基于线性控制的分数阶统一混沌系统的同步

Synchronization of fractional-order unified chaotic system via linear control

研究了分数阶统一混沌系统的同步.基于分数阶稳定性原理,提出了通过线性反馈实现分数阶统一混沌系统的同步方法.所设计的控制器为单一控制变量的线性控制器,且不需要计算反馈系数.通过对分数阶Lorenz混沌系统、Chen混沌系统和Lü混沌系统的数值模拟,证实了所提方法的有效性.

Chaos synchronization in fractional-order unified chaotic system is disscussed in this paper. Based on the stability theory of fractional-order system, the control law is presented to achieve chaos synchronization. The advantage of the proposed controllers is that they are linear and have lower dimensions than that of the states. With this technique it is very easy to find the suitable feedback constant. Simulation results for fractional-order Lorenz, Lü and Chen chaotic systems are provided to illustrate the effectiveness of the proposed scheme.