中国物理B ›› 2006, Vol. 15 ›› Issue (1): 83-88.doi: 10.1088/1009-1963/15/1/013

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A new output feedback synchronization theorem for a class of chaotic systems with a scalar transmitted signal

卢俊国   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200240, China
  • 收稿日期:2004-12-22 出版日期:2006-01-20 发布日期:2006-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60404005).

A new output feedback synchronization theorem for a class of chaotic systems with a scalar transmitted signal

Lu Jun-Guo (卢俊国)   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2004-12-22 Online:2006-01-20 Published:2006-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60404005).

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摘要： This paper proposes a new, simple and yet applicable output feedback synchronization theorem for a large class of chaotic systems. We take a linear combination of drive system state variables as a scale-driving signal. It is proved that synchronization between the drive and the response systems can be obtained via a simple linear output error feedback control. The linear feedback gain is a function of a free parameter. The approach is illustrated using the R\"{o}ssler hyperchaotic systems and Chua's chaotic oscillators.

关键词: chaos, hyperchaos, synchronization

Abstract: This paper proposes a new, simple and yet applicable output feedback synchronization theorem for a large class of chaotic systems. We take a linear combination of drive system state variables as a scale-driving signal. It is proved that synchronization between the drive and the response systems can be obtained via a simple linear output error feedback control. The linear feedback gain is a function of a free parameter. The approach is illustrated using the R?ssler hyperchaotic systems and Chua's chaotic oscillators.

Key words: chaos, hyperchaos, synchronization

中图分类号:  (Synchronization; coupled oscillators)

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