中国物理B ›› 2002, Vol. 11 ›› Issue (1): 9-11.doi: 10.1088/1009-1963/11/1/303

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Global adaptive synchronization of chaotic systems with uncertain parameters

韩崇昭1, 李智2   

  1. (1)School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China; (2)School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China; Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China
  • 收稿日期:2001-04-09 修回日期:2001-07-27 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. 60174016).

Global adaptive synchronization of chaotic systems with uncertain parameters

 Li Zhi (李智)ab, Han Chong-Zhao (韩崇昭)a   

  1. a School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China; b Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China
  • Received:2001-04-09 Revised:2001-07-27 Online:2002-01-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60174016).

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摘要： We propose a novel adaptive synchronization method for a class of nonlinear chaotic systems with uncertain parameters. Using the chaos control method, we derive a synchronizer, which can make the states of the driven system globally track the states of the drive system asymptotically. The advantage of our method is that our problem setting is more general than those that already exist, and the synchronizer is simply constructed by an analytic formula, without knowledge in advance of the unknown bounds of the uncertain parameters. A computer simulation example is given to validate the proposed approach.

Abstract: We propose a novel adaptive synchronization method for a class of nonlinear chaotic systems with uncertain parameters. Using the chaos control method, we derive a synchronizer, which can make the states of the driven system globally track the states of the drive system asymptotically. The advantage of our method is that our problem setting is more general than those that already exist, and the synchronizer is simply constructed by an analytic formula, without knowledge in advance of the unknown bounds of the uncertain parameters. A computer simulation example is given to validate the proposed approach.

Key words: chaotic systems, chaos control, adaptive chaos synchronization, uncertain parameters

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)