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

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.