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

A.A. Stoorvogel

doi:10.1137/0330012

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

A.A. Stoorvogel

Research output: Contribution to journal › Article › Academic › peer-review

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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 language	English
Pages (from-to)	182-202
Number of pages	21
Journal	SIAM Journal on Control and Optimization
Volume	30
Issue number	1
DOIs	https://doi.org/10.1137/0330012
Publication status	Published - 1992

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