超混沌系统的反同步.在此基础之上,又进一步研究了分数阶超混沌系统,使用滑模控制方法对其进行控制,理论上分析了该方法的可行性.数值模拟实验进一步验证了所提出方法的有效性.
关键词:
超混沌
分数阶
自适应
滑模 相似文献
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In this paper, the
proportional synchronization between drive system and response
system is achieved by using the concept of generalized
synchronization. The phase space of all variables in response
system can be expanded and compressed flexibly. Meanwhile, the 6-D
hyperchaotic chua's circuit is considered as an illustrative
example to demonstrate the effectiveness of the proposed approach.
Furthermore, focusing on the shortcoming of the long transient
behavior during the process of synchronization, a feedback method
is adopted to shorten the transitional time of synchronization,
which will provide an effective way for speeding up the
transmitting velocity of code in chaotic multiple access communication. 相似文献
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In this paper multiple delay feedback control (MDFC) with different
and independent delay times is shown to be an efficient method for
stabilizing fixed points in finite-dimensional dynamical systems.
Whether MDFC can be applied to infinite-dimensional systems has been
an open question. In this paper we find that for infinite-dimensional
systems modelled by delay differential equations, MDFC works well for
stabilizing (unstable) steady states in long-, moderate- and
short-time delay regions, in particular for the hyperchaotic case. 相似文献
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研究两个对称非线性耦合混沌系统的同步问题.通过对系统线性项与非线性项的适当分离, 构造一个特殊的非线性耦合项,发现在耦合强度α=05附近的某一区域里存在稳定的 混沌同步现象.提供判断同步误差稳定性的方程,利用线性系统的稳定性分析准则和条件Lya punov指数来检验同步状态的稳定性.新方法适用于连续时间系统的混沌同步,也适用于具有 两个(或多于两个)正Lyapunov指数的超混沌系统.以Lorenz系统,超混沌Rssler 系统作 为算例,数值模拟结果证实所提新方法的有效性.
关键词:
混沌
同步
非线性耦合
稳定性准则
超混沌 相似文献
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