不同混沌系统的基于滑动模控制的混沌同步  

Synchronizing Different Chaotic Systems Using Active Sliding Mode Control

作　　者：刘常凯[1] 

机构地区：[1]泰山学院数学与系统科学学院,山东泰安271021

出　　处：《泰山学院学报》2009年第3期12-16,共5页Journal of Taishan University

摘　　要：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.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.

关 键 词：混沌系统 混沌同步 滑动模控制 LORENZ系统 Liu系统 

分 类 号：O29[理学—应用数学]