# The discrete-time $H_\infty$ control problem with strictly proper measurement feedback

A.A. Stoorvogel, A. Saberi, B.M. Chen

Research output: Book/ReportReportAcademic

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## Abstract

This paper is concerned with the discrete-time $H_\infty$ control problem with strictly proper measurement feedback. We derive necessary and sufficient conditions for the existence of strictly proper compensator which achieves a given $H_\infty$ norm bound. Note that contrary to the continuous time, in discrete time there might exist a suitable proper compensator but no suitable strictly proper compensator. Finally, we given an explicit formula for one controller which achieves this bound. Keywords: Discrete time systems, Hoo control problem, strictly proper controllers.
Original language English Eindhoven Technische Universiteit Eindhoven 9 Published - 1993

### Publication series

Name Memorandum COSOR 9316 0926-4493

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