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Robust Regulation Theory for Transfer Functions With a Coprime Factorization

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Robust Regulation Theory for Transfer Functions With a Coprime Factorization. / Laakkonen, Petteri.

In: IEEE Transactions on Automatic Control, 2015.

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@article{08385c4f583346b69df14cb5e9e0ff9a,
title = "Robust Regulation Theory for Transfer Functions With a Coprime Factorization",
abstract = "Classical frequency domain results of robust regulation are extended by requiring only a right or a left coprime factorization of a plant, but not both. The famous internal model principle is generalized first, which leads to a necessary and sufficient solvability condition of the robust regulation problem and to a parametrization of all robustly regulating controllers. In addition, a procedure for constructing robustly regulating controllers is proposed.",
keywords = "Frequency-domain analysis, Nickel, Robustness, Stability analysis, Topology, Transfer functions, Yttrium, Distributed parameter systems, linear systems, parametrization, robust control",
author = "Petteri Laakkonen",
year = "2015",
doi = "10.1109/TAC.2015.2497898",
language = "English",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers",

}

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TY - JOUR

T1 - Robust Regulation Theory for Transfer Functions With a Coprime Factorization

AU - Laakkonen, Petteri

PY - 2015

Y1 - 2015

N2 - Classical frequency domain results of robust regulation are extended by requiring only a right or a left coprime factorization of a plant, but not both. The famous internal model principle is generalized first, which leads to a necessary and sufficient solvability condition of the robust regulation problem and to a parametrization of all robustly regulating controllers. In addition, a procedure for constructing robustly regulating controllers is proposed.

AB - Classical frequency domain results of robust regulation are extended by requiring only a right or a left coprime factorization of a plant, but not both. The famous internal model principle is generalized first, which leads to a necessary and sufficient solvability condition of the robust regulation problem and to a parametrization of all robustly regulating controllers. In addition, a procedure for constructing robustly regulating controllers is proposed.

KW - Frequency-domain analysis

KW - Nickel

KW - Robustness

KW - Stability analysis

KW - Topology

KW - Transfer functions

KW - Yttrium

KW - Distributed parameter systems

KW - linear systems

KW - parametrization

KW - robust control

U2 - 10.1109/TAC.2015.2497898

DO - 10.1109/TAC.2015.2497898

M3 - Article

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

ER -