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Lur'e系统稳定与同步的脉冲控制

孙继涛 吴启迪

孙继涛, 吴启迪. Lur'e系统稳定与同步的脉冲控制[J]. 应用数学和力学, 2004, 25(3): 291-296.
引用本文: 孙继涛, 吴启迪. Lur'e系统稳定与同步的脉冲控制[J]. 应用数学和力学, 2004, 25(3): 291-296.
SUN Ji-tao, WU Qi-di. Impulsive Control for the Stabilization and Synchronization of Lur’e Systems[J]. Applied Mathematics and Mechanics, 2004, 25(3): 291-296.
Citation: SUN Ji-tao, WU Qi-di. Impulsive Control for the Stabilization and Synchronization of Lur’e Systems[J]. Applied Mathematics and Mechanics, 2004, 25(3): 291-296.

Lur'e系统稳定与同步的脉冲控制

基金项目: 973项目(2002CB312200);国家自然科学基金资助项目(79970030;60104004);上海市自然科学基金资助项目(03ZR14095)
详细信息
    作者简介:

    孙继涛(1963- ),男,江苏张家港人,教授,博士(联系人.Tel:86-21-51030747;E-mail:sunjt@sh163.net).

  • 中图分类号: O175.12

Impulsive Control for the Stabilization and Synchronization of Lur’e Systems

  • 摘要: 提出了Lur'e系统的脉冲控制系统.利用关于脉冲系统稳定的几个定理,得到了具变化的脉冲区间的Lur'e系统镇定的充分条件;并且给出了Lur'e系统的适当参数与脉冲控制律,使得两个Lur'e系统脉冲同步.最后,给出数值例子说明本文结论的有效性.
  • [1] Lakshmikantham V,Bainov D D,Simeonov P S.Theory of Impulsive Differential Equations[M].Singapore:World Scientific,1989.
    [2] Samoilenko A M,Perestyuk N A.Impulsive Differential Equations[M].Singapore: World Scientific,1995.
    [3] Yang T.Impulsive control[J].IEEE Trans Automat Contr,1999,44(5):1081—1083. doi: 10.1109/9.763234
    [4] Schweizer J,Kennedy M P.Predictive Poincare control: A control theory for chaotic systems[J].Phys Rev E,1995,52(5):4865—4867. doi: 10.1103/PhysRevE.52.4865
    [5] Hunt E R,Johnson G.Keeping chaos at bay[J].IEEE Spectrum,1993,30(11):32—36.
    [6] Stojanovski T,Kocarev L,Parlitz U.Driving and synchronizing by chaotic impulses[J].Phys Rev E,1996,43(9):782—785.
    [7] Yang T,Yang L B,Yang C M.Impulsive synchronization of Lorenz systems [J].Phys Lett A,1997,226(6):349—354. doi: 10.1016/S0375-9601(97)00004-2
    [8] Amirtkar R E,Gupte N.Synchronization of chaotic orbits:The effect of a finite time step[J].Phys Rev E(Statistical Physics,Plasmas,Fluids and Related Interdisciplinary,Topics),1993,47(6):3889—3895.
    [9] Yang T,.Chua L O.Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication [J].Int J Bifur Chaos,1997,7(3):645—664. doi: 10.1142/S0218127497000443
    [10] Yang T,Chua L O.Impulsive control and synchronization of chaotic systems and secure communication[R]. Electronics Research Laboratory, College of Engineering, University of California, Berkeley, CA 94720, Memorandum No. UCN/ERL M97/12, 29 January 1997.
    [11] Yang T,Yang L B,Yang C M.Impulsive control of Lorenz system[J].Phys D, 1997,110:18—24. doi: 10.1016/S0167-2789(97)00116-4
    [12] Yang T,Yang C M,Yang L B.Control of Rossler system to periodic motions using impulsive control methods [J].Phys Lett A,1997,232:356—361. doi: 10.1016/S0375-9601(97)00408-8
    [13] Yang T,Chua L O.Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication [J].IEEE Trans, Circuits Syst I,1997,44(10):976—988. doi: 10.1109/81.633887
    [14] Xie W X,Wen C Y,Li Z G.Impulsive control for the stabilization and synchronization of Lorenz systems [J].Phys Lett A,2000,275: 67—72. doi: 10.1016/S0375-9601(00)00584-3
    [15] Li Z G,Wen C Y,Soh Y C.Analysis and design of impulsive control systems [J].IEEE Trans Automat Contr,2001,46(6):894—903.
    [16] Vidyasagar M.Nonlinear Systems Analysis [M]. London:Prentice-Hall,1993.
    [17] Grujic L J T,Petkovski D J.On robustness of Lur'e systems with multiple non-linearities[J].Automatica,1987,23:327—334. doi: 10.1016/0005-1098(87)90006-9
    [18] Tesk A,Vicino A.Robust absolute stability of Lur'e control systems in parameter space [J].Automatica,1991,27(1):147—151. doi: 10.1016/0005-1098(91)90013-R
    [19] Dahleh M,Tesk A,Vicino A.On the robust Popov criterion for interval Lur'e system [J].IEEE Tansactions on Automatic Control,1993,38:1400—1405. doi: 10.1109/9.237655
    [20] Mori T,Nishimura T, Kuroe Y,et al.Comments on `On the robust Popov criterion for interval Lur'e system'[J].IEEE Tansactions on Automatic Control,1995,40:136—137. doi: 10.1109/9.362884
    [21] Wada T,Ikeda M, Ohta Y,et al.Parametric absolute stability of Lur'e systems[J].IEEE Tansactions on Automatic Control,1998,43(11):1649—1653. doi: 10.1109/9.728889
    [22] Konishi K,Kokame H.Robust stability of Lur'e systems with time-varying uncertainties: a linear matrix inequality approach [J].Int J Systems Science,1999,30(1):3—9. doi: 10.1080/002077299292605
    [23] Ugrinovskii V A,Petersen I R.Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions[J].Automatica,2000,36:279—285. doi: 10.1016/S0005-1098(99)00139-9
    [24] Wada T,Ikeda M, Ohta Y,et al. Parametric absolute stability of multivariable Lur'e systems [J].Automatica,2000,36:1365—1372. doi: 10.1016/S0005-1098(00)00052-2
    [25] 孙继涛,邓飞其,刘永清.具滞后的区间Lurie型系统的鲁棒绝对稳定性[J].系统工程与电子技术,2001,23(3):47—50.
    [26] 孙继涛,邓飞其,刘永清.不确定Lurie控制系统的绝对稳定性[J].系统工程与电子技术,2001,23(8):58—60.
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出版历程
  • 收稿日期:  2002-10-26
  • 修回日期:  2003-11-20
  • 刊出日期:  2004-03-15

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