Discrete port Hamiltonian systems

V. Talasila, J.J. Clemente Gallardo, A.J. van der Schaft

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

    2 Citations (Scopus)

    Abstract

    Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.
    Original languageEnglish
    Title of host publicationProceedings of the 16th IFAC World Congress
    EditorsP Horacek, M Simandl, P Zitek
    PublisherInternational Federation of Automatic Control
    Pages495-500
    Number of pages9
    ISBN (Print)978-0-08-045108-4
    DOIs
    Publication statusPublished - 2005
    Event16th IFAC World Congress 2005 - Prague, Czech Republic
    Duration: 3 Jul 20058 Jul 2005
    Conference number: 16
    http://www.utia.cas.cz/news/608

    Publication series

    NameIFAC Proceedings Volumes
    PublisherElsevier
    Number1
    Volume38

    Conference

    Conference16th IFAC World Congress 2005
    CountryCzech Republic
    CityPrague
    Period3/07/058/07/05
    Internet address

    Keywords

    • Port Hamiltonian systems
    • Discrete mechanics

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  • Cite this

    Talasila, V., Clemente Gallardo, J. J., & van der Schaft, A. J. (2005). Discrete port Hamiltonian systems. In P. Horacek, M. Simandl, & P. Zitek (Eds.), Proceedings of the 16th IFAC World Congress (pp. 495-500). (IFAC Proceedings Volumes; Vol. 38, No. 1). International Federation of Automatic Control. https://doi.org/10.3182/20050703-6-CZ-1902.00737