Robust Regulation for First-Order Port-Hamiltonian Systems

Jukka-Pekka Humaloja, Lassi Paunonen, Seppo Pohjolainen

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

    1 Citation (Scopus)

    Abstract

    We present a method for obtaining robust control over a first-order port-Hamiltonian system. The presented method is especially designed for controlling impedance energy-preserving port- Hamiltonian systems. By combining the stabilization results of port-Hamiltonian systems and the theory of robust output regulation for exponentially stable systems, we design a simple finite-dimensional controller for an unstable system that together with output feedback achieves robust output regulation. The method is demonstrated on an example where we implement a robust regulating controller for the one-dimensional wave equation with boundary control and observation.
    Original languageEnglish
    Title of host publicationProceedings of the 15th European Control Conference, Aalborg, Denmark, June 29th - July 1st, 2016
    PublisherIEEE
    Number of pages6
    ISBN (Electronic)978-1-5090-2590-9
    DOIs
    Publication statusPublished - 2016
    Publication typeA4 Article in a conference publication
    EventEuropean Control Conference -
    Duration: 1 Jan 1900 → …

    Conference

    ConferenceEuropean Control Conference
    Period1/01/00 → …

    Keywords

    • Robust output regulation
    • port-Hamiltonian systems

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Control and Optimization

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