Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays

Xu Wang, Ali Saberi, Antonie Arij Stoorvogel

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    6 Citations (Scopus)


    In this technical note, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input sat- uration and multiple unknown input delays. Based on a simple frequency- domain stability criterion, we find upper bounds for delays that are in- versely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and fi- nite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.
    Original languageUndefined
    Pages (from-to)1667-1672
    Number of pages6
    JournalIEEE transactions on automatic control
    Issue number6
    Publication statusPublished - Jun 2014


    • METIS-305958
    • IR-91490
    • EWI-24936

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