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

柔性梁内平衡模型降阶与主动控制的实验研究

谢永 赵童 蔡国平

谢永, 赵童, 蔡国平. 柔性梁内平衡模型降阶与主动控制的实验研究[J]. 应用数学和力学, 2011, 32(8): 946-955. doi: 10.3879/j.issn.1000-0887.2011.08.005
引用本文: 谢永, 赵童, 蔡国平. 柔性梁内平衡模型降阶与主动控制的实验研究[J]. 应用数学和力学, 2011, 32(8): 946-955. doi: 10.3879/j.issn.1000-0887.2011.08.005
XIE Yong, ZHAO Tong, CAI Guo-ping. Model Reduction and Active Control of a Flexible Beam Using Internal Balance Technique[J]. Applied Mathematics and Mechanics, 2011, 32(8): 946-955. doi: 10.3879/j.issn.1000-0887.2011.08.005
Citation: XIE Yong, ZHAO Tong, CAI Guo-ping. Model Reduction and Active Control of a Flexible Beam Using Internal Balance Technique[J]. Applied Mathematics and Mechanics, 2011, 32(8): 946-955. doi: 10.3879/j.issn.1000-0887.2011.08.005

柔性梁内平衡模型降阶与主动控制的实验研究

doi: 10.3879/j.issn.1000-0887.2011.08.005
基金项目: 国家自然科学基金资助项目(11072146;11002087)
详细信息
    作者简介:

    谢永(1987- ),男,河北人,硕士生(E-mail:ghostxy@sjtu.edu.cn);蔡国平(1965- ),男,河南人,教授,博士,博士生导师(联系人.Tel:+86-21-34204798;E-mail:caigp@sjtu.edu.cn).

  • 中图分类号: O328

Model Reduction and Active Control of a Flexible Beam Using Internal Balance Technique

  • 摘要: 内平衡降阶方法能够有效地解决柔性结构的模型降阶问题,尤其是对于频率密集结构.然而由于存在如何从物理传感器测量中提取内平衡模态坐标的问题,目前关于内平衡降阶方法的研究大多是在理论上进行探索,少有实验研究和工程应用报道.该文以柔性梁为对象,开展内平衡降阶方法的理论与实验研究,并且基于降阶模型进行主动控制的设计.文中介绍了一个基于DSP TMS320F2812芯片的实验系统,提出了一个从物理传感器测量中提取内平衡模态坐标的近似方法,并且通过仿真与实验验证了该方法的可行性和有效性,基于降阶模型的控制设计能够有效地抑制梁的弹性振动.
  • [1] 缪炳祺, 曲广吉, 程道生. 柔性航天器的动力学建模问题[J]. 中国空间科学技术, 1999, 19(5): 35-40. (MIAO Bing-qi, QU Guang-ji, CHENG Dao-sheng. A study on dynamics modeling of flexible spacecraft[J]. Chinese Space Science and Technology, 1999, 19(5): 35-40. (in Chinese))
    [2] Hughes P C. Modal identities for elastic bodies with application to vehicle dynamics and control[J]. Journal of Applied Mechanics, 1980, 47(1): 177-184. doi: 10.1115/1.3153599
    [3] Skelton R E, Yousuff A. Component cost analysis of large scale systems[J]. International Journal of Control, 1983, 37(2): 285-304. doi: 10.1080/00207178308932973
    [4] Skelton R E, Gregory C Z. Measurement feedback and model reduction by modal cost analysis[C]Proceedings of the Joint Automatic Control Conference. USA: Denver, 1979: 211-218.
    [5] Moore B C. Principal component analysis in linear system: controllability, observability and model reduction[J]. IEEE Transaction on Automatic Control, 1981, 26(1): 17-31. doi: 10.1109/TAC.1981.1102568
    [6] Gregory C Z. Reduction of large flexible model using internal balancing theory[J]. Journal of Guidance, 1984, 7(6): 725-732. doi: 10.2514/3.19919
    [7] Jonckheere E A, Opdencker Ph. Singular value analysis balancing and model reduction of large space structures[C]American Control Conference. San Diego, CA, USA, 1984: 141-149.
    [8] Jonckheere E A. Principal component analysis of flexible system—open-loop case[J]. IEEE Transaction on Automatic Control, 1984, 29(12): 1059-1097.
    [9] Gawronski W, Williams T. Model reduction for flexible space structures[J]. Journal of Guidance, 1991, 14(1): 68-76. doi: 10.2514/3.20606
    [10] Williams T. Closed-form grammians and model reduction for flexible space structures[J]. IEEE Transaction on Automatic Control, 1990, 35(3): 379-382. doi: 10.1109/9.50365
    [11] Zhou K, Salomon G, Wu E. Balanced realization and model reduction for unstable system[J]. International Journal Robust Nonlinear Control, 1999, 9(3): 183-198. doi: 10.1002/(SICI)1099-1239(199903)9:3<183::AID-RNC399>3.0.CO;2-E
    [12] Laub A J. Computation of balancing transformations[C]Proceedings of the Joint Automatic Control Conference. San Francisco, CA, USA, FA8-E, 1980.
    [13] Bartels R H, Stewart G W. Solution of the matrix equation AX+XB=C [J]. Communications of the ACM, 1972, 15(9): 820-826. doi: 10.1145/361573.361582
    [14] 陈龙祥. 柔性结构振动的时滞反馈控制及其实验研究[D]. 博士学位论文. 上海: 上海交通大学, 2008. (CHEN Long-xiang. Delayed feedback control and experiment study of flexible structures[D]. PhD Dissertation. Shanghai: Shanghai Jiao Tong University, 2008. (in Chinese))
    [15] 韩京清, 袁露林. 跟踪微分器的离散形式[J]. 系统科学与数学, 1999, 19(3): 268-273. (HAN Jing-qing, YUAN Lu-lin. The discrete form of tracking-differentiator[J]. Journal of Systems Science and Mathematical Sciences, 1999, 19(3): 268-273. (in Chinese))
    [16] CHEN Long-xiang, CAI Guo-ping, PAN Ji. Experimental study of delayed feedback control for a flexible plate[J]. Journal of Sound and Vibration, 2009, 322(4/5): 629-651. doi: 10.1016/j.jsv.2008.11.045
  • 加载中
计量
  • 文章访问数:  1228
  • HTML全文浏览量:  118
  • PDF下载量:  817
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-01-14
  • 修回日期:  2011-06-17
  • 刊出日期:  2011-08-15

目录

    /

    返回文章
    返回