Parametric interpolation H∞-control and model reduction

David Limebeer; Michael Green

Parametric interpolation H^∞-control and model reduction

Imperial College London

Research output: Contribution to journal › Conference article › peer-review

Abstract

The authors demonstrate that a class of H^∞-optimal control problems and the Hankel norm model-reduction problem can be a recast as parametric vector interpolation problem, which they solve using the classical Schur construction and results on the inertia of matrices. The connection between parametric vector interpolation and the state-space formulas of K. Glover (1986) is also established.

Original language	English
Pages (from-to)	973-978
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Publication status	Published - 1988
Externally published	Yes
Event	Proceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA Duration: 7 Dec 1988 → 9 Dec 1988

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Cite this

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title = "Parametric interpolation H∞-control and model reduction",

abstract = "The authors demonstrate that a class of H∞-optimal control problems and the Hankel norm model-reduction problem can be a recast as parametric vector interpolation problem, which they solve using the classical Schur construction and results on the inertia of matrices. The connection between parametric vector interpolation and the state-space formulas of K. Glover (1986) is also established.",

author = "David Limebeer and Michael Green",

year = "1988",

language = "English",

pages = "973--978",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 27th IEEE Conference on Decision and Control ; Conference date: 07-12-1988 Through 09-12-1988",

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TY - JOUR

T1 - Parametric interpolation H∞-control and model reduction

AU - Limebeer, David

AU - Green, Michael

PY - 1988

Y1 - 1988

N2 - The authors demonstrate that a class of H∞-optimal control problems and the Hankel norm model-reduction problem can be a recast as parametric vector interpolation problem, which they solve using the classical Schur construction and results on the inertia of matrices. The connection between parametric vector interpolation and the state-space formulas of K. Glover (1986) is also established.

AB - The authors demonstrate that a class of H∞-optimal control problems and the Hankel norm model-reduction problem can be a recast as parametric vector interpolation problem, which they solve using the classical Schur construction and results on the inertia of matrices. The connection between parametric vector interpolation and the state-space formulas of K. Glover (1986) is also established.

UR - https://www.scopus.com/pages/publications/0024175050

M3 - Conference article

AN - SCOPUS:0024175050

SN - 0191-2216

SP - 973

EP - 978

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 27th IEEE Conference on Decision and Control

Y2 - 7 December 1988 through 9 December 1988

ER -

Parametric interpolation H^∞-control and model reduction

Abstract

ASJC Scopus subject areas

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