The singular minimum entropy $H_\infty$ control problem

A.A. Stoorvogel

    Research output: Contribution to journalArticleAcademicpeer-review

    12 Citations (Scopus)

    Abstract

    In this paper we search for controllers which minimize an entropy function of the closed loop transfer matrix under the constraint of internal stability and under the constraint that the closed loop transfer matrix has H8 norm less than some a priori given bound ¿. We find an explicit expression for the infimum. Moreover, we give a characterization when the infimum is attained (contrary to the regular case, for the singular minimum entropy H8 control problem the infimum is not always attained).
    Original languageEnglish
    Pages (from-to)411-422
    JournalSystems and Control Letters
    Volume16
    Issue number6
    DOIs
    Publication statusPublished - 1991

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