针对Aimin chen提出来的超混沌Lue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Lue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.