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A fractional representation approach to the robust regulation problem for SISO systems

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A fractional representation approach to the robust regulation problem for SISO systems. / Laakkonen, P.; Quadrat, A.

In: Systems and Control Letters, Vol. 103, 01.05.2017, p. 32-37.

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Laakkonen, P. ; Quadrat, A. / A fractional representation approach to the robust regulation problem for SISO systems. In: Systems and Control Letters. 2017 ; Vol. 103. pp. 32-37.

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@article{c55424694faf493884836b4d649f8332,
title = "A fractional representation approach to the robust regulation problem for SISO systems",
abstract = "The purpose of this article is to develop a new approach to the robust regulation problem for plants which do not necessarily admit coprime factorizations. The approach is purely algebraic and allows us dealing with a very general class of systems in a unique simple framework. We formulate the famous internal model principle in a form suitable for plants defined by fractional representations which are not necessarily coprime factorizations. By using the internal model principle, we are able to give necessary and sufficient solvability conditions for the robust regulation problem and to parameterize all robustly regulating controllers.",
keywords = "Fractional representation approach, Linear systems, Robust regulation",
author = "P. Laakkonen and A. Quadrat",
year = "2017",
month = "5",
day = "1",
doi = "10.1016/j.sysconle.2017.02.006",
language = "English",
volume = "103",
pages = "32--37",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",

}

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TY - JOUR

T1 - A fractional representation approach to the robust regulation problem for SISO systems

AU - Laakkonen, P.

AU - Quadrat, A.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - The purpose of this article is to develop a new approach to the robust regulation problem for plants which do not necessarily admit coprime factorizations. The approach is purely algebraic and allows us dealing with a very general class of systems in a unique simple framework. We formulate the famous internal model principle in a form suitable for plants defined by fractional representations which are not necessarily coprime factorizations. By using the internal model principle, we are able to give necessary and sufficient solvability conditions for the robust regulation problem and to parameterize all robustly regulating controllers.

AB - The purpose of this article is to develop a new approach to the robust regulation problem for plants which do not necessarily admit coprime factorizations. The approach is purely algebraic and allows us dealing with a very general class of systems in a unique simple framework. We formulate the famous internal model principle in a form suitable for plants defined by fractional representations which are not necessarily coprime factorizations. By using the internal model principle, we are able to give necessary and sufficient solvability conditions for the robust regulation problem and to parameterize all robustly regulating controllers.

KW - Fractional representation approach

KW - Linear systems

KW - Robust regulation

U2 - 10.1016/j.sysconle.2017.02.006

DO - 10.1016/j.sysconle.2017.02.006

M3 - Article

VL - 103

SP - 32

EP - 37

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

ER -