On an optimal choice of input for the identification of continuous-time transfer functions

被引:0
作者
Iwase, M [1 ]
Hara, T [1 ]
Hatakeyama, S [1 ]
机构
[1] Tokyo Denki Univ, Dept Comp & Syst Sci, Hatoyama, Saitama 3500394, Japan
来源
IECON'03: THE 29TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOLS 1 - 3, PROCEEDINGS | 2003年
关键词
optimal input; identification; continous-time system;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we present an optimal input design method for the identification of single input single output continuous-time transfer functions. As a criterion of optimality, singular values of a data matrix, which represents the input-output relation of the transfer function in the kernel form, are used. If an input maximizes the second smallest singular value, the distance between signal space and noise space is maximum, and the input is regarded as optimal. In the proposed algorithm, we show that this optimal input design problem can be rewritten as that for discrete-time systems proposed by Antoulas et al.[1], [2], [3], if the input is approximated by the finite Fourier series expansion. Through numerical examples, its effectiveness is verified.
引用
收藏
页码:2393 / 2398
页数:6
相关论文
共 12 条
  • [1] Antoulas AC, 1998, IEEE DECIS CONTR P, P3378, DOI 10.1109/CDC.1998.758223
  • [2] On the choice of inputs in identification for robust control
    Antoulas, AC
    Anderson, BDO
    [J]. AUTOMATICA, 1999, 35 (06) : 1009 - 1031
  • [3] ANTOULAS AC, 1997, P IFAC C SYSID 97 KY, P1707
  • [4] Gawthrop P. J., 1990, ENG CONTROL SERIES
  • [5] GAWTHROP PJ, 1987, ENG CONTROL SERIES, V1
  • [6] Haverkamp BRJ, 1996, IEEE DECIS CONTR P, P1539, DOI 10.1109/CDC.1996.572741
  • [7] HAVERKAMP BRJ, 1997, P 11 IFAC S SYST ID, P1143
  • [8] IIKUBO H, 2002, P SICE ANN C OS CD R
  • [9] IWASE M, 2002, P IECON 02 NOV 5 8 S
  • [10] KATAYAMA T, 1994, INTRO SYSTEM IDENTIF, P39