Stabilization of linear system with input saturation and unknown constant delays

Xu Wang, Ali Saberi, Antonie Arij Stoorvogel

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    In this paper, we study the stabilization of linear critically unstable systems subject to input saturation and multiple unknown input delays. We find tight upper bounds for delays which are inversely proportional to the maximal magnitude of open-loop eigenvalues on the imaginary axis. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problem. The effectiveness of the proposed design is illustrated by an example.
    Original languageUndefined
    Pages (from-to)3632-3640
    Number of pages9
    Issue number12
    Publication statusPublished - 2013


    • EWI-23971
    • Unknown time delay
    • Stabilization
    • IR-87861
    • Low gain
    • METIS-300157
    • Input saturation

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