Quantification of frequency domain error bounds with guaranteed confidence level in prediction error identification

Systems and Control Letters

Volumn 54, Issue 5, 2005, Pages 471-482

  Bombois, X ^a   Anderson, B D O ^b   Gevers, M ^c  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Confidence region; Error bounds; Identification for control; Prediction error identification; Uncertainty estimation

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FREQUENCY DOMAIN ANALYSIS; FREQUENCY RESPONSE; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBABILITY; UNCERTAIN SYSTEMS; VECTORS;

CONFIDENCE REGION; ERROR BOUNDS; IDENTIFICATION FOR CONTROL; PREDICTION ERROR (PE) IDENTIFICATION; UNCERTAINTY ESTIMATION;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 15844401277     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2004.09.011     Document Type: Article

References (17)

1. P. Andersen, S. Töffner-Clausen, and T.S. Pedersen Estimation of frequency domain model uncertainties with application to robust control design Proceedings of IFAC Symposium on System Identification, Copenhagen 1994 603 608
2. X. Bombois, Connecting prediction error identification and robust control analysis: a new framework, Ph.D. Thesis, Université Catholique de Louvain, 2000.
3. D.K. de Vries, and P.M.J. Van den Hof Quantification of uncertainty in transfer function estimation a mixed probabilistic - worst-case approach Automatica 31 1995 543 558
4. G.C. Goodwin, M. Gevers, and B. Ninness Quantifying the error in estimated transfer functions with application to model order selection IEEE Trans. Automat. Control 37 1992 913 928
5. R.G. Hakvoort, and P.M.J. Van den Hof Identification of probabilistic system uncertainty regions by explicit evaluation of bias and variance errors IEEE Trans. Automat. Control 42 11 1997 1516 1528
6. L. Ljung Model validation and model error modeling B. Wittenmark A. Rantzer Proceedings of the Åström Symposium on Control 1999 Lund Sweden, Studentliteratur 15 42
7. L. Ljung System Identification Theory for the User second ed. 1999 Prentice-Hall Englewood Cliffs, NJ
8. L. Ljung, Model error modeling and control design, in: CD-ROM Proceedings of IFAC Symposium on System Identification, paper WeAM1-3, Santa Barbara, California, 2000.
9. E.B. Manoukian Modern Concepts and Theorems of Mathematical Statistics 1986 Springer New York
10. B. Ninness, and F. Gustafsson A unifying construction of orthonormal bases for system identification IEEE Trans. Automat. Control 42 4 1997 515 521
11. F. Tjärnström, Computing uncertainty regions with simultaneous confidence degree using bootstrap, in: Proceedings of IFAC Symposium on System Identification, Santa Barbara, 2000, pp. 1133-1138.
12. F. Tjärnström, U. Forssell, Comparison of methods for probabilistic bounding, in: Proceedings of IEEE Conference on Decision and Control, Phoenix, 1999, pp. 522-527.
13. S. Toffner-Clausen, P. Andersen, J. Stoustrup, H.H. Niemann, Estimated frequency domain model uncertainties used in robust controller design - a μ -approach, in: Proceedings of IEEE Conference on Control Applications, Glasgow, 1994, pp. 1585-1590.
14. B. Wahlberg System identification using Laguerre models IEEE Trans. Automat. Control 36 5 1991 551 562
15. B. Wahlberg System identification using Kautz models IEEE Trans. Automat. Control 39 6 1994 1276 1282
16. ∞ approach, in: CD-ROM Proceedings of 39th Conference on Decision and Control, Sydney, Australia, 2000.
17. K. Zhou, J.C. Doyle, and K. Glover Robust and Optimal Control 1995 Prentice-Hall Englewood Cliffs, NJ