Least-costly experiment design for uni-parametric linear models: an analytic approach

M. G. Potters; M. Forgione; X. Bombois; P. M J van den Hof

doi:10.1109/ECC.2015.7330648

Least-costly experiment design for uni-parametric linear models: an analytic approach

M. G. Potters, M. Forgione, X. Bombois, P. M J van den Hof

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

1 Citation (Scopus)

Abstract

Least-costly experiment design has received ample attention over the past decades, and efficient numerical algorithms that can compute optimal excitation spectra for linear models have been found. The interpretation of such spectra, however, has received far less attention. We restrict ourselves to uni-parametric models, for which an analytical solution to the experiment design problem is derived. This solution enables us to address, among other things, the following questions: What determines the frequency and amplitude of the excitation signal? Does the optimal frequency depend on the location(s) that the parameter occupies in the transfer function? With the optimal signal, is a closed-loop identification experiment cheaper than an open-loop one?

Original language	English
Title of host publication	2015 European Control Conference, ECC 2015
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	848-853
Number of pages	6
ISBN (Print)	978-3-9524269-3-7
DOIs	https://doi.org/10.1109/ECC.2015.7330648
Publication status	Published - 16 Nov 2015
Event	14th European Control Conference, ECC 2015 - Johannes Kepler University, Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015 Conference number: 14 http://www.ecc15.at/

Conference

Conference	14th European Control Conference, ECC 2015
Abbreviated title	ECC 2015
Country/Territory	Austria
City	Linz
Period	15/07/15 → 17/07/15
Other	European Control Conference
Internet address	http://www.ecc15.at/

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title = "Least-costly experiment design for uni-parametric linear models: an analytic approach",

abstract = "Least-costly experiment design has received ample attention over the past decades, and efficient numerical algorithms that can compute optimal excitation spectra for linear models have been found. The interpretation of such spectra, however, has received far less attention. We restrict ourselves to uni-parametric models, for which an analytical solution to the experiment design problem is derived. This solution enables us to address, among other things, the following questions: What determines the frequency and amplitude of the excitation signal? Does the optimal frequency depend on the location(s) that the parameter occupies in the transfer function? With the optimal signal, is a closed-loop identification experiment cheaper than an open-loop one?",

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Potters, MG, Forgione, M, Bombois, X & van den Hof, PMJ 2015, Least-costly experiment design for uni-parametric linear models: an analytic approach. in 2015 European Control Conference, ECC 2015., 7330648, Institute of Electrical and Electronics Engineers, Piscataway, pp. 848-853, 14th European Control Conference, ECC 2015, Linz, Austria, 15/07/15. https://doi.org/10.1109/ECC.2015.7330648

Least-costly experiment design for uni-parametric linear models: an analytic approach. / Potters, M. G.; Forgione, M.; Bombois, X. et al.

2015 European Control Conference, ECC 2015. Piscataway : Institute of Electrical and Electronics Engineers, 2015. p. 848-853 7330648.

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

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T1 - Least-costly experiment design for uni-parametric linear models: an analytic approach

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AU - Bombois, X.

AU - van den Hof, P. M J

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Y1 - 2015/11/16

N2 - Least-costly experiment design has received ample attention over the past decades, and efficient numerical algorithms that can compute optimal excitation spectra for linear models have been found. The interpretation of such spectra, however, has received far less attention. We restrict ourselves to uni-parametric models, for which an analytical solution to the experiment design problem is derived. This solution enables us to address, among other things, the following questions: What determines the frequency and amplitude of the excitation signal? Does the optimal frequency depend on the location(s) that the parameter occupies in the transfer function? With the optimal signal, is a closed-loop identification experiment cheaper than an open-loop one?

AB - Least-costly experiment design has received ample attention over the past decades, and efficient numerical algorithms that can compute optimal excitation spectra for linear models have been found. The interpretation of such spectra, however, has received far less attention. We restrict ourselves to uni-parametric models, for which an analytical solution to the experiment design problem is derived. This solution enables us to address, among other things, the following questions: What determines the frequency and amplitude of the excitation signal? Does the optimal frequency depend on the location(s) that the parameter occupies in the transfer function? With the optimal signal, is a closed-loop identification experiment cheaper than an open-loop one?

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BT - 2015 European Control Conference, ECC 2015

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T2 - 14th European Control Conference, ECC 2015

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ER -

Least-costly experiment design for uni-parametric linear models: an analytic approach

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