On controllability, parametrization, and output tracking of a linearized bioreactor model

The paper deals with a distributed parameter system related to the so-called fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when cert...

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Main Authors:	J. Tervo, M. T. Nihtilä, P. Kokkonen
Format:	Article
Language:	English
Published:	Hindawi Limited 2003-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/S1110757X03204046

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record_format	Article
spelling	doaj-7863ef64dc5c40ac979513143cf9a2ec2020-11-24T22:47:16ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422003-01-012003524327610.1155/S1110757X03204046On controllability, parametrization, and output tracking of a linearized bioreactor modelJ. Tervo0M. T. Nihtilä1P. Kokkonen2Department of Mathematics and Statistics, University of Kuopio, P.O. Box 1627, Kuopio FIN-70211, FinlandDepartment of Mathematics and Statistics, University of Kuopio, P.O. Box 1627, Kuopio FIN-70211, FinlandDepartment of Mathematics and Statistics, University of Kuopio, P.O. Box 1627, Kuopio FIN-70211, FinlandThe paper deals with a distributed parameter system related to the so-called fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold. We apply frequency-domain methods (transfer function analysis) to consider a related output tracking problem. The input-output system can be formulated as a translation invariant pseudodifferential equation. A simulation shows that the calculation scheme is stable. An idea to use frequency-domain methods and certain pseudodifferential operators for parametrization of control systems of more general systems is pointed out.http://dx.doi.org/10.1155/S1110757X03204046
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	J. Tervo M. T. Nihtilä P. Kokkonen
spellingShingle	J. Tervo M. T. Nihtilä P. Kokkonen On controllability, parametrization, and output tracking of a linearized bioreactor model Journal of Applied Mathematics
author_facet	J. Tervo M. T. Nihtilä P. Kokkonen
author_sort	J. Tervo
title	On controllability, parametrization, and output tracking of a linearized bioreactor model
title_short	On controllability, parametrization, and output tracking of a linearized bioreactor model
title_full	On controllability, parametrization, and output tracking of a linearized bioreactor model
title_fullStr	On controllability, parametrization, and output tracking of a linearized bioreactor model
title_full_unstemmed	On controllability, parametrization, and output tracking of a linearized bioreactor model
title_sort	on controllability, parametrization, and output tracking of a linearized bioreactor model
publisher	Hindawi Limited
series	Journal of Applied Mathematics
issn	1110-757X 1687-0042
publishDate	2003-01-01
description	The paper deals with a distributed parameter system related to the so-called fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold. We apply frequency-domain methods (transfer function analysis) to consider a related output tracking problem. The input-output system can be formulated as a translation invariant pseudodifferential equation. A simulation shows that the calculation scheme is stable. An idea to use frequency-domain methods and certain pseudodifferential operators for parametrization of control systems of more general systems is pointed out.
url	http://dx.doi.org/10.1155/S1110757X03204046
work_keys_str_mv	AT jtervo oncontrollabilityparametrizationandoutputtrackingofalinearizedbioreactormodel AT mtnihtila oncontrollabilityparametrizationandoutputtrackingofalinearizedbioreactormodel AT pkokkonen oncontrollabilityparametrizationandoutputtrackingofalinearizedbioreactormodel
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On controllability, parametrization, and output tracking of a linearized bioreactor model

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