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应用科学学报 ›› 2004, Vol. 22 ›› Issue (1): 66-70.

• 论文 • 上一篇    下一篇

混沌和超混沌系统控制的辅助系统设计方法

陈茂银1, 韩正之1, 尚云2   

  1. 1 上海交通大学自动化系 上海 200030;
    2 陕西师范大学数学与信息科学学院 陕西西安 710062
  • 收稿日期:2002-10-14 修回日期:2003-02-25 出版日期:2004-03-31 发布日期:2004-03-31
  • 作者简介:孙茂银(1975-),男,山东莱芜人,博士生;韩正之(1947-),男,浙江义乌人,教授,博导.

The Auxiliary System Method of Controlling Chaotic and Hyperchaotic Systems

CHEN Mao-yin1, HAN Zheng-zhi1, SHANG Yun2   

  1. 1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
  • Received:2002-10-14 Revised:2003-02-25 Online:2004-03-31 Published:2004-03-31

PDF

111

被引次数

3

摘要： 提出了一种控制混沌系统或超混沌系统的辅助系统设计方法.对于任意的混沌系统或超混沌系统,可以构造它们的辅助系统,并且能够设计一种迭代控制器.该控制器能够稳定吸引子内部的不稳定周期轨道.Rossler超混沌系统和广义Henon映射的仿真结果均验证了该方法的有效性.

关键词: 混沌系统, 超混沌系统, 控制, 辅助系统

Abstract: This paper proposes an auxiliary system method for controlling chaotic and hyperchaotic systems. We can thus design auxiliary systems for arbitrary chaotic and hyperchaotic systems. An iteration control law is designed to stabilize unstable periodic orbits in the chaotic attractor. Numerical simulation of the Lorenz system and a hyperchaotic system verifies the effectiveness of this method.

Key words: chaotic system, control, hyperchaotic system, auxiliary system

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