The discrete time $H_\infty$ control problem with measurement feedback

A.A. Stoorvogel

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    40 Citations (Scopus)
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    Abstract

    This paper is concerned with the discrete time $H_\infty $ control problem with measurement feedback. It follows that, as in the continuous time case, the existence of an internally stabilizing controller that makes the $H_\infty $ norm strictly less than 1 is related to the existence of stabilizing solutions to two algebraic Riccati equations. However, in the discrete time case, the solutions of these algebraic Riccati equations must satisfy extra conditions.
    Original languageEnglish
    Pages (from-to)182-202
    Number of pages21
    JournalSIAM Journal on Control and Optimization
    Volume30
    Issue number1
    DOIs
    Publication statusPublished - 1992

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