Parametric model order reduction of port-hamiltonian systems by matrix interpolation

Markus Giftthaler; Thomas Wolf; Heiko K.F. Panzer; Boris Lohmann

doi:10.1515/auto-2013-1072

Parametric model order reduction of port-hamiltonian systems by matrix interpolation

Markus Giftthaler
, Thomas Wolf
, Heiko K.F. Panzer
, Boris Lohmann

Chair of Automatic Control

ETH Zurich
Technical University of Munich

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, parametric model order reduction of linear time-invariant systems by matrix interpolation is adapted to large-scale systems in port-Hamiltonian form. A new weighted matrix interpolation of locally reduced models is introduced in order to preserve the port-Hamiltonian structure, which guarantees the passivity and stability of the interpolated system. The performance of the new method is demonstrated by technical examples.

Original language	English
Pages (from-to)	619-628
Number of pages	10
Journal	At-Automatisierungstechnik
Volume	62
Issue number	9
DOIs	https://doi.org/10.1515/auto-2013-1072
State	Published - 28 Sep 2014

Keywords

Parametric model order reduction
matrix interpolation
port-Hamiltonian systems

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10.1515/auto-2013-1072

Cite this

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title = "Parametric model order reduction of port-hamiltonian systems by matrix interpolation",

abstract = "In this paper, parametric model order reduction of linear time-invariant systems by matrix interpolation is adapted to large-scale systems in port-Hamiltonian form. A new weighted matrix interpolation of locally reduced models is introduced in order to preserve the port-Hamiltonian structure, which guarantees the passivity and stability of the interpolated system. The performance of the new method is demonstrated by technical examples.",

keywords = "Parametric model order reduction, matrix interpolation, port-Hamiltonian systems",

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AU - Wolf, Thomas

AU - Panzer, Heiko K.F.

AU - Lohmann, Boris

PY - 2014/9/28

Y1 - 2014/9/28

N2 - In this paper, parametric model order reduction of linear time-invariant systems by matrix interpolation is adapted to large-scale systems in port-Hamiltonian form. A new weighted matrix interpolation of locally reduced models is introduced in order to preserve the port-Hamiltonian structure, which guarantees the passivity and stability of the interpolated system. The performance of the new method is demonstrated by technical examples.

AB - In this paper, parametric model order reduction of linear time-invariant systems by matrix interpolation is adapted to large-scale systems in port-Hamiltonian form. A new weighted matrix interpolation of locally reduced models is introduced in order to preserve the port-Hamiltonian structure, which guarantees the passivity and stability of the interpolated system. The performance of the new method is demonstrated by technical examples.

KW - Parametric model order reduction

KW - matrix interpolation

KW - port-Hamiltonian systems

UR - https://www.scopus.com/pages/publications/84906989051

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M3 - Article

AN - SCOPUS:84906989051

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JO - At-Automatisierungstechnik

JF - At-Automatisierungstechnik

IS - 9

ER -

Parametric model order reduction of port-hamiltonian systems by matrix interpolation

Abstract

Keywords

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