The singular minimum entropy $H_\infty$ control problem

A.A. Stoorvogel

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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 $H_\infty$ norm less than some a priori given bound $\gamma$. We find an explicit expression for the infimum. Moreover, we give a charaterization when the infimum is attained (contrary to the regular case, for the singular minimum entropy $H_\infty$ control problem the infimum is not always attained). Keywords: $H_\infty$ control, algebraic Riccati equation, quadratic matrix inequality, minimum entropy.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages15
Publication statusPublished - 1990

Publication series

NameMemorandum COSOR
Volume9037
ISSN (Print)0926-4493

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