Pole/zero cancellations in the general \({\mathcal H}_\infty\) problem with reference to a two block design

DOI10.1016/0167-6911(90)90050-5zbMath0701.93028OpenAlexW2053686080MaRDI QIDQ914612

Keith Glover, J. A. Sefton

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90050-5

zbMATH Keywords

robustnessRiccati equations\({\mathcal H}_{\infty }\) problempole/zero cancellations

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) (H^infty)-control (93B36)

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Cites Work

• A course in \(H_{\infty}\) control theory
• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• Fast projection methods for minimal design problems in linear system theory
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Simplifying theH∞ theory via loop-shifting, matrix-pencil and descriptor concepts
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• A Controller Degree Bound for $\mathcal{H}^\infty $-Optimal Control Problems of the Second Kind