LQR control for scalar finite and infinite platoons

R.F. Curtain, O.V. Iftime, Heiko J. Zwart

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

    34 Downloads (Pure)

    Abstract

    In this paper we compare the behaviour of the LQR solution for a finite platoon model with its infinite version. We give examples where these are similar and some where they are quite different. For the scalar case we obtain sufficient conditions for the LQR solutions to be similar by relating the Toeplitz approximations to circulant approximating systems.
    Original languageUndefined
    Title of host publicationSYSTEMS THEORY : Modélisation, Analyse et Contrôle - Actes de la Conférence Internationale
    EditorsA. El Jai, L. Afifi, E. Zerrik
    Place of PublicationPerpignan
    PublisherPresses Universitaires de Perpignan
    Pages19-30
    Number of pages12
    ISBN (Print)978-2-35412-043-6
    Publication statusPublished - May 2009
    EventThe International Conference on SYSTEMS THEORY : Modélisation, Analyse et Contrôle, Fes, Morocco: Proceedings of the International Conference on SYSTEMS THEORY : Modélisation, Analyse et Contrôle - Perpignan
    Duration: 25 May 200928 May 2009

    Publication series

    Name
    PublisherPresses Universitaires de Perpignan

    Conference

    ConferenceThe International Conference on SYSTEMS THEORY : Modélisation, Analyse et Contrôle, Fes, Morocco
    CityPerpignan
    Period25/05/0928/05/09

    Keywords

    • Infinite-dimensional systems
    • IR-70183
    • METIS-266511
    • Linear quadratic control
    • EWI-17619
    • Spatially invariant systems
    • MSC-93C25

    Cite this