中国物理B ›› 2002, Vol. 11 ›› Issue (1): 12-16.doi: 10.1088/1009-1963/11/1/304

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Controlling the Chen attractor using linear feedback based on parameter identification

周天寿1, 吕金虎2, 张锁春2   

  1. (1)Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; (2)Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2001-05-21 修回日期:2001-08-06 出版日期:2002-01-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10171099).

Controlling the Chen attractor using linear feedback based on parameter identification

 Lü Jin-Hu (吕金虎)a,  Zhou Tian-Shou (周天寿)b, Zhang Suo-Chun (张锁春)a   

  1. a Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China; b Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • Received:2001-05-21 Revised:2001-08-06 Online:2002-01-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10171099).

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摘要： In this paper we investigate the method for controlling the chaotic Chen system with unknown parameters using linear feedback functions based on parameter identification. The observer is applied to the identification of the unknown parameters of Chen system. Then an efficient feedback function is designed for controlling the Chen system. Numerical simulations are provided to show the effectiveness and feasibility of the developed controller.

Abstract: In this paper we investigate the method for controlling the chaotic Chen system with unknown parameters using linear feedback functions based on parameter identification. The observer is applied to the identification of the unknown parameters of Chen system. Then an efficient feedback function is designed for controlling the Chen system. Numerical simulations are provided to show the effectiveness and feasibility of the developed controller.

Key words: feedback control, Chen attractor, parameter identification

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

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)