Structure-preserving tangential-interpolation based model reduction of port-Hamiltonian systems

S. Gugercin, R. Polyuga, C.A. Beattie, A.J. Schaft, van der

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Abstract

Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop the framework for model reduction of large-scale multi-input/multi-output port-Hamiltonian systems via tangential rational interpolation. The resulting reduced-order model not only is a rational tangential interpolant but also retains the port-Hamiltonian structure; hence is passive. This reduction methodology is described in both energy and co-energy system coordinates. We also introduce an H2-inspired algorithm for e??ffectively choosing the interpolation points and tangential directions. The algorithm leads a reduced port-Hamiltonian model that satisfi??es a subset of H2-optimality conditions. We present several numerical examples that illustrate the effectiveness of the proposed method showing that it outperforms other existing techniques in both quality and numerical efficiency.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages13
Publication statusPublished - 2011

Publication series

NameCASA-report
Volume1116
ISSN (Print)0926-4507

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