Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors
In this paper, an adaptive hybrid control method is proposed, which stabilizes chaotic systems in the neighborhood of unstable periodic orbits embedded in the chaotic dynamics of the process to control. The method is based on the joint action of two controllers (a continuous time controller and a di...
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| Format: | Article |
| Language: | Spanish |
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Universitat Politècnica de València
2015-04-01
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| Series: | Revista Iberoamericana de Automática e Informática Industrial RIAI |
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| Online Access: | https://polipapers.upv.es/index.php/RIAI/article/view/9388 |
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| author | Manuel Prian Rodríguez Manuel J. López Sánchez J. Francisco Moreno Verdulla |
| author_facet | Manuel Prian Rodríguez Manuel J. López Sánchez J. Francisco Moreno Verdulla |
| author_sort | Manuel Prian Rodríguez |
| collection | DOAJ |
| description | In this paper, an adaptive hybrid control method is proposed, which stabilizes chaotic systems in the neighborhood of unstable periodic orbits embedded in the chaotic dynamics of the process to control. The method is based on the joint action of two controllers (a continuous time controller and a discrete time controller) as well as on the phenomenon of adaptive synchronization of the plant with an specified reference model. In some cases, the method only needs a partial driven reference model. An stability analysis of the control system is performed and an algorithtm is proposed to facilitate the implementation of the method. Finally, numerical simulation results are shown. |
| format | Article |
| id | doaj-art-10c5ab05ad924bffa97abc98ab4d1e53 |
| institution | DOAJ |
| issn | 1697-7912 1697-7920 |
| language | Spanish |
| publishDate | 2015-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Revista Iberoamericana de Automática e Informática Industrial RIAI |
| spelling | doaj-art-10c5ab05ad924bffa97abc98ab4d1e532025-08-20T02:44:08ZspaUniversitat Politècnica de ValènciaRevista Iberoamericana de Automática e Informática Industrial RIAI1697-79121697-79202015-04-0112215416510.1016/j.riai.2014.11.0126424Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractorsManuel Prian Rodríguez0Manuel J. López Sánchez1J. Francisco Moreno Verdulla2Universidad de CádizUniversidad de CádizUniversidad de CádizIn this paper, an adaptive hybrid control method is proposed, which stabilizes chaotic systems in the neighborhood of unstable periodic orbits embedded in the chaotic dynamics of the process to control. The method is based on the joint action of two controllers (a continuous time controller and a discrete time controller) as well as on the phenomenon of adaptive synchronization of the plant with an specified reference model. In some cases, the method only needs a partial driven reference model. An stability analysis of the control system is performed and an algorithtm is proposed to facilitate the implementation of the method. Finally, numerical simulation results are shown.https://polipapers.upv.es/index.php/RIAI/article/view/9388Control híbridocontrol adaptativoórbita periódica inestablemodelo de referenciasincronizaciónsistemas caóticos |
| spellingShingle | Manuel Prian Rodríguez Manuel J. López Sánchez J. Francisco Moreno Verdulla Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors Revista Iberoamericana de Automática e Informática Industrial RIAI Control híbrido control adaptativo órbita periódica inestable modelo de referencia sincronización sistemas caóticos |
| title | Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors |
| title_full | Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors |
| title_fullStr | Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors |
| title_full_unstemmed | Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors |
| title_short | Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors |
| title_sort | analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors |
| topic | Control híbrido control adaptativo órbita periódica inestable modelo de referencia sincronización sistemas caóticos |
| url | https://polipapers.upv.es/index.php/RIAI/article/view/9388 |
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