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不确定混沌系统的异结构同步

邵克勇 马永晶 王婷婷 刘远红 杨莉 高宏宇

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不确定混沌系统的异结构同步

邵克勇, 马永晶, 王婷婷, 刘远红, 杨莉, 高宏宇

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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  • 基于有限时间控制Lyapunov函数,研究了统一混沌系统与具有不确定参数Liu混沌系统的异结构同步控制, 其控制律不需要知道参数的具体数值,只依赖参数的变化范围.与现有控制方法相比, 可有效克服较大参数误差对同步的影响,同时设计比较简单,鲁棒性较强.仿真结果证明了控制方法的有效性.
    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.
    • 基金项目: 黑龙江省教育厅基金(批准号: 12521057)资助的课题.
    • 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

计量
  • 文章访问数:  5053
  • PDF下载量:  662
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-03-30
  • 修回日期:  2012-08-26
  • 刊出日期:  2013-01-05

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