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

A.A. Stoorvogel

Research output: Contribution to journalArticleAcademicpeer-review

39 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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Algebraic Riccati Equation
Riccati equations
Control Problem
Discrete-time
Feedback
Continuous Time
Strictly
Controller
Norm
Controllers

Cite this

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The discrete time $H_\infty$ control problem with measurement feedback. / Stoorvogel, A.A.

In: SIAM Journal on Control and Optimization, Vol. 30, No. 1, 1992, p. 182-202.

Research output: Contribution to journalArticleAcademicpeer-review

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