Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning

Heiko J. Zwart, A Firooznia, J. Ploeg, N. van de Wouw

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    4 Citations (Scopus)

    Abstract

    This paper considers the optimal control problem for a class of infinite-dimensional systems, namely spatially invariant systems. A common assumption in the scope of such optimal control problem is the exponential stabilizability of the infinite-dimensional plant. We propose sufficient conditions for the optimizability of spatially invariant systems that are not exponentially stabilizable. The practical significance of this problem setting is motivated by vehicular platooning, for which it is desired to design controllers that attenuate the effect of disturbances, both in time and space, i.e., over the vehicle index.
    Original languageUndefined
    Title of host publicationProceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013
    Place of PublicationUSA
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages3038-3042
    Number of pages5
    ISBN (Print)978-1-4673-5716-6
    DOIs
    Publication statusPublished - Dec 2013
    Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
    Duration: 10 Dec 201313 Dec 2013
    Conference number: 52

    Publication series

    Name
    PublisherIEEE Control Systems Society

    Conference

    Conference52nd IEEE Conference on Decision and Control, CDC 2013
    Abbreviated titleCDC
    CountryItaly
    CityFlorence
    Period10/12/1313/12/13

    Keywords

    • EWI-24219
    • METIS-302596
    • IR-88728

    Cite this

    Zwart, H. J., Firooznia, A., Ploeg, J., & van de Wouw, N. (2013). Optimal control for non-exponentially stabilizable spatially invariant systems with an application to vehicular platooning. In Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013 (pp. 3038-3042). USA: IEEE CONTROL SYSTEMS SOCIETY. https://doi.org/10.1109/CDC.2013.6760345