Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters.
Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters.
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DOI：
10.1063/1.2089207
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发表时间：
2005-11
期刊：
影响因子：
2.9
通讯作者：
Jianquan Lu;Jinde Cao
中科院分区：
文献类型：
--
作者：
Jianquan Lu;Jinde Cao
本文研究了具有完全未知参数的混沌和超混沌系统的自适应完全同步。在实际情况中，一些系统的参数无法事先确切知晓，并且这些不确定性常常影响混沌振子同步过程的稳定性。本文基于混沌系统的结构提出了一种自适应方案来补偿参数不确定性的影响。基于李雅普诺夫稳定性定理，可以为混沌和超混沌系统的同步设计一个自适应控制器和一个参数更新律。驱动系统和响应系统可以是不相同的，甚至具有不同的阶数。给出了三个说明性的例子来证明该技术的有效性，并且还给出了数值模拟以展示所提出的混沌同步方法的有效性。此外，这种同步方案对噪声的影响具有相当强的鲁棒性。
This paper studies the adaptive complete synchronization of chaotic and hyperchaotic systems with fully unknown parameters. In practical situations, some systems' parameters cannot be exactly known a priori, and the uncertainties often affect the stability of the process of synchronization of the chaotic oscillators. An adaptive scheme is proposed to compensate for the effects of parameters' uncertainty based on the structure of chaotic systems in this paper. Based on the Lyapunov stability theorem, an adaptive controller and a parameters update law can be designed for the synchronization of chaotic and hyperchaotic systems. The drive and response systems can be nonidentical, even with different order. Three illustrative examples are given to demonstrate the validity of this technique, and numerical simulations are also given to show the effectiveness of the proposed chaos synchronization method. In addition, this synchronization scheme is quite robust against the effect of noise.