中国物理B ›› 2006, Vol. 15 ›› Issue (2): 306-309.doi: 10.1088/1009-1963/15/2/012

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A simple asymptotic trajectory control of full states of a unified chaotic system

王冬青1, 禹东川2, 吴爱国2   

  1. (1)College of Automation Engineering, Qingdao University,Qingdao 266071,China; (2)School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China
  • 收稿日期:2005-05-20 修回日期:2005-08-29 出版日期:2006-02-20 发布日期:2006-02-20

A simple asymptotic trajectory control of full states of a unified chaotic system

Yu Dong-Chuan (禹东川)a, Wu Ai-Guo (吴爱国)a, Wang Dong-Qing (王冬青)b    

  1. a School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China; b College of Automation Engineering, Qingdao University, Qingdao 266071, China
  • Received:2005-05-20 Revised:2005-08-29 Online:2006-02-20 Published:2006-02-20

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摘要： A simple full-state asymptotic trajectory control (FSATC) scheme is proposed to asymptotically drive full states of a unified chaotic system (UCS) to arbitrary desired trajectories. The FSATC uses only information, i.e. one state of the UCS. A sinusoidal wave and two chaotic variables are taken as illustrative tracking trajectories to verify that using the proposed FSATC can make full UCS states track desired trajectories with high tracking accuracy in a finite time.

关键词: chaotic control, a unified chaotic system, trajectory control

Abstract: A simple full-state asymptotic trajectory control (FSATC) scheme is proposed to asymptotically drive full states of a unified chaotic system (UCS) to arbitrary desired trajectories. The FSATC uses only information, i.e. one state of the UCS. A sinusoidal wave and two chaotic variables are taken as illustrative tracking trajectories to verify that using the proposed FSATC can make full UCS states track desired trajectories with high tracking accuracy in a finite time.

Key words: chaotic control, a unified chaotic system, trajectory control

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators)