-
摘要:近几十年来, 时滞系统动力学的研究得到了众多学者的大量关注, 研究者在时滞系统的稳定性、非线性、辨识、时滞消除与利用技术等方面做了大量研究, 取得了许多成果. 本文主要介绍作者十多年来在时滞系统动力学方面的研究成果, 包括时滞辨识、两种基于时滞方程的控制律的设计方法、时滞鲁棒控制律的设计、时滞正反馈控制技术、非线性结构时滞控制律的设计、时滞实验等内容.Abstract:In recent decades, the studies on delayed system dynamics has been getting more and more attentions. Many researches have been done on the stability, nonlinearity, delay identi cation, delay compensation and delay utilization of time-delay systems. This paper outlines some advances in the authors' studies on time delay problems in recent years, including delay identi cation, two delay controllers based on time-delay dynamical equation, robust delay controller, delayed positive feedback technique, controller design for nonlinear time-delay structures and time delay experiments.
-
Key words:
- delayed feedback control/
- some advances
-
1 Hu H Y, Wang Z H. Dynamics of Controlled Mechanical Systems with Delayed Feedback. Berlin: Springer-Verlag,2002 2 郑远广, 王在华. 含时滞的快慢耦合系统的动力学研究进 展. 力学进展, 2011, 41(4): 400-410 3 徐鉴, 裴利军. 时滞系统动力学近期研究进展与展望. 力学 进展, 2006, 36(1): 17-30 4 胡海岩, 王在华. 非线性时滞动力系统的研究进展. 力学进 展, 1999, 29(4): 501-512 5 胡海岩. 振动主动控制中的时滞动力学问题. 振动工程学报,1997, 10(3): 273-279 6 Abdel-Rohman M. Time-delay effects on active damped structures. Journal of Engineering Mechanics, ASCE,1987, 113(11): 1709-1719 7 Chung L L, Reinhorn A M, Soong T T. Experiments on active control of seismic structures. Journal of Engineering Mechanics, ASCE, 1988, 114(2): 241-256 8 Mc Greery S, Soong T T, Reinhorn A M. An experiments study of time delay compensation in active structural control. In: Proceedings of the sixth International Modal Analysis Conference, SEM, 1988. 1733-1739 9 Cai G P, Huang J Z. Optimal control method for seismically excited building structures with time-delay in control. Journal of Engineering Mechanics, ASCE, 2002, 128(6):602-612 10 Cai G P, Huang J Z, Yang S X. An optimal control method for linear systems with time delay. Journal of Computers and Structures, 2003, 81(15): 1539-1546 11 陈龙祥, 蔡国平. 旋转运动柔性梁的时滞主动控制实验研究. 力学学报, 2008, 40(4): 520-527 12 Cai G P, Chen L X. Delayed feedback control experiments on some flexible structures. Acta Mechanica Sinica, 2010,26(6): 951-965 13 Chen L X, Cai G P, Pan J. Experimental study of delayed feedback control for a flexible plate. Journal of Sound and Vibration, 2009, 322: 629-651 14 陈龙祥. 结构振动的时滞反馈控制及其实验研究. [博士论 文]. 上海交通大学, 2009 15 陈龙祥, 蔡国平. 柔性梁受迫振动下的时滞变结构控制的实 验研究. 力学学报, 2009, 41(3): 410-417 16 Zhao T, Chen L X, Cai G P. Experimental study of H∞control for a flexible plate. Journal of Vibration and Control(in press, doi:10.1177/1077546311419986) 17 赵童, 陈龙祥, 蔡国平. 柔性板的时滞H1 控制的理论与实 验研究. 力学学报, 2011, 43(6): 1043-1053 18 Udwadia F E, van Bremen H F, Kumar R, et al. Time delayed control of structural systems. Earthquake Engineering and Structural Dynamics, 2003, 32: 495-535 19 Olgac N, McFarland D M, Holm-Hansen B T. Position feedback-induced resonance: the delayed resonator. ASME Winter Annual Meeting, 1992, 38: 113-119 20 Olgac N, Holm-Hansen B T. A novel active vibration absorption technique: delayed resonator. Journal of Sound and Vibration, 1994, 176(1): 93-104 21 Olgac N, Holm-Hansen B T. Design considerations for delayed-resonator vibration absorbers. Journal of Engineering Mechanics, 1995, 121: 80-89 22 赵艳影, 徐鉴. 时滞动力吸振器及其对主系统振动的影响. 振 动工程学报, 2006, 19(4): 548-552 23 赵艳影, 徐鉴. 时滞非线性动力吸振器的减振机理. 力学学 报, 2008, 40(1): 98-106 24 赵艳影, 徐鉴, 严志刚. 时滞对非线性饱和控制减振频带漂 移的影响. 力学学报, 2010, 42(4): 747-757 25 Cavdaroglu M E, Olgac N. Robust control of cartpendulum dynamics against uncertain multiple time delays. In: Proceedings of the American Control Conference,2008. 2178-2183 26 Cai G P, Lim C W. Optimal tracking control of flexible hub-beam system with time delay. Multibody System Dynamics, 2006, 16(4): 331-350 27 袁芳. 时滞反馈控制对悬臂输液管系统稳定性的影响. [硕士 论文]. 同济大学, 2008 28 王在华, 李俊余. 时滞状态正反馈在振动控制中的新特征. 力学学报, 2010, 40(5): 933-942 29 Wang Z H, Hu H Y. Calculation of the rightmost characteristic root of retarded time-delay systems via Lambert W function. Journal of Sound and Vibration, 2008, 318:757-767 30 Wang Z H, Hu H Y. Stabilization of vibration systems via delayed state difference feedback. Journal of Sound and Vibration, 2006, 296(1-2): 117-129 31 Xu J, Chung K W, Chan C L. An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. SIAM Journal of Applied Dynamical Systems, 2007, 6(1): 29-60 32 Xiao M, Cao J D. Bifurcation analysis and chaos control for Lu system with delayed feedback. International Journal of Bifurcation and Chaos, 2007, 17(12): 4309-4322 33 Xu J, Chung K W. Effects of time delayed position feedback on a van der Pol-Duffing oscillator. Physica D, 2003,18(1-2): 17-39 34 施继忠. 随机车辆纵向跟随系统的稳定性分析与控制. [博士 论文]. 成都: 西南交通大学, 2011 35 Liu Z H, Zhu W Q. Time-delay stochastic optimal control and stabilization of quasi-integrable Hamiltonian systems. Probabilistic Engineering Mechanics, 2012, 27(1): 29-34 36 Sun J Q. Method of continuous time approximation of delayed dynamical systems. Communications in Nonlinear Science and Numerical Simulation, 2008, 14(4): 998-1007 37 吴泉军. 复杂多个体时滞网络系统脉冲一致性的动力学与 控制. [博士论文]. 上海: 上海大学, 2010 38 Verduyn-Lunel S M. Identification problems in functional differential equations. Proceedings of the IEEE Conference on Decision and Control, 1997, 5: 4409-4413 39 Orlov Y, Belkoura L, Richard J P, et al. Adaptive identification of linear time-delay systems. International Journal of Robust and Nonlinear Control, 2003, 13(9): 857-872 40 Drakunov S V, Perruquetti W, Richard J P, et al. Delay identification in time-delay systems using variable structure observers. Annual Reviews in Control, 2006, 30: 143-158 41 胡海岩. 线性受控系统的反馈时滞可辨识性. 振动工程学报,2001, 14(2): 161-165 42 Gawthrop P J, Nihtila M T. Identification of time delays using a polynomial identification method. Systems & Control Letters, 1985, 5(4): 267-271 43 张文丰, 胡海岩. 含反馈时滞的非线性动力系统参数识别. 振动工程学报, 2001, 14(3): 314-318 44 潘峰, 冯冬梅, 韩如成. 基于遗传算法的时变时滞参数辨识. 仪器仪表学报(增刊), 2004, 25(4): 910-912 45 王家祥, 何信. 误差补偿和时滞辨识预测控制算法. 电子科 技大学学报, 2005, 34(6): 817-820 46 陈龙祥, 蔡国平. 基于粒子群算法的时滞动力学系统的时滞 辨识. 应用力学学报, 2010, 27(3): 433-437 47 孙增圻. 计算机控制理论及应用. 北京: 清华大学出版社,1989 48 Liu K, Chen L X, Cai G P. Experimental study of delayed positive feedback control for a flexible beam. Theoretical & Applied Mechanics Letters, 2011, 1(6): 063003 49 Liu K, Chen L X, Cai G P. Active control of a nonlinear and hysteretic building structure with time delay. Structural Engineering and Mechanics, 2011, 40(3): 431-451
点击查看大图
计量
- 文章访问数:2399
- HTML全文浏览量:176
- PDF下载量:1779
- 被引次数:0