搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

一个新的超混沌系统及其自适应追踪控制

李春来 禹思敏

引用本文:
Citation:

一个新的超混沌系统及其自适应追踪控制

李春来, 禹思敏

A new hyperchaotic system and its adaptive tracking control

Li Chun-Lai, Yu Si-Min
PDF
导出引用
  • 通过在一个三维混沌系统中加入状态反馈控制器, 构造出一个新的四维超混沌系统. 分析表明, 随着不同参数变化该系统呈现周期、复杂周期、准周期、混沌及超混沌运动. 同时设计出模拟电子电路对该超混沌系统进行了实验验证. 最后, 设计了一个自适应追踪控制器,实现了其对各种不同参考信号的单变量追踪控制.
    In this paper, a four-dimensional hyperchaotic system is constructed by adding a state feedback controller into a chaotic system. Numerical simulations and theoretical analysis show that this four-dimensional system will take on periodic,complex periodic, quasi-periodic chaotic hyperchaotic dynamical behaviours as parameters vary. Moreover, an electronic circuit diagram is designed for demonstrating the existence of the hyperchaos. Finally, an adaptive tracking controller is proposed to acquire adaptive tracking control for this hyperchaotic system.
    • 基金项目: 国家自然科学基金(批准号: 60572073,60871025)和广东省自然科学基金(批准号: 8151009001000060, 8351009001000002)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China(Grant Nos.60572073,60871025), and the Natural Science Foundation of Guangdong Province(Grant Nos.8151009001000060, 8351009001000002).
    [1]

    Lorenz E N 1963 J. Atmospheric Sci. 20 130

    [2]

    Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. CAS 33 1072

    [3]

    Chen G R, Ueta T 1999 Internat. J. Bifur. Chaos 9 1465

    [4]

    Lü J H, Chen G R 2002 Intenat. J. Bifur. Chaos 12 695

    [5]

    Liu C X, Liu L 2009 Chin. Phys. B 18 2188

    [6]

    Zhou P, Wei L, Cheng X 2009 Chin. Phys. B 18 2674

    [7]

    Si G Q, Cao H, Zhang Y B 2011 Chin. Phys. B 20 010509

    [8]

    Jia L X, Dai H, Hui M 2010 Chin. Phys. B 19 100501

    [9]

    Bao B C, Liu Z, Xu J P and Zhu L 2010 Acta Phys. Sin. 59 1540 (in Chinese) [包伯成, 刘中, 许建平, 朱雷 2010 物理学报 59 1540]

    [10]

    Yang Q G, Chen G R 2008 Internat. J. Bifur. Chaos 18 1393

    [11]

    Liu C X, Liu T, Liu K, Liu L 2004 Chaos,Solitons Fract. 22 1031

  • [1]

    Lorenz E N 1963 J. Atmospheric Sci. 20 130

    [2]

    Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. CAS 33 1072

    [3]

    Chen G R, Ueta T 1999 Internat. J. Bifur. Chaos 9 1465

    [4]

    Lü J H, Chen G R 2002 Intenat. J. Bifur. Chaos 12 695

    [5]

    Liu C X, Liu L 2009 Chin. Phys. B 18 2188

    [6]

    Zhou P, Wei L, Cheng X 2009 Chin. Phys. B 18 2674

    [7]

    Si G Q, Cao H, Zhang Y B 2011 Chin. Phys. B 20 010509

    [8]

    Jia L X, Dai H, Hui M 2010 Chin. Phys. B 19 100501

    [9]

    Bao B C, Liu Z, Xu J P and Zhu L 2010 Acta Phys. Sin. 59 1540 (in Chinese) [包伯成, 刘中, 许建平, 朱雷 2010 物理学报 59 1540]

    [10]

    Yang Q G, Chen G R 2008 Internat. J. Bifur. Chaos 18 1393

    [11]

    Liu C X, Liu T, Liu K, Liu L 2004 Chaos,Solitons Fract. 22 1031

计量
  • 文章访问数:  7669
  • PDF下载量:  894
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-04-24
  • 修回日期:  2011-06-14
  • 刊出日期:  2012-02-05

/

返回文章
返回