Stabilization of a class of sandwich systems via state feedback

Xu Wang, Antonie Arij Stoorvogel, Ali Saberi, H°avard Fjær Grip, Sandip Roy, Peddapullaiah Sannuti

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    Abstract

    We consider the problem of state-feedback stabilization for a class of sandwich systems, consisting of two linear systems connected in cascade via a saturation. In particular, we present design methodologies for constructing semiglobally and globally stabilizing controllers for such systems when the input is itself subject to saturation. The design is carried out under a set of assumptions that are proven to be both necessary and sufficient. The presented design methodologies are extensions of classical low-gain design methodologies developed for stabilizing linear systems subject to input saturation. The methodologies can be further extended to multilayer sandwich systems, consisting of an arbitrary number of cascaded linear systems with saturations sandwiched between them.
    Original languageUndefined
    Pages (from-to)2156-2160
    Number of pages5
    JournalIEEE transactions on automatic control
    Volume55
    Issue number9
    DOIs
    Publication statusPublished - Sep 2010

    Keywords

    • sandwich systems
    • EWI-18429
    • Nonlinear Systems
    • Saturation
    • IR-73050
    • METIS-271021

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