中国物理B ›› 2001, Vol. 10 ›› Issue (7): 606-610.doi: 10.1088/1009-1963/10/7/304

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SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY

邱祖廉1, 刘锋2, 任勇2, 山秀明2   

  1. (1)Department of Automatic Control, Xi'an Jiaotong University, Xi'an 710049, China; (2)Department of Electronics Engineering, Tsinghua University, Beijing 100084, China
  • 收稿日期:2000-10-17 修回日期:2001-01-16 出版日期:2001-07-15 发布日期:2005-06-12

SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY

Liu Feng (刘锋)a, Ren Yong (任勇)a, Shan Xiu-ming (山秀明)a, Qiu Zu-lian (邱祖廉)b    

  1. a Department of Electronics Engineering, Tsinghua University, Beijing 100084, China; b Department of Automatic Control, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2000-10-17 Revised:2001-01-16 Online:2001-07-15 Published:2005-06-12

摘要: A new synchronization theorem for a class of chaotic systems is presented based on nonlinear observer theory. We take the first state variable of the drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is proven that global synchronization can be attained through simple linear output error feedback. This approach is illustrated by the WGY hyperchaotic system and Chua's oscillator.

Abstract: A new synchronization theorem for a class of chaotic systems is presented based on nonlinear observer theory. We take the first state variable of the drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is proven that global synchronization can be attained through simple linear output error feedback. This approach is illustrated by the WGY hyperchaotic system and Chua's oscillator.

Key words: synchronization, chaos, observer

中图分类号:  (Synchronization; coupled oscillators)

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