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

基于ARMA时序模型的结构参数识别集员算法

王晓军 邱志平 武哲

王晓军, 邱志平, 武哲等 . 基于ARMA时序模型的结构参数识别集员算法[J]. 北京航空航天大学学报, 2007, 33(11): 1345-1348.
引用本文: 王晓军, 邱志平, 武哲等 . 基于ARMA时序模型的结构参数识别集员算法[J]. 北京航空航天大学学报, 2007, 33(11): 1345-1348.
Wang Xiaojun, Qiu Zhiping, Wu Zheet al. Set-membership algorithm for identification of structural parameters based on ARMA time-series model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(11): 1345-1348. (in Chinese)
Citation: Wang Xiaojun, Qiu Zhiping, Wu Zheet al. Set-membership algorithm for identification of structural parameters based on ARMA time-series model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(11): 1345-1348. (in Chinese)

基于ARMA时序模型的结构参数识别集员算法

基金项目: 国家杰出青年科学基金资助项目(10425208); 高等学校学科创新引智计划资助项目(B07009); 航空科学基金资助项目(2007ZA51003)
详细信息
    作者简介:

    王晓军(1978-),男,陕西岐山人,博士后,XJWang@buaa.edu.cn.

  • 中图分类号: TB 123

Set-membership algorithm for identification of structural parameters based on ARMA time-series model

  • 摘要: 研究在时域内利用含噪声观测数据识别结构参数问题.建立了与结构振动微分方程等价的自回归滑动平均(ARMA, Autoregressive Moving-Average)时序模型,将结构参数识别问题转换为ARMA模型参数辨识问题.在不确定但有界(UBB, Unknown-But-Bounded)噪声假设下,基于线性时不变系统参数集员辨识的区间算法,寻求与观测数据和噪声相容的参数的最小超长方体(或区间向量),进而得到结构参数的估计值.通过数值算例,将本文算法与最小二乘算法进行了比较,显示了其可行性和有效性.

     

  • [1] Berman A, Flannelly W G. Theory of incomplete models of dynamic structures[J]. AIAA Journal, 1971, 9(8): 1481-1487 [2] 唐秀近, 袁景侠. 时序分析与数字仿真在结构参数识别中的应用[J]. 大连工学院学报, 1984, 23(2): 9-17 Tang Xiujin, Yuan Jingxia. The application of time series analysis and computer simulation for parameter identification of structural system[J]. Journal of Dalian University of Technology, 1984, 23(2): 9-17(in Chinese) [3] Ohsumi A, Nakano N. Identification of physical parameters of a flexible structure from noisy measurement data[J]. Transactions on Instrumentation and Measurement, 2002, 51(5): 923-929 [4] Eykhoff P. System identification-parameter and state estimation[M]. New York: Wiley, 1974 [5] Goodwin G C, Payne R L. Dynamic system identification[M]. New York: Academic, 1977 [6] Fogel E. System identification via membership set constraints with energy constrained noise[J]. IEEE Transactions on Automatic Control, 1979, AC-24: 752-758 [7] Fogel E, Huang Y F. On the value of information in system identification-Bounded noise case[J]. Automatica, 1982, 18(2): 229-238 [8] Milanese M, Belforte G. Estimation theory and uncertainty intervals evaluation in present of unknown but bounded errors: linear families of models and estimators[J]. IEEE Transactions on Automatic Control, 1982, AC-27: 408-414 [9] 孙先仿. 集员辨识-算法、收敛性和鲁棒性 . 北京: 中国科学院自动化研究所, 1994 Sun Xianfang. Set membership identification-algorithm, convergence, robustness . Beijing: Institute of Automation, Chinese Academy of Sciences, 1994(in Chinese) [10] 王晓军, 邱志平. 线性时不变系统集员辨识的区间算法[J]. 力学学报, 2005, 37(6): 713-718 Wang Xiaojun, Qiu Zhiping. Interval algorithm for membership-set identification of linear time-invariant system[J]. Acta Mechanica Sinica, 2005, 37(6): 713-718(in Chinese) [11] Qiu Z P, Wang X J, Chen J Y. Exact bounds for the static response set of structures with uncertain-but-bounded parameters[J]. International Journal of Solids and Structures, 2006, 43(21): 6574-6593 [12] Moore R E. Methods and applications of interval analysis[M]. London: Prentice-Hall, Inc, 1979 [13] 邱薇, 邱志平, 王晓军. 复合材料层合梁自由振动的区间分析[J]. 北京航空航天大学学报, 2006, 32(7): 838-842 Qiu Wei, Qiu Zhiping, Wang Xiaojun. Interval analysis for free vibration of composite laminated beams[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(7): 838-842(in Chinese)
  • 加载中
计量
  • 文章访问数:  2824
  • HTML全文浏览量:  76
  • PDF下载量:  1055
  • 被引次数: 0
出版历程
  • 收稿日期:  2006-12-04
  • 网络出版日期:  2007-11-30

目录

    /

    返回文章
    返回
    常见问答