Interpolation-based H2 model reduction for port-Hamiltonian systems

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

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    Abstract

    Port network modeling of physical systems leads directly to an important class of passive state space systems: port-Hamiltonian systems. We consider here methods for model reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure and are capable of yielding reduced order models that satisfy first-order optimality conditions with respect to an H2 system error metric. The methods we consider are closely related to rational Krylov methods and variants are described using both energy and co-energy system coordinates. The resulting reduced models have port-Hamiltonian structure and therefore are guaranteed passive, while still retaining the flexibility to interpolate the true system transfer function at any (complex) frequency points that are desired.
    Original languageEnglish
    Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009)
    PublisherInstitute of Electrical and Electronics Engineers
    Pages5362-5369
    ISBN (Print)978-1-4244-3871-6
    DOIs
    Publication statusPublished - 2009

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    Hamiltonians
    Interpolation
    Transfer functions

    Cite this

    Gugercin, S., Polyuga, R. V., Beattie, C. A., & Schaft, van der, A. J. (2009). Interpolation-based H2 model reduction for port-Hamiltonian systems. In Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009) (pp. 5362-5369). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2009.5400626
    Gugercin, S. ; Polyuga, R.V. ; Beattie, C.A. ; Schaft, van der, A.J. / Interpolation-based H2 model reduction for port-Hamiltonian systems. Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009). Institute of Electrical and Electronics Engineers, 2009. pp. 5362-5369
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    abstract = "Port network modeling of physical systems leads directly to an important class of passive state space systems: port-Hamiltonian systems. We consider here methods for model reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure and are capable of yielding reduced order models that satisfy first-order optimality conditions with respect to an H2 system error metric. The methods we consider are closely related to rational Krylov methods and variants are described using both energy and co-energy system coordinates. The resulting reduced models have port-Hamiltonian structure and therefore are guaranteed passive, while still retaining the flexibility to interpolate the true system transfer function at any (complex) frequency points that are desired.",
    author = "S. Gugercin and R.V. Polyuga and C.A. Beattie and {Schaft, van der}, A.J.",
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    Gugercin, S, Polyuga, RV, Beattie, CA & Schaft, van der, AJ 2009, Interpolation-based H2 model reduction for port-Hamiltonian systems. in Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009). Institute of Electrical and Electronics Engineers, pp. 5362-5369. https://doi.org/10.1109/CDC.2009.5400626

    Interpolation-based H2 model reduction for port-Hamiltonian systems. / Gugercin, S.; Polyuga, R.V.; Beattie, C.A.; Schaft, van der, A.J.

    Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009). Institute of Electrical and Electronics Engineers, 2009. p. 5362-5369.

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    AU - Beattie, C.A.

    AU - Schaft, van der, A.J.

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    AB - Port network modeling of physical systems leads directly to an important class of passive state space systems: port-Hamiltonian systems. We consider here methods for model reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure and are capable of yielding reduced order models that satisfy first-order optimality conditions with respect to an H2 system error metric. The methods we consider are closely related to rational Krylov methods and variants are described using both energy and co-energy system coordinates. The resulting reduced models have port-Hamiltonian structure and therefore are guaranteed passive, while still retaining the flexibility to interpolate the true system transfer function at any (complex) frequency points that are desired.

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    SN - 978-1-4244-3871-6

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    BT - Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009)

    PB - Institute of Electrical and Electronics Engineers

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    Gugercin S, Polyuga RV, Beattie CA, Schaft, van der AJ. Interpolation-based H2 model reduction for port-Hamiltonian systems. In Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009). Institute of Electrical and Electronics Engineers. 2009. p. 5362-5369 https://doi.org/10.1109/CDC.2009.5400626