Structure preserving order reduction of large scale second order systems

Behnam Salimbahrami; Boris Lohmann

doi:10.1016/S1474-6670(17)31618-X

Structure preserving order reduction of large scale second order systems

Behnam Salimbahrami, Boris Lohmann

University of Bremen

Research output: Contribution to journal › Conference article › peer-review

11 Scopus citations

Abstract

In this paper, we propose a new approach for order reduction of large scale second order systems, preserving the specific structure of the second-order type models. A Krylov subspace method is applied to an equivalent state space model, matching the first Markov parameter (which is zero for second order models) and some of the first moments. Then, a procedure is suggested to recover the second order structure.

Original language	English
Pages (from-to)	233-238
Number of pages	6
Journal	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	37
Issue number	11
DOIs	https://doi.org/10.1016/S1474-6670(17)31618-X
State	Published - 2004
Externally published	Yes
Event	10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004 - Osaka, Japan Duration: 26 Jul 2004 → 28 Jul 2004

Keywords

Large scale systems
Markov parameters
Model reduction
Reduced-order models
Second-order systems

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10.1016/S1474-6670(17)31618-X

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title = "Structure preserving order reduction of large scale second order systems",

abstract = "In this paper, we propose a new approach for order reduction of large scale second order systems, preserving the specific structure of the second-order type models. A Krylov subspace method is applied to an equivalent state space model, matching the first Markov parameter (which is zero for second order models) and some of the first moments. Then, a procedure is suggested to recover the second order structure.",

keywords = "Large scale systems, Markov parameters, Model reduction, Reduced-order models, Second-order systems",

author = "Behnam Salimbahrami and Boris Lohmann",

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T1 - Structure preserving order reduction of large scale second order systems

AU - Salimbahrami, Behnam

AU - Lohmann, Boris

PY - 2004

Y1 - 2004

N2 - In this paper, we propose a new approach for order reduction of large scale second order systems, preserving the specific structure of the second-order type models. A Krylov subspace method is applied to an equivalent state space model, matching the first Markov parameter (which is zero for second order models) and some of the first moments. Then, a procedure is suggested to recover the second order structure.

AB - In this paper, we propose a new approach for order reduction of large scale second order systems, preserving the specific structure of the second-order type models. A Krylov subspace method is applied to an equivalent state space model, matching the first Markov parameter (which is zero for second order models) and some of the first moments. Then, a procedure is suggested to recover the second order structure.

KW - Large scale systems

KW - Markov parameters

KW - Model reduction

KW - Reduced-order models

KW - Second-order systems

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U2 - 10.1016/S1474-6670(17)31618-X

DO - 10.1016/S1474-6670(17)31618-X

M3 - Conference article

AN - SCOPUS:79960700918

SN - 1474-6670

VL - 37

SP - 233

EP - 238

JO - IFAC Proceedings Volumes (IFAC-PapersOnline)

JF - IFAC Proceedings Volumes (IFAC-PapersOnline)

IS - 11

T2 - 10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004

Y2 - 26 July 2004 through 28 July 2004

ER -

Structure preserving order reduction of large scale second order systems

Abstract

Keywords

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