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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03204046 |
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| _version_ | 1849410211470639104 |
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| author | J. Tervo M. T. Nihtilä P. Kokkonen |
| author_facet | J. Tervo M. T. Nihtilä P. Kokkonen |
| author_sort | J. Tervo |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-7863ef64dc5c40ac979513143cf9a2ec |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7863ef64dc5c40ac979513143cf9a2ec2025-08-20T03:35:12ZengWileyJournal 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 |
| spellingShingle | J. Tervo M. T. Nihtilä P. Kokkonen On controllability, parametrization, and output tracking of a linearized bioreactor model Journal of Applied Mathematics |
| title | 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_short | On controllability, parametrization, and output tracking of a
linearized bioreactor model |
| title_sort | on controllability parametrization and output tracking of a linearized bioreactor model |
| url | http://dx.doi.org/10.1155/S1110757X03204046 |
| work_keys_str_mv | AT jtervo oncontrollabilityparametrizationandoutputtrackingofalinearizedbioreactormodel AT mtnihtila oncontrollabilityparametrizationandoutputtrackingofalinearizedbioreactormodel AT pkokkonen oncontrollabilityparametrizationandoutputtrackingofalinearizedbioreactormodel |