Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback

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

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    Abstract

    In this paper, we study the response to external disturbances of a double integrator with a saturating feedback. For a class of disturbances that have bounded integrals over all intervals, we show that a linear static feedback law can always be designed to ensure boundedness of the states. Moreover, boundedness can be preserved if the disturbance is biased by a small DC signal. In the special case that the disturbance is made up of a finite number of sinusoids and a small bias, any linear static feedback ensures boundedness of the states. These results are an extension of previous results by Wen, Roy, and Saberi (2008).
    Original languageUndefined
    Pages (from-to)430-435
    Number of pages6
    JournalAutomatica
    Volume48
    Issue number2
    DOIs
    Publication statusPublished - Feb 2012

    Keywords

    • METIS-285082
    • EWI-21422
    • IR-79542

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