一类参数不确定时滞混沌系统的反馈控制同步

Feedback Control Synchronization for a Class of Delayed Chaotic Systems with Uncertain Parameters

首先利用Lyapunov稳定理论设计了状态反馈控制器,并基于线性矩阵不等式技术给出了实现时滞混沌系统全局渐近同步的充分条件.其次以时滞Chen混沌系统和时滞Lorenz混沌系统为例,根据所给出的定理,求解出线性矩阵不等式的解,并且使时滞Chen混沌系统和时滞Lorenz混沌系统渐近同步.两个例子说明了所设计的控制器实用有效,易于实现并通过仿真证明了该方法的有效性.

A state feedback controller was designed by Lyapunov stability theory, and the sufficient conditions were given to the implementation of synchronization of two delayed chaotic systems via linear matrix inequality technique. Taking the delayed Chen chaotic systems and the delayed Lorenz chaotic systems as example and according to the given theorem, the linear matrix inequality is solved so as to make the two systems asymptotically synchronous. These examinations show that the designed controller is easy to implement in practice and the simulation results demonstrate the effectiveness of the presented method.