SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY

doi:10.1088/1009-1963/10/7/304

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

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)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

^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/Abstract

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)

05.45.Xt

刘锋, 任勇, 山秀明, 邱祖廉. SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY[J]. 中国物理B, 2001, 10(7): 606-610.

Liu Feng (刘锋), Ren Yong (任勇), Shan Xiu-ming (山秀明), Qiu Zu-lian (邱祖廉). SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY[J]. Chinese Physics, 2001, 10(7): 606-610.

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SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY

SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY

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