混沌系统的同步控制
Synchronization and Control of Chaotic System
摘要: 本文首先通过理论分析证明的方式获取混沌同步的条件，然后结合具体的混沌系统利用仿真实验对理论结果进行验证。提出了使两个分数阶超混沌系统获得鲁棒同步的方案，得出在驱动系统和响应系统都存在不确定的外部干扰的情况下，通过该同步方案可以把同步误差控制在距离原点的一定范围内，通过设计合适的控制器来可以控制同步误差的精度。
Abstract: Since the applications in the field of secure communication and so on, the synchronization of frac-tional-order chaotic system catches many attentions and is researched extensively. In this paper, we launch of a series of research on chaotic synchronization by the method of combing theory prove and numerical simulations. A robust synchronization scheme of factional-order hyperchaotic systems is promoted. Through theory analysis, we get that the synchronization error can be forced and kept inside a ball around the origin when the drive system and response system both have external noises, and the radius of the ball can be chosen by designing proper controller.
文章引用：张永雷. 混沌系统的同步控制[J]. 自然科学, 2018, 6(6): 450-458. https://doi.org/10.12677/OJNS.2018.66059

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