The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor

The paper focuses on robust stabilization where the suitable parameters of a simple continuous-time PI controller are determined through a combination of the Kronecker summation method, sixteen plant theorem, and an algebraic approach to control design in the ring of proper and stable rational funct...

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Main Authors: Radek Matušů, Jana Závacká, Roman Prokop, Monika Bakošová
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2011/273469
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author Radek Matušů
Jana Závacká
Roman Prokop
Monika Bakošová
author_facet Radek Matušů
Jana Závacká
Roman Prokop
Monika Bakošová
author_sort Radek Matušů
collection DOAJ
description The paper focuses on robust stabilization where the suitable parameters of a simple continuous-time PI controller are determined through a combination of the Kronecker summation method, sixteen plant theorem, and an algebraic approach to control design in the ring of proper and stable rational functions. The initial theoretical background is followed by an illustrative experiment which includes computation of the controller and verification of control results for a continuous stirred tank reactor with exothermic reaction modelled as a fourth-order interval system.
format Article
id doaj-art-9164915f6fa54977af6d18b2e9497497
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-9164915f6fa54977af6d18b2e94974972025-02-03T01:01:17ZengWileyJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/273469273469The Kronecker Summation Method for Robust Stabilization Applied to a Chemical ReactorRadek Matušů0Jana Závacká1Roman Prokop2Monika Bakošová3Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, 760 01 Zlín, Czech RepublicDepartment of Information Engineering and Process Control, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, 812 37 Bratislava, SlovakiaDepartment of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, 760 01 Zlín, Czech RepublicDepartment of Information Engineering and Process Control, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, 812 37 Bratislava, SlovakiaThe paper focuses on robust stabilization where the suitable parameters of a simple continuous-time PI controller are determined through a combination of the Kronecker summation method, sixteen plant theorem, and an algebraic approach to control design in the ring of proper and stable rational functions. The initial theoretical background is followed by an illustrative experiment which includes computation of the controller and verification of control results for a continuous stirred tank reactor with exothermic reaction modelled as a fourth-order interval system.http://dx.doi.org/10.1155/2011/273469
spellingShingle Radek Matušů
Jana Závacká
Roman Prokop
Monika Bakošová
The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor
Journal of Control Science and Engineering
title The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor
title_full The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor
title_fullStr The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor
title_full_unstemmed The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor
title_short The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor
title_sort kronecker summation method for robust stabilization applied to a chemical reactor
url http://dx.doi.org/10.1155/2011/273469
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