不同混沌系统的基于滑动模控制的混沌同步

本文就一种基于滑动模控制器的设计去同步两个不同的混沌系统（Lorenz-Liu）,并且假设系统的参数是已知的,而闭环的误差动力系统则依赖于响应系统的线性部分和控制器的控制参数选择,因此他们的同步速度可以通过这些参数来调整.同时我们可以用Lyapunov稳定性理论来分析他们的稳定性.最后给出了一些数值模拟.

Synchronizing Different Chaotic Systems Using Active Sliding Mode Control

An active sliding mode controller is designed to synchronize two different chaotic systems （Lorenz - Liu）. It is assumed that the system parameters are known. The closed loop error dynamics depends on the linear part of the response systems and parameters of the controller. Therefore, the synchronization rate can be adjusted through these parameters. Analysis of the stability for the proposed method is derived based on the Lyapunov stability theorem. Finally, numerical results are presented to show the effectiveness of the proposed control technique.