摘要
针对一类具有不确定参数的非线性混沌系统,本文提出了一种新的混沌通信同步方法。考虑混沌通信的特点,通过合理的假设,该类系统可以作为一类在接收端或可观测输出端由附加白噪声驱动的线性时变系统。然后,同步问题通过最优滤波的方法来解决,可以应用Kalman滤波的结论进行估计。在一些充分条件下,响应系统的状态能够渐进跟踪驱动系统的状态,并且在输出端包含干扰噪声的情况下,仍能保证良好的跟踪轨迹。
A general synchronization method is proposed for a class of nonlinear chaotic systems where the uncertain parameters are present. Under some reasonable assumptions it is shown that the class of nonlinear chaotic systems can be treated as linear time-varying systems, driven by the additive white noise contaminated at the receiver, or observed output. The synchronization is tackled via optimal filtering to which the results of Kalman filtering can be applied. We present some sufficient conditions under which the states of the driven system are able to track the states of the drive system asymptotically, and good tracking performance can be obtained in the presence of the additive white noise involved at the observed output.
出处
《计算机工程与科学》
CSCD
2004年第8期100-105,共6页
Computer Engineering & Science
基金
教育部高校骨干教师基金资助项目
关键词
保密通信
KALMAN滤波
非线性混沌系统
混沌通信同步方法
chaotic system
secure communications
synchronization
uncertain parameter
Kalman filtering
asymptotic stability
exponential stability