一个新混沌系统的自适应反同步控制及实现

针对所提出的一类新型混沌系统，研究了其驱动与响应系统的反同步控制问题.基于李雅普诺夫稳定性理论，利用自适应控制方法，提出了可以实现混沌系统反同步的控制器的设计方法和参数自适应学习算法.在此基础上，通过Matlab软件进行数值仿真，仿真结果显示所有的参数均可以得到准确地识别，并且可以在较短的时间内使误差系统趋于稳定，说明了控制器与参数自适应律的正确性.最后，基于Multisim电路仿真平台对同步电路进行验证，结果进一步证明了该方法的电路可实现性.

Adaptive anti synchronization control of a new chaotic system and its implementation

As for a new proposed class of chaotic system,the anti-synchronization control problem is studied between the drive and the response system.Based on Lyapunov stability theory and the adaptive control method,a method of controller design and an adaptive learning algorithm of the parameters are presented for the anti-synchronization of the new chaotic system.On this basis,through the numerical simulation carried out via Matlab software,the simulation results show that all the parameters can be accurately identified,and that it can make error system stable in a relatively short period of time,which certifies the correctness of the controller and the parameter adaptive law.Finally,synchronization circuit results are verified via Multisim simulation platform,which further proves that the circuit can be realized.