On the use of compensated total least squares in system identification

被引:1
|
作者
Vandersteen, G [1 ]
机构
[1] Free Univ Brussels, TW ELEC, B-1050 Brussels, Belgium
关键词
generalized total least squares;
D O I
10.1109/TAC.1998.720868
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A bias-compensated total least squares estimator is proposed for models which are linear-in-the-parameters and nonlinear in the perturbed input and output signals. The estimates are obtained using a noniterative and numerically stable method. Strong consistency of both the generalized total least squares and the compensated total least squares estimates are proven. The theoretical properties are verified through simulations.
引用
收藏
页码:1436 / 1441
页数:6
相关论文
共 50 条
  • [1] On the use of compensated total least squares in system identification
    Vrije Universiteit Brussels, Brussels, Belgium
    IEEE Trans Autom Control, 10 (1436-1441):
  • [2] Application of structured total least squares for system identification
    Markovsky, I
    Willems, JC
    Van Huffel, S
    De Moor, B
    Pintelon, R
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3382 - 3387
  • [3] Consistency of system identification by global total least squares
    Heij, C
    Scherrer, W
    AUTOMATICA, 1999, 35 (06) : 993 - 1008
  • [4] On bias compensated least squares method for noisy input-output system identification
    Jia, LJ
    Ikenoue, M
    Jin, CZ
    Wada, K
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 3332 - 3337
  • [5] Linear system identification, structured total least squares and the Riemannian SVD
    DeMoor, B
    RECENT ADVANCES IN TOTAL LEAST SQUARES TECHNIQUES AND ERRORS-IN-VARIABLES MODELING, 1997, : 225 - 238
  • [6] Total least squares in fuzzy system identification: An application to an industrial engine
    Jakubek, Stefan
    Hametner, Christoph
    Keuth, Nikolaus
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2008, 21 (08) : 1277 - 1288
  • [7] Generalization of a total least squares problem in frequency domain system identification
    Balogh, L
    Kollár, I
    IMTC/2001: PROCEEDINGS OF THE 18TH IEEE INSTRUMENTATION AND MEASUREMENT TECHNOLOGY CONFERENCE, VOLS 1-3: REDISCOVERING MEASUREMENT IN THE AGE OF INFORMATICS, 2001, : 8 - 13
  • [8] Application of structured total least squares for system identification and model reduction
    Markovsky, I
    Willems, JC
    Van Huffel, S
    De Moor, B
    Pintelon, R
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (10) : 1490 - 1500
  • [9] IDENTIFICATION OF DYNAMICAL SYSTEM IN STATE SPACE: A TOTAL LEAST SQUARES APPROACH
    Petras, Ivo
    Bednarova, Dagmar
    PROCEEDINGS OF 11TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE, 2010, 2010, : 419 - 422
  • [10] Generalization of a total least squares problem in frequency-domain system identification
    Balogh, L
    Kollár, I
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2002, 51 (06) : 1353 - 1357