具有不确定项的时滞混沌系统自适应同步  

Adaptive Synchronization of a Class of Time-delay Chaotic Systems with Uncertainties

作　　者：邓玮[1] 王宏[1] 方洁[1] 吴振军[1] 

机构地区：[1]郑州轻工业学院电气信息工程学院,河南省信息化电器重点实验室,河南郑州450002

出　　处：《郑州大学学报（工学版）》2013年第5期85-88,共4页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(61070238)

摘　　要：针对一类具有不确定项的时滞混沌系统的同步问题,提出了自适应控制策略.基于Lyapunov-Krasovskii函数方法和泛函微分方程的稳定性原理,设计了控制器和自适应律,实现了具有不确定项的时滞混沌系统的同步控制.该控制策略中不含有时滞项,不仅适用于时滞时间已知的时滞混沌系统,而且适用于时滞时间未知以及多时滞的混沌系统.所设计的控制器简单、易于实现,且无需事先已知不确定项的上界,具有较强的实用性和鲁棒性,通过引入同步加速因子,可以任意配置同步速度.通过数值仿真,验证了所提方案的有效性.This paper primarily investigates the adaptive synchronization of a class of time-delay chaotic sys- tems with uncertainties. According to Lyapunov-Krasovskii functional and the Lyapunov stability theory, the controller and adaptive law are designed. The control strategy does not contain time-delay terms, which can be applied to time-delay or multiple time-delay chaotic system, whoes time-delay is known or unknown. The ap- proach is more robust to noise and external interference, and does not need to known the upper bound of un- certainties in advance. In addition, it can adjust the system response rapidly by adjusting the accelerated fac- tor. Numerical simulations verify the effectiveness of the proposed method.

关 键 词：混沌系统 时滞系统 自适应控制 混沌同步 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TM132[自动化与计算机技术—控制科学与工程]