Dissipative boundary control systems with application to distributed parameters reactors

Y. Le Gorrec, B.M. Maschke, J.A. Villegas, Heiko J. Zwart

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    Abstract

    In this paper we consider distributed parameter physical systems composed of a reversible part associated with a skew-symmetric operator J as Hamiltonian systems and a symmetric operator associated with some irreversible phenomena. We will show how to use results obtained on reversible systems to parametrize the boundary conditions such that the solution of the associated PDE is contractive. The theoretical results are applied to the example of a tubular reactor with first order chemical reaction. The obtained parametrization is compared with the classical Dankwert conditions.
    Original languageUndefined
    Title of host publicationProceedings of the 2006 IEEE International Conference on Control Applications
    PublisherIEEE
    Pages668-673
    Number of pages6
    ISBN (Print)0-7803-9796-7
    DOIs
    Publication statusPublished - Oct 2006

    Publication series

    NameIEEE Conference Proceedings
    PublisherIEEE

    Keywords

    • IR-66655
    • EWI-8280
    • METIS-238292

    Cite this

    Le Gorrec, Y., Maschke, B. M., Villegas, J. A., & Zwart, H. J. (2006). Dissipative boundary control systems with application to distributed parameters reactors. In Proceedings of the 2006 IEEE International Conference on Control Applications (pp. 668-673). [10.1109/CCA.2006.285949] (IEEE Conference Proceedings). IEEE. https://doi.org/10.1109/CCA.2006.285949, https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776728