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延迟微分反馈法控制混沌 被引量:4

Chaos control using delayed differential feedback
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摘要 利用可测变量的微商进行反馈,提出了用延迟微分反馈控制(DDFC:DelayedDifferentialFeedbackControl)实现混沌控制的方法。理论证明了微分反馈控制和DDFC控制Lü系统3个平衡点的稳定可控性。在Matlab进行了数值仿真,结果表明,通过调节延迟时间τ和控制增益k,DDFC系统能自动寻找和稳定不同的不稳定周期轨道(UPO:UnstablePeriodicOrbit),实现混沌控制。 The controllability of the equilibriums of the controlled system with the differential feedback control is proved theoretically.DDFC(Delayed Differential Feedback Control) is presented.It takes the measurable differential variate as the feedback. The controllability of the equilibriums of the controlled system with the differential feedback and DDFC control is proved theoretically. The UPOs(Unstable Periodic Orbits) are found and stabilized by adjusting the gain k and delayed time τ in numerical simulations in Matlab.The control of chaos is realized.
作者 黄报星
出处 《吉林大学学报(信息科学版)》 CAS 2003年第4期362-365,共4页 Journal of Jilin University(Information Science Edition)
基金 武汉市科技计划资助项目(20015007090-11)
关键词 混沌系统 微分反馈 延迟 平衡点 Chaotic system Differential feedback Delayed Equilbrum point
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参考文献8

  • 1Lü JinHu Chen G Zhang S.Bridge the Gap Between the Lorenz System and the Chen System[J].Int J of Bifurcation and Chaos,2002,12(12):2-2.
  • 2Ott E, Grebogi C, York J. Controlling chaos [J]. Phys Lett, 1990, 64:1 196-1 199.
  • 3Ditto W D, Rauseo S N, Spano M L. Experimental control of chaos [J]. Phys Rev Lett, 1990, 65: 3 211-3 214.
  • 4Chen G R, Dong Xo From Chaos to Order: Methodologies, Perspectives and Applications [M]. Singapore: World Scientific, 1998.
  • 5陆君安,吕金虎,等.Parameter Identification and Tracking of a Unified System[J].Chinese Physics Letters,2002,19(5):632-635. 被引量:17
  • 6Lü JinHu, Chen G and Zhang S. Bridge the Gap Between the Lorenz System and the Chen System [J]. Int J of Bifurcation and Chaos, 2002, 12 (12): 2 917-2 926.
  • 7Agiza H N. Controlling chaos for the dynamical system of coupled dynamos[J]. Chaos Solitons and Fractals, 2000, 13:341-352.
  • 8Pyragas K. Continuours control of chaos by delayed self-controlling feedback [J]. Phys Lett A, 1992, 170: 421-428.

二级参考文献10

  • 1Chen G and Dong X 1998 From Chaos to Order: Methodologiess Perspectives and Applications (Singapore: World Scientific)
  • 2Lu J H, Lu J A and Chen S H 2002 Chaotic Time Series Analysis and Its Application (Wuhan: Wuhan University Press) (in Chinese)
  • 3Chen G and Ueta T 1999 Int. J. Bifurcation Chaos 9 1465
  • 4Lorenz E N 1963 J.Atmos.Sci 20 130
  • 5Vanecek A and Celikovsky S 1996 Control Systems: From Linear Analysis to Synthesis of Chaos (London: Prentice-Hall)
  • 6Lu J H and Chen G R 2002 Int J. Bifurcation Chaos 12 659
  • 7Lu J H, Chen G R, Zhang S C and Celikovsky S 2002 Int.J. Bifurcation Chaos 12(12) at press
  • 8Lu J H and Zhang S C 2001 Phys. Lett. A 286 148
  • 9Zheng Z G, Hu G and Hu B B 2001 Chin. Phys. Lett. 18 874
  • 10Wu S G, Sang H B and He K F 2001 Chin. Phys. Lett.18 341

共引文献17

同被引文献15

  • 1童培庆.混饨的自适应控制[J].物理学报,1995,44(2):169-176. 被引量:28
  • 2Ott E, Grebogi C, Yorke J A. Controlling chaos[J]. Phys. Rev. Lett, 1990,64:1 196-1 199.
  • 3Poon L, Grebog C. Controlling complexity[J]. Phys. Rev. Lett., 1995, (75):4 023-4 028.
  • 4Ditto W L, Pecora L M. Mastering chaos[J]. Scientific American, 1993,269(2):62-70.
  • 5Chen G,Ueta T. Yet another chaotic attractor[J]. Int. J. of Bifur. Chaos, 1999,9(6): 1 465-1 466.
  • 6Lu J, Chen G. A new chaotic attractor coined[J]. Int. J. Bifurc, Chaos, 2002,12(3) : 659-661.
  • 7Ueta T,Chen G R. Bifurcation analysis of Chen's equation[J]. Int. J. Bifurcation and Chaos,2000,10(8): 1 917-1 931.
  • 8Vanecek, Celikovsky S. Control systems: from linear analysis to synthesis of chaos [M]. London. Pretice-Hall, 1996.
  • 9罗晓曙,方锦清,孔令江,翁甲强.一种新的基于系统变量延迟反馈的控制混沌方法[J].物理学报,2000,49(8):1423-1427. 被引量:20
  • 10颜森林,伍仕宝,逄焕刚,孙小菡,张明德.混沌系统的注入反馈控制与动态控制方法研究[J].物理学报,2001,50(3):428-434. 被引量:17

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二级引证文献9

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