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

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

6 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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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.",

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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

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

Abstract

Keywords

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