Algorithms Applications to Determine Optimum Trajectories of the Controlled Process
The paper deals with the solution of the problems of the systems optimum control with distributed parameters whose mathematical model is described by the partial differential equations. It presents the applications of the algorithms created by the author of the paper based on numerical methods to th...
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| Published in | IFAC Proceedings Volumes Vol. 36; no. 1; pp. 319 - 322 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.02.2003
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1474-6670 |
| DOI | 10.1016/S1474-6670(17)33764-3 |
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| Abstract | The paper deals with the solution of the problems of the systems optimum control with distributed parameters whose mathematical model is described by the partial differential equations. It presents the applications of the algorithms created by the author of the paper based on numerical methods to the problems solution formulated in the form of problems of the systems optimum control with distributed parameters. The methodology designed in the paper is suitable for the determination of optimum trajectories of the controlled process according to the selected criterion of the cost function. There is the theoretical basis of the parameters values estimation in the systems control described by the partial differential equations presented in the paper. |
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| AbstractList | The paper deals with the solution of the problems of the systems optimum control with distributed parameters whose mathematical model is described by the partial differential equations. It presents the applications of the algorithms created by the author of the paper based on numerical methods to the problems solution formulated in the form of problems of the systems optimum control with distributed parameters. The methodology designed in the paper is suitable for the determination of optimum trajectories of the controlled process according to the selected criterion of the cost function. There is the theoretical basis of the parameters values estimation in the systems control described by the partial differential equations presented in the paper. |
| Author | Hrubina, Kamil |
| Author_xml | – sequence: 1 givenname: Kamil surname: Hrubina fullname: Hrubina, Kamil email: hrubina.kamil@fvt.sk organization: Faculty of Manufacturing Technologies of the University of Technology in Koš ice with a seat in Prešov, Department of Informatics, Mathematics and Physics Bayerova 1, 080 01 Prešov, Slovak Republic Phone: ++421 +51 772 39 31 |
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| Copyright | 2003 International Federation of Automatic Control |
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| Keywords | optimum control system with distributed parameters finite element method algorithm |
| Language | English |
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| References | Ramirez (bib0030) 1994 Hulkó (bib0015) 1998 Lions (bib0025) 1978 Hrubina (bib0005) 1992; 43 Zienkiewicz (bib0035) 1979 Hrubina (bib0010) 1993; 44 Kataliniè (bib0020) 1998 Zhimal (bib0040) 1976; 24 Zhimal (10.1016/S1474-6670(17)33764-3_bib0040) 1976; 24 Hulkó (10.1016/S1474-6670(17)33764-3_bib0015) 1998 Kataliniè (10.1016/S1474-6670(17)33764-3_bib0020) 1998 Zienkiewicz (10.1016/S1474-6670(17)33764-3_bib0035) 1979 Hrubina (10.1016/S1474-6670(17)33764-3_bib0005) 1992; 43 Hrubina (10.1016/S1474-6670(17)33764-3_bib0010) 1993; 44 Lions (10.1016/S1474-6670(17)33764-3_bib0025) 1978 Ramirez (10.1016/S1474-6670(17)33764-3_bib0030) 1994 |
| References_xml | – year: 1998 ident: bib0020 publication-title: Actual Philosophy of Technology in the Search of New Concepts of Product and Production – year: 1979 ident: bib0035 publication-title: The Finite Element Method in Engineering Science – volume: 24 year: 1976 ident: bib0040 article-title: Solution of Nonlinear Heat Conduction Problems by the Finite Element Method publication-title: Journal of Civil Engineering – volume: 44 year: 1993 ident: bib0010 article-title: Optimum Control Problems for Systems with Distributed Parameters and their Solution using the Finite Element Method Algorithm publication-title: Journal of Electrical Engineering – year: 1998 ident: bib0015 publication-title: Modeling, Control and Design of Distributed Parameter Systems (with demonstration in Matlab). – year: 1994 ident: bib0030 publication-title: Process Control and Identification – year: 1978 ident: bib0025 publication-title: Contrôle optimal de systémes gouvernés par des equations aux derives partielles – volume: 43 start-page: 187 year: 1992 end-page: 192 ident: bib0005 article-title: Optimal Control Problems for Systems with Distributed Parameters and their Solution Using Algorithms of Numerical Methods publication-title: Journal of Electrical Engineering – volume: 44 issue: 1 year: 1993 ident: 10.1016/S1474-6670(17)33764-3_bib0010 article-title: Optimum Control Problems for Systems with Distributed Parameters and their Solution using the Finite Element Method Algorithm publication-title: Journal of Electrical Engineering – volume: 24 issue: 5 year: 1976 ident: 10.1016/S1474-6670(17)33764-3_bib0040 article-title: Solution of Nonlinear Heat Conduction Problems by the Finite Element Method publication-title: Journal of Civil Engineering – year: 1998 ident: 10.1016/S1474-6670(17)33764-3_bib0015 publication-title: Modeling, Control and Design of Distributed Parameter Systems (with demonstration in Matlab). – year: 1998 ident: 10.1016/S1474-6670(17)33764-3_bib0020 – year: 1978 ident: 10.1016/S1474-6670(17)33764-3_bib0025 publication-title: Contrôle optimal de systémes gouvernés par des equations aux derives partielles – volume: 43 start-page: 187 issue: 5 year: 1992 ident: 10.1016/S1474-6670(17)33764-3_bib0005 article-title: Optimal Control Problems for Systems with Distributed Parameters and their Solution Using Algorithms of Numerical Methods publication-title: Journal of Electrical Engineering – year: 1979 ident: 10.1016/S1474-6670(17)33764-3_bib0035 – year: 1994 ident: 10.1016/S1474-6670(17)33764-3_bib0030 |
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| SubjectTerms | finite element method algorithm optimum control system with distributed parameters |
| Title | Algorithms Applications to Determine Optimum Trajectories of the Controlled Process |
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