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基于LMI的参数未知时变时滞混沌系统模糊自适应H∞同步

杨东升 张化光 赵琰 宋崇辉 王迎春

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基于LMI的参数未知时变时滞混沌系统模糊自适应H∞同步

杨东升, 张化光, 赵琰, 宋崇辉, 王迎春

Fuzzy adaptive H∞ synchronization of time-varying delayed chaotic systems with unknown parameters based on LMI technique

Yang Dong-Sheng, Zhang Hua-Guang, Zhao Yan, Song Chong-Hui, Wang Ying-Chun
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  • 考虑一类结构相同但驱动系统参数未知的两个时变时滞混沌系统同步问题,提出了基于T-S模糊模型的模糊自适应H∞同步方法.基于Lyapunov稳定性理论和线性矩阵不等式技术,给出了驱动系统参数未知时变时滞混沌系统同步的充分条件.仿真结果表明了所提方法的有效性.
    The synchronization problem of two time-varying delayed chaotic systems with unknown parameters is studied. A novel fuzzy adaptive H∞ control method is proposed to realize the synchronization of two time-varying delayed chaotic systems based on Lyapunov functional theory and linear matrix inequality techniques. The sufficient criterion for the stability of the synchronization error system is presented. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
    • 基金项目: 国家自然科学基金(批准号: 60904046,60904017,60774093,60974141,60904101), 教育部长江学者和创新团队发展计划(批准号: IRT0421), 辽宁省教育厅科技项目(批准号: 2009A544)资助的课题.
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    [1]Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

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    [2]Yan S L 2005 Acta Phys. Sin. 54 1098 (in Chinese)[颜森林 2005 物理学报 54 1098]

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    [5]Zhao Y, Zhang H G, Zheng C D 2008 Chin. Phys. B 17 529

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    [6]Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 5136 (in Chinese)[王兴元、王明军 2007 物理学报 56 5136]

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    [7]Wang X Y, He Y J 2008 Acta Phys. Sin. 57 1485 (in Chinese)[王兴元、贺毅杰 2007 物理学报 57 1485]

    [8]

    [8]Yang D S, Zhang H G, Li A P, Meng Z Y 2007 Acta Phys. Sin. 56 3121 (in Chinese)[杨东升、张化光、李爱平、孟子怡 2007 物理学报 56 3121]

    [9]

    [9]Liu Y F, Yang X G, Miao D, Yuan R P 2007 Acta Phys. Sin. 56 6250 (in Chinese)[刘云峰、杨小冈、缪栋、袁润平2007 物理学报 56 6250]

    [10]

    ]Zhang H G, Zhao Y, Yu W, Yang D S 2008 Chin. Phys. B 17 4056

    [11]

    ]Meng J, Wang X Y 2009 Acta Phys. Sin. 58 819 (in Chinese)[孟娟、王兴元 2009 物理学报 58 819]

    [12]

    ]Wang X Y, Meng J 2009 Acta Phys. Sin. 58 3780 (in Chinese)[王兴元、孟娟 2009 物理学报 58 3780]

    [13]

    ]Kim J H, Shin H, Kim E, Park M 2005 Int. J. Bifur. & Chaos 15 2593

    [14]

    ]Zhou J, Chen T P, Xiang L 2006 Chaos, Solit. & Fract. 27 905

    [15]

    ]Qi W, Wang Y H 2009 Chin. Phys. B 18 1404

    [16]

    ]Wu R C 2009 Acta Phys. Sin. 58 139 (in Chinese)[吴然超 2009 物理学报 58 139]

    [17]

    ]Li T, Fei S M, Zhang K J 2008 Physica A 387 982

    [18]

    ]Li D, Zheng Z G 2008 Chin. Phys. B 17 4009

    [19]

    ]Ma T D, Zhang H G 2008 Chin. Phys. B 17 4407

    [20]

    ]Wang M J, Wang X Y 2009 Acta Phys. Sin. 58 11467 (in Chinese)[王明军、王兴元 2009 物理学报 58 1467]

  • [1]

    [1]Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [2]

    [2]Yan S L 2005 Acta Phys. Sin. 54 1098 (in Chinese)[颜森林 2005 物理学报 54 1098]

    [3]

    [3]Hu M F, Xu Z Y 2007 Chin. Phys. 16 3231

    [4]

    [4]Li N, Li J F 2008 Acta Phys. Sin. 57 6093(in Chinese)[李农、李建芬 2008 物理学报 57 6093]

    [5]

    [5]Zhao Y, Zhang H G, Zheng C D 2008 Chin. Phys. B 17 529

    [6]

    [6]Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 5136 (in Chinese)[王兴元、王明军 2007 物理学报 56 5136]

    [7]

    [7]Wang X Y, He Y J 2008 Acta Phys. Sin. 57 1485 (in Chinese)[王兴元、贺毅杰 2007 物理学报 57 1485]

    [8]

    [8]Yang D S, Zhang H G, Li A P, Meng Z Y 2007 Acta Phys. Sin. 56 3121 (in Chinese)[杨东升、张化光、李爱平、孟子怡 2007 物理学报 56 3121]

    [9]

    [9]Liu Y F, Yang X G, Miao D, Yuan R P 2007 Acta Phys. Sin. 56 6250 (in Chinese)[刘云峰、杨小冈、缪栋、袁润平2007 物理学报 56 6250]

    [10]

    ]Zhang H G, Zhao Y, Yu W, Yang D S 2008 Chin. Phys. B 17 4056

    [11]

    ]Meng J, Wang X Y 2009 Acta Phys. Sin. 58 819 (in Chinese)[孟娟、王兴元 2009 物理学报 58 819]

    [12]

    ]Wang X Y, Meng J 2009 Acta Phys. Sin. 58 3780 (in Chinese)[王兴元、孟娟 2009 物理学报 58 3780]

    [13]

    ]Kim J H, Shin H, Kim E, Park M 2005 Int. J. Bifur. & Chaos 15 2593

    [14]

    ]Zhou J, Chen T P, Xiang L 2006 Chaos, Solit. & Fract. 27 905

    [15]

    ]Qi W, Wang Y H 2009 Chin. Phys. B 18 1404

    [16]

    ]Wu R C 2009 Acta Phys. Sin. 58 139 (in Chinese)[吴然超 2009 物理学报 58 139]

    [17]

    ]Li T, Fei S M, Zhang K J 2008 Physica A 387 982

    [18]

    ]Li D, Zheng Z G 2008 Chin. Phys. B 17 4009

    [19]

    ]Ma T D, Zhang H G 2008 Chin. Phys. B 17 4407

    [20]

    ]Wang M J, Wang X Y 2009 Acta Phys. Sin. 58 11467 (in Chinese)[王明军、王兴元 2009 物理学报 58 1467]

计量
  • 文章访问数:  7877
  • PDF下载量:  1107
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-06-26
  • 修回日期:  2009-07-22
  • 刊出日期:  2010-03-15

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