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

A.A. Stoorvogel

39 Citations (Scopus)

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 182-202 21 SIAM Journal on Control and Optimization 30 1 https://doi.org/10.1137/0330012 Published - 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.

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