参数不确定的广义Lorenz系统的同步研究

Synchronization Research of General Lorenz System with Uncertain Parameters

针对参数不确定的广义Lorenz混沌系统,提出一种新的自适应反馈同步方法。利用Lyapunov稳定性理论,设计了参数不确定的广义Lorenz混沌系统的自适应反馈同步控制器,并给出了参数自适应律的解析式。理论上证明了所设计控制器的正确性,并通过Matlab进行仿真实验,成功地实现了系统状态同步和系统不确定参数的辨识。数值仿真结果验证了所提出方法的可行性和有效性。该方法同步建立时间短,同步精度高,对系统初值没有特殊要求。

Aimed at the synchronization of generalized Lorenz chaotic systems with uncertain parameters,a novel adaptive feedback scheme is proposed.Based on Lyapunov stability theory,an adaptive feedback controller of generalized Lorenz chaotic system with uncertain parameters is designed.And updating law of the parameters is proposed.Theory analysis proved the accuracy of the designed controller.The systems synchronization and identification of uncertain parameters are realized through simulation using Matlab.The simulation results show that the proposed method is effective and feasible.The proposed method has some advantages.Firstly,the time of synchronization is short.Secondly,the precision of synchronization is high.Thirdly,the initial values of the system have no special requirement.