Algebraic Principles as a Tool for Energy Saving

This paper discusses algebraic approaches of control design for a set of Single Input – Single Output (SISO) delayed systems that are further developed and discussed. The first principle utilises a special ring RQM, - a set of RQ-meromorphic functions. The second one is based on a ring of proper and...

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Main Authors: Roman Prokop, Jirí Korbel, Libor Pekar
Format: Article
Language:English
Published: AIDIC Servizi S.r.l. 2020-08-01
Series:Chemical Engineering Transactions
Online Access:https://www.cetjournal.it/index.php/cet/article/view/11074
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spelling doaj-5d57aeefff254b67928e1d02faf5a7f92021-02-16T11:27:46ZengAIDIC Servizi S.r.l.Chemical Engineering Transactions2283-92162020-08-018110.3303/CET2081133Algebraic Principles as a Tool for Energy SavingRoman ProkopJirí KorbelLibor Pekar This paper discusses algebraic approaches of control design for a set of Single Input – Single Output (SISO) delayed systems that are further developed and discussed. The first principle utilises a special ring RQM, - a set of RQ-meromorphic functions. The second one is based on a ring of proper and stable rational functions RPS and can be considered as a special case. Controller parameters are derived through the general solution of linear Diophantine equations in the appropriate ring. A final controller can be tuned by the scalar real parameter m0>0. The methodology is illustrated by a comparison with another approach, some analyses of a tuning parameter and example. The simulations are performed in the Matlab environment.https://www.cetjournal.it/index.php/cet/article/view/11074
collection DOAJ
language English
format Article
sources DOAJ
author Roman Prokop
Jirí Korbel
Libor Pekar
spellingShingle Roman Prokop
Jirí Korbel
Libor Pekar
Algebraic Principles as a Tool for Energy Saving
Chemical Engineering Transactions
author_facet Roman Prokop
Jirí Korbel
Libor Pekar
author_sort Roman Prokop
title Algebraic Principles as a Tool for Energy Saving
title_short Algebraic Principles as a Tool for Energy Saving
title_full Algebraic Principles as a Tool for Energy Saving
title_fullStr Algebraic Principles as a Tool for Energy Saving
title_full_unstemmed Algebraic Principles as a Tool for Energy Saving
title_sort algebraic principles as a tool for energy saving
publisher AIDIC Servizi S.r.l.
series Chemical Engineering Transactions
issn 2283-9216
publishDate 2020-08-01
description This paper discusses algebraic approaches of control design for a set of Single Input – Single Output (SISO) delayed systems that are further developed and discussed. The first principle utilises a special ring RQM, - a set of RQ-meromorphic functions. The second one is based on a ring of proper and stable rational functions RPS and can be considered as a special case. Controller parameters are derived through the general solution of linear Diophantine equations in the appropriate ring. A final controller can be tuned by the scalar real parameter m0>0. The methodology is illustrated by a comparison with another approach, some analyses of a tuning parameter and example. The simulations are performed in the Matlab environment.
url https://www.cetjournal.it/index.php/cet/article/view/11074
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