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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Main Authors:	Manuel Prian Rodríguez, Manuel J. López Sánchez, J. Francisco Moreno Verdulla
Format:	Article
Language:	Spanish
Published:	Universitat Politecnica de Valencia 2015-04-01
Series:	Revista Iberoamericana de Automática e Informática Industrial RIAI
Subjects:	Control híbrido control adaptativo órbita periódica inestable modelo de referencia sincronización sistemas caóticos
Online Access:	https://polipapers.upv.es/index.php/RIAI/article/view/9388

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spelling	doaj-10c5ab05ad924bffa97abc98ab4d1e532021-03-02T08:58:39ZspaUniversitat Politecnica de ValenciaRevista 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
collection	DOAJ
language	Spanish
format	Article
sources	DOAJ
author	Manuel Prian Rodríguez Manuel J. López Sánchez J. Francisco Moreno Verdulla
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
author_facet	Manuel Prian Rodríguez Manuel J. López Sánchez J. Francisco Moreno Verdulla
author_sort	Manuel Prian Rodríguez
title	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_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_sort	analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors
publisher	Universitat Politecnica de Valencia
series	Revista Iberoamericana de Automática e Informática Industrial RIAI
issn	1697-7912 1697-7920
publishDate	2015-04-01
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.
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
work_keys_str_mv	AT manuelprianrodriguez analysisofanadaptivehybridcontrolsystemwhichstabilizesunstableperiodicorbitsembeddedinchaoticattractors AT manueljlopezsanchez analysisofanadaptivehybridcontrolsystemwhichstabilizesunstableperiodicorbitsembeddedinchaoticattractors AT jfranciscomorenoverdulla analysisofanadaptivehybridcontrolsystemwhichstabilizesunstableperiodicorbitsembeddedinchaoticattractors
_version_	1724240143961817088

Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors

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