All solutions to the four block general distance problem

D. J.N. Limebeer; E. M. Kasenally; I. Jaimoukha; M. G. Safonov

All solutions to the four block general distance problem

D. J.N. Limebeer, E. M. Kasenally, I. Jaimoukha, M. G. Safonov

Imperial College London

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

20 Citations (Scopus)

Abstract

The authors characterize all solutions to the four-block general distance problem which arises in H^∞-optimal control. The procedure is to embed the original problem in an all-pass matrix constructed by the authors. It is then demonstrated that part of this all-pass matrix acts as a generator of all solutions. As an application, the authors find a representation formula for all solutions to H^∞-optimal control problems of the third kind.

Original language	English
Pages (from-to)	875-880
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Publication status	Published - Dec 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 = "All solutions to the four block general distance problem",

abstract = "The authors characterize all solutions to the four-block general distance problem which arises in H∞-optimal control. The procedure is to embed the original problem in an all-pass matrix constructed by the authors. It is then demonstrated that part of this all-pass matrix acts as a generator of all solutions. As an application, the authors find a representation formula for all solutions to H∞-optimal control problems of the third kind.",

author = "Limebeer, {D. J.N.} and Kasenally, {E. M.} and I. Jaimoukha and Safonov, {M. G.}",

year = "1988",

month = dec,

language = "English",

pages = "875--880",

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

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

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T1 - All solutions to the four block general distance problem

AU - Limebeer, D. J.N.

AU - Kasenally, E. M.

AU - Jaimoukha, I.

AU - Safonov, M. G.

PY - 1988/12

Y1 - 1988/12

N2 - The authors characterize all solutions to the four-block general distance problem which arises in H∞-optimal control. The procedure is to embed the original problem in an all-pass matrix constructed by the authors. It is then demonstrated that part of this all-pass matrix acts as a generator of all solutions. As an application, the authors find a representation formula for all solutions to H∞-optimal control problems of the third kind.

AB - The authors characterize all solutions to the four-block general distance problem which arises in H∞-optimal control. The procedure is to embed the original problem in an all-pass matrix constructed by the authors. It is then demonstrated that part of this all-pass matrix acts as a generator of all solutions. As an application, the authors find a representation formula for all solutions to H∞-optimal control problems of the third kind.

UR - http://www.scopus.com/inward/record.url?scp=0024171592&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0024171592

SN - 0191-2216

SP - 875

EP - 880

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 -

All solutions to the four block general distance problem

Abstract

ASJC Scopus subject areas

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