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Synchronization with different structures of uncertain chaotic system

Shao Ke-Yong Ma Yong-Jing Wang Ting-Ting Liu Yuan-Hong Yang Li Gao Hong-Yu

Citation:

Synchronization with different structures of uncertain chaotic system

Shao Ke-Yong, Ma Yong-Jing, Wang Ting-Ting, Liu Yuan-Hong, Yang Li, Gao Hong-Yu
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  • Based on the finite time control Lyapunov function the synchronization control between unified chaotic system and chaotic Liu system with uncertain parameters and different structures is investigated. The feedback control law does not require to know the specific value of parameter, but only depends on the variation range of the parameter. Compared with existing control method, it can effectively overcome the effect of mismatched parameters, moreover, the feedback is relatively simple and robust. Simulation results verify the effectiveness of the proposed control method.
    • Funds: Project supported by the Department of Education Foundation of Heilongjiang Province(Grant No. 12521057).
    [1]

    Wang F Q, Liu C X 2006 Acta Phys. Sin.55 505 (in Chinese) [王发强, 刘崇新 2006 物理学报 55 505]

    [2]

    Liu Y Z, Jiang C S, Lin C S 2007 Acta Phys. Sin.56 707 (in Chinese) [刘杨正, 姜长生, 林长圣 2007 物理学报 56 707]

    [3]

    Salarieh H, Shahrokhi M 2008 Chaos Solitons and Fractals 37 125

    [4]

    Huang J 2008 Nonlinear Anal. 69 4174

    [5]

    Cai X S, Han Z Z 2005 IEE Proceedings Control Theory and Applications 52 79

    [6]

    Wang H, Han Z Z 2009 Ph. D. Dissertation (shanghai: Shanghai Jiao Tong University) (in Chinese) [王划, 韩正之 2009 博士学位论文(上海:上海交通大学)]

    [7]

    L J H, Chen G R, Cheng D Z 2002 Int. J. Bifurcat. Chaos 12 2719

    [8]

    Chong X L, Tao L, Ling L, Kai L 2004 Chaos Solitons and Fractals 22 1031

    [9]

    Hong Y G, Yang G B, Linda, Wang H 2000 IEEE Conference on Decision and Control 39 2908

    [10]

    Bhat S P, Bernstein D S 2005 Mathematics of Control, Signals, and Systems 17 101

  • [1]

    Wang F Q, Liu C X 2006 Acta Phys. Sin.55 505 (in Chinese) [王发强, 刘崇新 2006 物理学报 55 505]

    [2]

    Liu Y Z, Jiang C S, Lin C S 2007 Acta Phys. Sin.56 707 (in Chinese) [刘杨正, 姜长生, 林长圣 2007 物理学报 56 707]

    [3]

    Salarieh H, Shahrokhi M 2008 Chaos Solitons and Fractals 37 125

    [4]

    Huang J 2008 Nonlinear Anal. 69 4174

    [5]

    Cai X S, Han Z Z 2005 IEE Proceedings Control Theory and Applications 52 79

    [6]

    Wang H, Han Z Z 2009 Ph. D. Dissertation (shanghai: Shanghai Jiao Tong University) (in Chinese) [王划, 韩正之 2009 博士学位论文(上海:上海交通大学)]

    [7]

    L J H, Chen G R, Cheng D Z 2002 Int. J. Bifurcat. Chaos 12 2719

    [8]

    Chong X L, Tao L, Ling L, Kai L 2004 Chaos Solitons and Fractals 22 1031

    [9]

    Hong Y G, Yang G B, Linda, Wang H 2000 IEEE Conference on Decision and Control 39 2908

    [10]

    Bhat S P, Bernstein D S 2005 Mathematics of Control, Signals, and Systems 17 101

Metrics
  • Abstract views:  5052
  • PDF Downloads:  662
  • Cited By: 0
Publishing process
  • Received Date:  30 March 2012
  • Accepted Date:  26 August 2012
  • Published Online:  05 January 2013

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