Adaptive synchronization of Lorenz systems using a reduced number of control signals and parameters without knowing bounds on system parameters and trajectories

Abstract This article analyzes the synchronization of two Lorenz systems with unknown but matched parameters. The proposed control strategies use a reduced number of control signals and adjustable parameters, without any assumption on the boundedness of the master system state trajectories. The stab...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2018-03, Vol.35 (1), p.149-164
Main Authors: Delgado-Aguilera, Efredy, Duarte-Mermoud, Manuel A, Aguila-Camacho, Norelys
Format: Article
Language:English
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Summary:Abstract This article analyzes the synchronization of two Lorenz systems with unknown but matched parameters. The proposed control strategies use a reduced number of control signals and adjustable parameters, without any assumption on the boundedness of the master system state trajectories. The stability and convergence of the synchronization errors are analytically demonstrated. Some simulations studies are presented, in order to verify the effectiveness of the proposed control strategy and comparing with known results.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnw042