计算机应用 ›› 2011, Vol. 31 ›› Issue (12): 3346-3349.

• 信息安全 • 上一篇    下一篇

时变时滞非线性系统的间歇控制

郭玉栋,秦振基   

  1. 山西晋中学院
  • 收稿日期:2011-06-20 修回日期:2011-08-02 发布日期:2011-12-12 出版日期:2011-12-01
  • 通讯作者: 郭玉栋

Intermittent control of nonlinear systems with time-varying delay

  • Received:2011-06-20 Revised:2011-08-02 Online:2011-12-12 Published:2011-12-01

摘要: 时变时滞广泛存在于各种非线性系统中,研究了时变时滞非线性系统的间歇控制及其在保密通信中的应用问题,提出了一种间歇控制策略,理论上分析了其正确性,并且给出一个定理来确定控制器的相关参数。根据提出的定理,设计出间歇控制器使得两个含有时变时滞的Chua电路指数达到同步。将该方法应用到混沌保密通信中,在两个系统达到同步的基础上,发送端的信号能够在接收端很好地恢复出来,表明了该方法的可行性。

关键词: 间歇控制, 时变时滞, 指数同步, 保密通信, Chua电路

Abstract: Time-varying delay widely exists in nonlinear systems. This paper investigated the intermittent control problem of nonlinear systems with time-varying delay and its applications in chaotic secure communications. The authors proposed an intermittent control scheme, and analyzed its correctness theoretically. Moreover, a theorem was also given to determine the corresponding parameters in the controller. According to the proposed theorem, the synchronization of two chaotic Chua’s circuits can be achieved by designing intermittent controller. The method was applied to chaotic secure communications, and the sender’s signal could be recovered well at the receiving end after the synchronization was achieved. This also shows that the proposed method has some engineering applications.

Key words: intermittent control, time-varying delay, exponential synchronization, secure communications, Chua’s circuit