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Parametric Model Order Reduction of Port-Hamiltonian Systems by Matrix Interpolation = Parametrische Modellordnungsreduktion von Port-Hamilton Systemen mittels Matrixinterpolation

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

In: at - Automatisierungstechnik, 2014, vol. 62, no. 9, p. 619-628

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    Titre
    • Parametric Model Order Reduction of Port-Hamiltonian Systems by Matrix Interpolation
    Titre traduit ()
    • Parametrische Modellordnungsreduktion von Port-Hamilton Systemen mittels Matrixinterpolation
    Auteur
    • Giftthaler, Markus. Department of Mechanical and Process Engineering, ETH Zürich, Sonneggstr. 3, CH-8092 Zürich
    • Wolf, Thomas. Institute of Automatic Control, Technische Universität München, Boltzmannstr. 15, D-85748 Garching bei München
    • Panzer, Heiko K. F. Institute of Automatic Control, Technische Universität München, Boltzmannstr. 15, D-85748 Garching bei München
    • Lohmann, Boris. Institute of Automatic Control, Technische Universität München, Boltzmannstr. 15, D-85748 Garching bei München
    Type de document
    • Postprint
    Langue
    • Allemand
    Publié dans
    • at - Automatisierungstechnik, 2014, vol. 62, no. 9, p. 619-628. De Gruyter Oldenbourg
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:293346
    Summary
    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