Minimal realizations of interconnected dynamical systems
The problem of minimal realization (MR) for interconnected dynamical systems (IDS) with component-connection model (CCM) is studied in this paper. CCM is a structural approximation that considers the IDS composed by two contributions: one, related with the components (or subsystems) represented by a...
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| Format: | Article |
| Language: | English |
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Universidad del Zulia
2010-11-01
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| Series: | Revista Técnica de la Facultad de Ingeniería |
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| Online Access: | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5718 |
| _version_ | 1811296953077596160 |
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| author | Fausto Posso |
| author_facet | Fausto Posso |
| author_sort | Fausto Posso |
| collection | DOAJ |
| description | The problem of minimal realization (MR) for interconnected dynamical systems (IDS) with component-connection model (CCM) is studied in this paper. CCM is a structural approximation that considers the IDS composed by two contributions: one, related with the components (or subsystems) represented by a dynamic first order model and, the other, related with the connections among the components, with a linear algebraic model. The main CCM feature is information decoupling, which is done by separating the dynamics of the components from the system topology. In this context, obtaining a system order reduction is highly desirable given the dimensions of the interconnected system. In this paper, several alternative procedures for obtaining a MR according to the phase of the CCM considered are proposed and developed. These procedures were implemented in a MATLAB toolbox developed by the author and were applied to solve several cases under study. The results allow the establishment of characteristics and properties of the MR for CCM. These results agree with those reported using other methods of order reduction, especially in the matter of the equivalence among procedures.
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| first_indexed | 2024-04-13T05:56:52Z |
| format | Article |
| id | doaj.art-8f8b7432b98d49f19fed2bca852b251f |
| institution | Directory Open Access Journal |
| issn | 0254-0770 2477-9377 |
| language | English |
| last_indexed | 2024-04-13T05:56:52Z |
| publishDate | 2010-11-01 |
| publisher | Universidad del Zulia |
| record_format | Article |
| series | Revista Técnica de la Facultad de Ingeniería |
| spelling | doaj.art-8f8b7432b98d49f19fed2bca852b251f2022-12-22T02:59:36ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-07702477-93772010-11-01233Minimal realizations of interconnected dynamical systemsFausto Posso0Universidad de Los Andes-VenezuelaThe problem of minimal realization (MR) for interconnected dynamical systems (IDS) with component-connection model (CCM) is studied in this paper. CCM is a structural approximation that considers the IDS composed by two contributions: one, related with the components (or subsystems) represented by a dynamic first order model and, the other, related with the connections among the components, with a linear algebraic model. The main CCM feature is information decoupling, which is done by separating the dynamics of the components from the system topology. In this context, obtaining a system order reduction is highly desirable given the dimensions of the interconnected system. In this paper, several alternative procedures for obtaining a MR according to the phase of the CCM considered are proposed and developed. These procedures were implemented in a MATLAB toolbox developed by the author and were applied to solve several cases under study. The results allow the establishment of characteristics and properties of the MR for CCM. These results agree with those reported using other methods of order reduction, especially in the matter of the equivalence among procedures. https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5718minimal realizationscomponent-connection modelinterconnected dynamical systemsMatLab |
| spellingShingle | Fausto Posso Minimal realizations of interconnected dynamical systems Revista Técnica de la Facultad de Ingeniería minimal realizations component-connection model interconnected dynamical systems MatLab |
| title | Minimal realizations of interconnected dynamical systems |
| title_full | Minimal realizations of interconnected dynamical systems |
| title_fullStr | Minimal realizations of interconnected dynamical systems |
| title_full_unstemmed | Minimal realizations of interconnected dynamical systems |
| title_short | Minimal realizations of interconnected dynamical systems |
| title_sort | minimal realizations of interconnected dynamical systems |
| topic | minimal realizations component-connection model interconnected dynamical systems MatLab |
| url | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5718 |
| work_keys_str_mv | AT faustoposso minimalrealizationsofinterconnecteddynamicalsystems |