超混沌Lü系统的非线性反馈自适应同步  

Nonlinearly state feedback and adaptive synchronization of hyperchaotic Lü systems

作　　者：贾贞[1] 陆君安[2] 邓光明[1] 

机构地区：[1]桂林工学院数理系,广西桂林541004 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《系统工程与电子技术》2007年第4期598-600,617,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(60574045);广西自治区教育厅科研项目资助课题(桂教科研[2006]26-118)

摘　　要：针对Aimin chen提出来的超混沌Lü系统的同步问题,分别在已知参数和未知参数的情况下设计了非线性反馈自适应控制器,使两个恒同的超混沌Lü系统在全局范围内实现同步,并且在未知参数情况下,实现了参数的跟踪,避免了线性控制中混沌系统的界的估计问题。用Lyapunov方法从理论上证明了结论,并用数值仿真验证了理论结果。The synchronization of the hyperchaotic Lue system introduced by Aimin chen is discussed. Non linear feedback adaptive control laws are designed such that the two identical hyperchaotic Lue systems are globally asymptotically synchronous with known and unknown parameters, respectively. Furthermore, the tracking of parameters in the later case is realized, which avoids estimating the bound of the states. The conclusion is proved theoretically based on Lyapunov method. Finally, numerical simulations are given to demonstrate the feasibility of the theoretical conclusion.

关 键 词：超混沌系统 同步 自适应 控制器 非线性反馈 

分 类 号：O415.5[理学—理论物理]