On moment matching of transfer functions and their derivatives

Tudor Ionescu; Orest Iftime

doi:10.1109/ECC.2015.7330567

On moment matching of transfer functions and their derivatives

Tudor Ionescu, Orest Iftime

Economics, Econometrics and Finance

Onderzoeksoutput › Academic

1 Citaat (Scopus)

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In this paper we study the problem of computing the (family of) reduced order model(s) that satisfy the following properties the systems match the moments of the given to be reduced system and the same property holds for the first order derivatives of the corresponding transfer functions. We prove that such a model exists and compute it. We also study the problem of moment matching for the state-space representations of the first order derivatives of rational transfer functions. Finally, we show that the model that matches the moment of both the given system and its first order derivative is a member of the family of reduced order models whose first order derivatives achieve moment matching.

Originele taal-2	English
Titel	IEEE Proceedings of the European Control Conference 2015
Uitgeverij	IEEE (The Institute of Electrical and Electronics Engineers)
Pagina's	340-344
Aantal pagina's	5
ISBN van geprinte versie	978-3-9524269-3-7
DOI's	https://doi.org/10.1109/ECC.2015.7330567
Status	Published - 2015
Evenement	European Control Conference (ECC), 2015 - JKU Linz, Linz, Austria Duur: 15-jul.-2015 → 17-jul.-2015

Conference

Conference	European Control Conference (ECC), 2015
Land/Regio	Austria
Stad	Linz
Periode	15/07/2015 → 17/07/2015

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title = "On moment matching of transfer functions and their derivatives",

abstract = "In this paper we study the problem of computing the (family of) reduced order model(s) that satisfy the following properties the systems match the moments of the given to be reduced system and the same property holds for the first order derivatives of the corresponding transfer functions. We prove that such a model exists and compute it. We also study the problem of moment matching for the state-space representations of the first order derivatives of rational transfer functions. Finally, we show that the model that matches the moment of both the given system and its first order derivative is a member of the family of reduced order models whose first order derivatives achieve moment matching.",

author = "Tudor Ionescu and Orest Iftime",

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doi = "10.1109/ECC.2015.7330567",

language = "English",

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T1 - On moment matching of transfer functions and their derivatives

AU - Ionescu, Tudor

AU - Iftime, Orest

PY - 2015

Y1 - 2015

N2 - In this paper we study the problem of computing the (family of) reduced order model(s) that satisfy the following properties the systems match the moments of the given to be reduced system and the same property holds for the first order derivatives of the corresponding transfer functions. We prove that such a model exists and compute it. We also study the problem of moment matching for the state-space representations of the first order derivatives of rational transfer functions. Finally, we show that the model that matches the moment of both the given system and its first order derivative is a member of the family of reduced order models whose first order derivatives achieve moment matching.

AB - In this paper we study the problem of computing the (family of) reduced order model(s) that satisfy the following properties the systems match the moments of the given to be reduced system and the same property holds for the first order derivatives of the corresponding transfer functions. We prove that such a model exists and compute it. We also study the problem of moment matching for the state-space representations of the first order derivatives of rational transfer functions. Finally, we show that the model that matches the moment of both the given system and its first order derivative is a member of the family of reduced order models whose first order derivatives achieve moment matching.

U2 - 10.1109/ECC.2015.7330567

DO - 10.1109/ECC.2015.7330567

M3 - Conference contribution

SN - 978-3-9524269-3-7

SP - 340

EP - 344

BT - IEEE Proceedings of the European Control Conference 2015

PB - IEEE (The Institute of Electrical and Electronics Engineers)

T2 - European Control Conference (ECC), 2015

Y2 - 15 July 2015 through 17 July 2015

ER -

On moment matching of transfer functions and their derivatives

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