中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/20/6/060504

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Robust H∞ observer-based control for synchronization of a class of complex dynamical networks

郑海青1, 井元伟2   

  1. (1)School of Electrical and Electronics Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China; (2)School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • 收稿日期:2010-11-02 修回日期:2011-01-07 出版日期:2011-06-15 发布日期:2011-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60274099) and the National High Technology Research and Development Program of China (Grant No. 2004AA412030).

Robust H∞ observer-based control for synchronization of a class of complex dynamical networks

Zheng Hai-Qing(郑海青)a)† and Jing Yuan-Wei(井元伟)b)   

  1. a School of Electrical and Electronics Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China; b School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2010-11-02 Revised:2011-01-07 Online:2011-06-15 Published:2011-06-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60274099) and the National High Technology Research and Development Program of China (Grant No. 2004AA412030).

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摘要： This paper is concerned with the robust H∞ synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities (LMIs). The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation.

关键词: complex dynamical network, robust H∞ synchronization, Luré, system, decentralized observer

Abstract: This paper is concerned with the robust H∞ synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities (LMIs). The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation.

Key words: complex dynamical network, robust H∞ synchronization, Lur'e system, decentralized observer

中图分类号:  (Synchronization; coupled oscillators)

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