Stabilization of nonlinear sandwich systems via state feedback-Discrete-time systems

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

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    5 Citations (Scopus)


    A recent paper (IEEE Trans. Aut. Contr. 2010; 55(9):2156–2160) considered stabilization of a class of continuous-time nonlinear sandwich systems via state feedback. This paper is a discrete-time counterpart of it. The class of nonlinear sandwich systems consists of saturation elements sandwiched between linear systems. We focus first on single-layer sandwich systems, which consist of a single saturation sandwiched between two linear systems. For such systems, we present necessary and sufficient conditions for semi-global and global stabilization problems by state feedback, and develop design methodologies to achieve the prescribed stabilization. We extend the results to single-layer sandwich systems subject to additional actuator saturation. Finally, we discuss further extension to general multi-layer sandwich systems with an arbitrary number of saturations sandwiched between linear systems, both with and without actuator saturation. The design methodologies can be viewed as extensions of classical low-gain design methodologies developed during the 1990s in the context of stabilizing linear systems subject to actuator saturation.
    Original languageUndefined
    Pages (from-to)1841-1864
    Number of pages24
    JournalInternational journal of robust and nonlinear control
    Issue number16
    Publication statusPublished - Nov 2011


    • EWI-20705
    • IR-78309
    • METIS-279207

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