中国物理B ›› 2006, Vol. 15 ›› Issue (5): 953-957.doi: 10.1088/1009-1963/15/5/014

• GENERAL • 上一篇    下一篇

Adaptive synchronization of Chua's system with uncertain inputs

张　健, 徐红兵, 王厚军   

  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 收稿日期:2005-07-25 修回日期:2006-02-27 出版日期:2006-05-20 发布日期:2006-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60502009).

Adaptive synchronization of Chua's system with uncertain inputs

Zhang Jian (张　健), Xu Hong-Bing (徐红兵), Wang Hou-Jun (王厚军)   

  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
  • Received:2005-07-25 Revised:2006-02-27 Online:2006-05-20 Published:2006-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60502009).

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摘要： The synchronization of Chua's system, whose inputs include an unknown constant parameter, is studied in this paper. A constructive method is applied to designing an adaptive controller, in which only one variable information of the master system is needed. With the action of control signals, the parameter of the slave system will approach the corresponding unknown parameter in the master system. At the same time, the synchronization errors will also converge to zero asymptotically. Numerical simulations show that the proposed theoretical approach is very effective.

Abstract: The synchronization of Chua's system, whose inputs include an unknown constant parameter, is studied in this paper. A constructive method is applied to designing an adaptive controller, in which only one variable information of the master system is needed. With the action of control signals, the parameter of the slave system will approach the corresponding unknown parameter in the master system. At the same time, the synchronization errors will also converge to zero asymptotically. Numerical simulations show that the proposed theoretical approach is very effective.

Key words: chaos, synchronization, Chua's system, uncertain inputs

中图分类号:  (Synchronization; coupled oscillators)

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