Direct and indirect continuous-time identification in dynamic networks

A.G. Dankers; P.M.J. Van den Hof; X.J.A. Bombois

doi:10.1109/CDC.2014.7039905

Direct and indirect continuous-time identification in dynamic networks

A.G. Dankers, P.M.J. Van den Hof, X.J.A. Bombois

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

1 Citation (Scopus)

3 Downloads (Pure)

Abstract

Many systems can be modelled as networks of interconnected continuous-time transfer functions. The coefficients of the transfer functions in the network are often directly related to physical properties of the system. Thus, the question we consider is: under what conditions is it possible to obtain a consistent estimate of a continuous-time transfer function embedded in a dynamic network? We consider both direct and indirect continuous-time approaches. We show that a discrete-time model of a continuous-time data generating system may have a different interconnection structure (due to aliasing) and may have algebraic loops (due to the intersample behaviour). Subsequently we present an instrumental variable based method to directly identify a continuous-time transfer function embedded in a network.

Original language	English
Title of host publication	Proceedings of the 53rd IEEE Conference on Decision and Control, 15-17 December 2014, Los Angeles, California
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	3334-3339
ISBN (Print)	978-1-4799-7746-8
DOIs	https://doi.org/10.1109/CDC.2014.7039905
Publication status	Published - 2015
Event	53rd IEEE Conference on Decision and Control, CDC 2014 - "J.W. Marriott Hotel", Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014 Conference number: 53 http://cdc2014.ieeecss.org/

Conference

Conference	53rd IEEE Conference on Decision and Control, CDC 2014
Abbreviated title	CDC
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14
Internet address	http://cdc2014.ieeecss.org/

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10.1109/CDC.2014.7039905

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title = "Direct and indirect continuous-time identification in dynamic networks",

abstract = "Many systems can be modelled as networks of interconnected continuous-time transfer functions. The coefficients of the transfer functions in the network are often directly related to physical properties of the system. Thus, the question we consider is: under what conditions is it possible to obtain a consistent estimate of a continuous-time transfer function embedded in a dynamic network? We consider both direct and indirect continuous-time approaches. We show that a discrete-time model of a continuous-time data generating system may have a different interconnection structure (due to aliasing) and may have algebraic loops (due to the intersample behaviour). Subsequently we present an instrumental variable based method to directly identify a continuous-time transfer function embedded in a network.",

author = "A.G. Dankers and {Van den Hof}, P.M.J. and X.J.A. Bombois",

year = "2015",

doi = "10.1109/CDC.2014.7039905",

language = "English",

isbn = "978-1-4799-7746-8",

pages = "3334--3339",

booktitle = "Proceedings of the 53rd IEEE Conference on Decision and Control, 15-17 December 2014, Los Angeles, California",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "53rd IEEE Conference on Decision and Control, CDC 2014, CDC ; Conference date: 15-12-2014 Through 17-12-2014",

url = "http://cdc2014.ieeecss.org/",

}

Dankers, AG, Van den Hof, PMJ & Bombois, XJA 2015, Direct and indirect continuous-time identification in dynamic networks. in Proceedings of the 53rd IEEE Conference on Decision and Control, 15-17 December 2014, Los Angeles, California. Institute of Electrical and Electronics Engineers, Piscataway, pp. 3334-3339, 53rd IEEE Conference on Decision and Control, CDC 2014, Los Angeles, California, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039905

Direct and indirect continuous-time identification in dynamic networks. / Dankers, A.G.; Van den Hof, P.M.J.; Bombois, X.J.A.
Proceedings of the 53rd IEEE Conference on Decision and Control, 15-17 December 2014, Los Angeles, California. Piscataway: Institute of Electrical and Electronics Engineers, 2015. p. 3334-3339.

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

TY - GEN

T1 - Direct and indirect continuous-time identification in dynamic networks

AU - Dankers, A.G.

AU - Van den Hof, P.M.J.

AU - Bombois, X.J.A.

N1 - Conference code: 53

PY - 2015

Y1 - 2015

N2 - Many systems can be modelled as networks of interconnected continuous-time transfer functions. The coefficients of the transfer functions in the network are often directly related to physical properties of the system. Thus, the question we consider is: under what conditions is it possible to obtain a consistent estimate of a continuous-time transfer function embedded in a dynamic network? We consider both direct and indirect continuous-time approaches. We show that a discrete-time model of a continuous-time data generating system may have a different interconnection structure (due to aliasing) and may have algebraic loops (due to the intersample behaviour). Subsequently we present an instrumental variable based method to directly identify a continuous-time transfer function embedded in a network.

AB - Many systems can be modelled as networks of interconnected continuous-time transfer functions. The coefficients of the transfer functions in the network are often directly related to physical properties of the system. Thus, the question we consider is: under what conditions is it possible to obtain a consistent estimate of a continuous-time transfer function embedded in a dynamic network? We consider both direct and indirect continuous-time approaches. We show that a discrete-time model of a continuous-time data generating system may have a different interconnection structure (due to aliasing) and may have algebraic loops (due to the intersample behaviour). Subsequently we present an instrumental variable based method to directly identify a continuous-time transfer function embedded in a network.

U2 - 10.1109/CDC.2014.7039905

DO - 10.1109/CDC.2014.7039905

M3 - Conference contribution

SN - 978-1-4799-7746-8

SP - 3334

EP - 3339

BT - Proceedings of the 53rd IEEE Conference on Decision and Control, 15-17 December 2014, Los Angeles, California

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 53rd IEEE Conference on Decision and Control, CDC 2014

Y2 - 15 December 2014 through 17 December 2014

ER -

Direct and indirect continuous-time identification in dynamic networks

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