改进型Van der Pol-Duffing混沌振子的同步研究  

Synchronization of modified Van der Pol-Duffing chaotic oscillator

作　　者：王绍明[1] 王安福[1] 

机构地区：[1]郧阳师范高等专科学校物理与电子工程系,湖北丹江口442700

出　　处：《武汉科技大学学报》2007年第5期538-541,共4页Journal of Wuhan University of Science and Technology

基　　金：湖北省教育厅科学技术重点项目(D200560001);国家自然科学基金资助项目(60474011)

摘　　要：研究了改进型Van der Pol-Duffing混沌振子的同步问题。当驱动系统的参数已知时,根据Lyapunov稳定性理论,设计了一个线性反馈控制器,使两个相同的改进型Van der Pol-Duffing混沌振子同步,并得出了保守性较小的同步条件;当驱动系统的参数未知时,利用自适应控制方法,选择了适当的自适应律,构造了两个简单的控制器,使响应系统与驱动系统同步,并同时实现了驱动系统中未知参数的辨识。通过数值仿真,表明了这些方法的有效性。The synchronization of modified Van der Pol-Duffing chaotic oscillator is studied. According to Lyapunov stability theory, a linear feedback controller is designed for the synchronization of two identical modified Van der Pol-Duffing chaotic oscillators when the parameters of drive system are certain. When the parameters of drive system are unknown, making use of an adaptive control strategy, the appropriate adaptive laws are chosen and two simple controllers are designed to make response system and drive system synchronize and the unknown parameters of drive system are identified at the same time. Numerical simulations confirm the effectiveness of these methods.

关 键 词：同步 VAN der Pol-Duffing混沌振子 线性反馈 自适应控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]