Análisis de un Sistema de Control Híbrido Adaptativo que Estabiliza Órbitas Periódicas Inestables Embebidas en Atractores Caóticos

  1. Manuel Prian Rodríguez 1
  2. Manuel J. López Sánchez 1
  3. J. Francisco Moreno Verdulla 1
  1. 1 Universidad de Cádiz
    info

    Universidad de Cádiz

    Cádiz, España

    ROR https://ror.org/04mxxkb11

Journal:
Revista iberoamericana de automática e informática industrial ( RIAI )

ISSN: 1697-7920

Year of publication: 2015

Volume: 12

Issue: 2

Pages: 154-165

Type: Article

DOI: 10.1016/J.RIAI.2014.11.012 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Revista iberoamericana de automática e informática industrial ( RIAI )

Abstract

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.

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Cabe destacar que el OPWM para un valor del parámetro R de R=18,5KΩ, presenta dos atractores distintos y la trayectoria del sistema evolucionará hacia uno u otro dependiendo de que las condiciones iniciales dadas pertenezcan a la cuenca de atracción correspondiente.

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