错位修正混沌函数投影同步及在保密通信中的应用

Dislocated Modified Function Projective Synchronization of Chaotic System and Its Application in Secure Communication

研究了一种新的错位修正混沌函数投影同步控制方法及其保密通信应用。基于Lyapunov稳定性理论和主动控制方法,设计非线性反馈控制器和参数更新规则,实现了两个同结构的超混沌系统的不同状态变量之间的错位修正函数投影同步并估计出未知参数。将此方法用于基于混沌遮掩调制的保密通信中。信息信号经过函数转换后被驱动系统状态变量遮掩并作为驱动信号传送到接受端,在接受端通过消除函数尺度因子和反函数变换对信息信号进行恢复。该控制策略具有较强的保密性和实用性。数值仿真证明了该控制方法的有效性。

A new dislocated modified function projective synchronization（DMFPS） problem of hyperchaotic system and its application in secure communication were researched.Based on Lyapunove stability theory and active control method,nonlinear feedback controller and parameter update laws were presented for the DMFPS between two identical hyperchaotic system with unknown parameters.Then this method was applied to secure communication through chaotic masking modulation.The information signal,through function transformations,was masked by the state variables of the drive system and sent to the receiver as a drive signal,then the information signal was recovered at the receiver by eliminating the function scaling factor and the anti-function transformation.The control strategy had stronger security and practicality.The corresponding numerical simulations demonstrated the effectiveness of the proposed method.