中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100506-100506.doi: 10.1088/1674-1056/22/10/100506

• GENERAL • 上一篇    下一篇

Chaos synchronization of a chain network based on a sliding mode control

柳爽a, 陈立群a b c   

  1. a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    b Department of Mechanics, Shanghai University, Shanghai 200444, China;
    c Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
  • 收稿日期:2013-03-24 修回日期:2013-04-13 出版日期:2013-08-30 发布日期:2013-08-30
  • 基金资助:
    Project supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 11232009) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

Chaos synchronization of a chain network based on a sliding mode control

Liu Shuang (柳爽)a, Chen Li-Qun (陈立群)a b c   

  1. a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    b Department of Mechanics, Shanghai University, Shanghai 200444, China;
    c Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
  • Received:2013-03-24 Revised:2013-04-13 Online:2013-08-30 Published:2013-08-30
  • Contact: Chen Li-Qun E-mail:lqchen@straff.shu.edu.cn
  • Supported by:
    Project supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 11232009) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

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摘要： A sliding mode control approach is proposed to implement the synchronization of the chain tree network. The double-scroll circuit chaos systems are treated as nodes and the network is constructed with the state variable coupling. By selecting a switching sliding surface, the chaos synchronization of the network is achieved with one control input only. The stability analysis and the numerical simulations demonstrate that the complete synchronization in a chain network can be realized for all nodes.

关键词: chaos synchronization, sliding mode control, Lyapunov stability, double-scroll circuit

Abstract: A sliding mode control approach is proposed to implement the synchronization of the chain tree network. The double-scroll circuit chaos systems are treated as nodes and the network is constructed with the state variable coupling. By selecting a switching sliding surface, the chaos synchronization of the network is achieved with one control input only. The stability analysis and the numerical simulations demonstrate that the complete synchronization in a chain network can be realized for all nodes.

Key words: chaos synchronization, sliding mode control, Lyapunov stability, double-scroll circuit

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)