中国物理B ›› 2013, Vol. 22 ›› Issue (8): 80507-080507.doi: 10.1088/1674-1056/22/8/080507

• GENERAL • 上一篇    下一篇

Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback

顾卫东, 孙志勇, 吴晓明, 于长斌   

  1. Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China
  • 收稿日期:2012-11-13 修回日期:2013-01-16 出版日期:2013-06-27 发布日期:2013-06-27
  • 基金资助:
    Project supported by the National Science and Technology Major Project, China (Grant No. 2011ZX03005-002), the Shandong Academy of Science Development Fund for Science and Technology, China, and the Pilot Project for Science and Technology in Shandong Academy of Sciences, China.

Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback

Gu Wei-Dong (顾卫东), Sun Zhi-Yong (孙志勇), Wu Xiao-Ming (吴晓明), Yu Chang-Bin (于长斌)   

  1. Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China
  • Received:2012-11-13 Revised:2013-01-16 Online:2013-06-27 Published:2013-06-27
  • Contact: Sun Zhi-Yong E-mail:kfmuzik@126.com, sun.zhiyong.cn@gmail.com, sunzhy@sdas.org
  • Supported by:
    Project supported by the National Science and Technology Major Project, China (Grant No. 2011ZX03005-002), the Shandong Academy of Science Development Fund for Science and Technology, China, and the Pilot Project for Science and Technology in Shandong Academy of Sciences, China.

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摘要： In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal propagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.

关键词: adaptive feedback, time delay, lag synchronization, parameter identification, noise perturbation

Abstract: In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal propagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.

Key words: adaptive feedback, time delay, lag synchronization, parameter identification, noise perturbation

中图分类号:  (Time series analysis)

  • 05.45.Tp
05.45.Xt (Synchronization; coupled oscillators)