A method of optimal system identification with applications in control (invited)

S. Weiland

doi:10.1109/CDC.1994.411358

A method of optimal system identification with applications in control (invited)

S. Weiland

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

Samenvatting

In this paper an optimal deterministic identification problem is solved in which a new measure for the misfit between data and system is minimized. It is shown that the misfit can be expressed as the Hankel norm of a specific operator. Optimal autonomous models are obtained by factorizing an optimal Hankel norm approximant of the Laplace transformed data matrix. An upper bound on the misfit between model and data is derived for a class of non-autonomous models of prescribed complexity. The identified autonomous systems are viewed as closed-loop behaviors of a feedback interconnection of two systems. Stability of these feedback interconnections is discussed.

Originele taal-2	Engels
Titel	33rd IEEE Conference on Decision and Control
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	2888-2894
Volume	3
ISBN van geprinte versie	0-7803-1968-0
DOI's	https://doi.org/10.1109/CDC.1994.411358
Status	Gepubliceerd - 1994
Evenement	33rd IEEE Conference on Decision and Control, 14-16 December 1994 Lake Buena Vista, FL, USA - Lake Buena Vista, Verenigde Staten van Amerika Duur: 14 dec. 1994 → 16 dec. 1994 Congresnummer: 33

Congres

Congres	33rd IEEE Conference on Decision and Control, 14-16 December 1994 Lake Buena Vista, FL, USA
Verkorte titel	CDC 1994
Land/Regio	Verenigde Staten van Amerika
Stad	Lake Buena Vista
Periode	14/12/94 → 16/12/94
Ander	33rd IEEE Conference on Decision and Control, 14-16 December 1994 Lake Buena Vista, FL, USA

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10.1109/CDC.1994.411358

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@inproceedings{8059b48480a743498e2570f190ede7bb,

title = "A method of optimal system identification with applications in control (invited)",

abstract = "In this paper an optimal deterministic identification problem is solved in which a new measure for the misfit between data and system is minimized. It is shown that the misfit can be expressed as the Hankel norm of a specific operator. Optimal autonomous models are obtained by factorizing an optimal Hankel norm approximant of the Laplace transformed data matrix. An upper bound on the misfit between model and data is derived for a class of non-autonomous models of prescribed complexity. The identified autonomous systems are viewed as closed-loop behaviors of a feedback interconnection of two systems. Stability of these feedback interconnections is discussed.",

author = "S. Weiland",

year = "1994",

doi = "10.1109/CDC.1994.411358",

language = "English",

isbn = "0-7803-1968-0",

volume = "3",

pages = "2888--2894",

booktitle = "33rd IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "33rd IEEE Conference on Decision and Control (CDC 1994), CDC 1994 ; Conference date: 14-12-1994 Through 16-12-1994",

}

Weiland, S 1994, A method of optimal system identification with applications in control (invited). in 33rd IEEE Conference on Decision and Control. vol. 3, Institute of Electrical and Electronics Engineers, Piscataway, blz. 2888-2894, 33rd IEEE Conference on Decision and Control, 14-16 December 1994 Lake Buena Vista, FL, USA, Lake Buena Vista, Florida, Verenigde Staten van Amerika, 14/12/94. https://doi.org/10.1109/CDC.1994.411358

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AU - Weiland, S.

N1 - Conference code: 33

PY - 1994

Y1 - 1994

N2 - In this paper an optimal deterministic identification problem is solved in which a new measure for the misfit between data and system is minimized. It is shown that the misfit can be expressed as the Hankel norm of a specific operator. Optimal autonomous models are obtained by factorizing an optimal Hankel norm approximant of the Laplace transformed data matrix. An upper bound on the misfit between model and data is derived for a class of non-autonomous models of prescribed complexity. The identified autonomous systems are viewed as closed-loop behaviors of a feedback interconnection of two systems. Stability of these feedback interconnections is discussed.

AB - In this paper an optimal deterministic identification problem is solved in which a new measure for the misfit between data and system is minimized. It is shown that the misfit can be expressed as the Hankel norm of a specific operator. Optimal autonomous models are obtained by factorizing an optimal Hankel norm approximant of the Laplace transformed data matrix. An upper bound on the misfit between model and data is derived for a class of non-autonomous models of prescribed complexity. The identified autonomous systems are viewed as closed-loop behaviors of a feedback interconnection of two systems. Stability of these feedback interconnections is discussed.

U2 - 10.1109/CDC.1994.411358

DO - 10.1109/CDC.1994.411358

M3 - Conference contribution

SN - 0-7803-1968-0

VL - 3

SP - 2888

EP - 2894

BT - 33rd IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 33rd IEEE Conference on Decision and Control (CDC 1994)

Y2 - 14 December 1994 through 16 December 1994

ER -

A method of optimal system identification with applications in control (invited)

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