On numerically reliable frequency-domain system identification: new connections and a comparison of methods

R.J. Voorhoeve; T.A.E. Oomen; R.M.A. van Herpen; M. Steinbuch

doi:10.3182/20140824-6-ZA-1003.02264

On numerically reliable frequency-domain system identification: new connections and a comparison of methods

R.J. Voorhoeve, T.A.E. Oomen, R.M.A. van Herpen, M. Steinbuch

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

6 Citations (Scopus)

1 Downloads (Pure)

Abstract

Frequency domain identification of complex systems imposes important challenges with respect to numerically reliable algorithms. This is evidenced by the use of different rational and data-dependent basis functions in the literature. The aim of this paper is to compare these different methods and to establish new connections. This leads to two new identification algorithms. The conditioning and convergence properties of the considered methods are investigated on simulated and experimental data. The results reveal interesting convergence differences between (nonlinear) least squares and instrumental variable methods. In addition, the results shed light on the conditioning associated with so-called frequency localising basis functions, vector fitting algorithms, and (bi)-orthonormal basis functions.

Original language	English
Title of host publication	Proceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa
Publisher	Elsevier
Pages	10018-10023
Number of pages	6
DOIs	https://doi.org/10.3182/20140824-6-ZA-1003.02264
Publication status	Published - 2014
Event	19th World Congress of the International Federation of Automatic Control (IFAC 2014 World Congress) - Cape Town International Convention Centre, Cape Town, South Africa Duration: 24 Aug 2014 → 29 Aug 2014 Conference number: 19 http://www.ifac2014.org

Publication series

Name	IFAC Proceedings Volumes
Publisher	Elsevier
Number	3
Volume	47
ISSN (Electronic)	1474-6670

Conference

Conference	19th World Congress of the International Federation of Automatic Control (IFAC 2014 World Congress)
Abbreviated title	IFAC 2014
Country/Territory	South Africa
City	Cape Town
Period	24/08/14 → 29/08/14
Internet address	http://www.ifac2014.org

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10.3182/20140824-6-ZA-1003.02264

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Voorhoeve, R. J., Oomen, T. A. E., van Herpen, R. M. A., & Steinbuch, M. (2014). On numerically reliable frequency-domain system identification: new connections and a comparison of methods. In Proceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa (pp. 10018-10023). (IFAC Proceedings Volumes; Vol. 47, No. 3). Elsevier. https://doi.org/10.3182/20140824-6-ZA-1003.02264

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abstract = "Frequency domain identification of complex systems imposes important challenges with respect to numerically reliable algorithms. This is evidenced by the use of different rational and data-dependent basis functions in the literature. The aim of this paper is to compare these different methods and to establish new connections. This leads to two new identification algorithms. The conditioning and convergence properties of the considered methods are investigated on simulated and experimental data. The results reveal interesting convergence differences between (nonlinear) least squares and instrumental variable methods. In addition, the results shed light on the conditioning associated with so-called frequency localising basis functions, vector fitting algorithms, and (bi)-orthonormal basis functions.",

author = "R.J. Voorhoeve and T.A.E. Oomen and {van Herpen}, R.M.A. and M. Steinbuch",

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Voorhoeve, RJ, Oomen, TAE, van Herpen, RMA & Steinbuch, M 2014, On numerically reliable frequency-domain system identification: new connections and a comparison of methods. in Proceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa. IFAC Proceedings Volumes, no. 3, vol. 47, Elsevier, pp. 10018-10023, 19th World Congress of the International Federation of Automatic Control (IFAC 2014 World Congress), Cape Town, South Africa, 24/08/14. https://doi.org/10.3182/20140824-6-ZA-1003.02264

On numerically reliable frequency-domain system identification: new connections and a comparison of methods. / Voorhoeve, R.J.; Oomen, T.A.E.; van Herpen, R.M.A. et al.
Proceedings of the IFAC 19th Triennial World Congress, 24-29 August 2014, Cape Town, South Africa. Elsevier, 2014. p. 10018-10023 (IFAC Proceedings Volumes; Vol. 47, No. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Oomen, T.A.E.

AU - van Herpen, R.M.A.

AU - Steinbuch, M.

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PY - 2014

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AB - Frequency domain identification of complex systems imposes important challenges with respect to numerically reliable algorithms. This is evidenced by the use of different rational and data-dependent basis functions in the literature. The aim of this paper is to compare these different methods and to establish new connections. This leads to two new identification algorithms. The conditioning and convergence properties of the considered methods are investigated on simulated and experimental data. The results reveal interesting convergence differences between (nonlinear) least squares and instrumental variable methods. In addition, the results shed light on the conditioning associated with so-called frequency localising basis functions, vector fitting algorithms, and (bi)-orthonormal basis functions.

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DO - 10.3182/20140824-6-ZA-1003.02264

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ER -

On numerically reliable frequency-domain system identification: new connections and a comparison of methods

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