Observer-based approach for Synchronization of a Time-Delayed Chua's Circuit

Estelle Cherrier (1) , Mohamed Boutayeb (2) , José Ragot (3)

1 Monétique & Biométrie
2 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection
3 CRAN - Centre de Recherche en Automatique de Nancy

In this note, we develop a reduced-order observer-based approach for synchronization of time-delayed chaotic systems. Indeed, in a recent work, Wang \textit{et al.} proposed an interesting technique to enhance the complexity of the chaotic behavior of the standard Chua's circuit, through a time-delay feedback. We provide here a specific solution to ensure the synchronization of this class of nonlinear systems, even in the case of an unknown (or time-varying) delay. Our synchronization scheme relies on the design of a reduced-order observer, whose efficiency is tested on the numerical example provided in \cite{Wang01}. This work is the first step in the design of a secure communications scheme.

Mots clés: Observer-based synchronization; Chua's circuit; reduced-order observer; time-delay system; singular system

Domaines: Automatique / Robotique

Estelle Cherrier, Mohamed Boutayeb, José Ragot. Observer-based approach for Synchronization of a Time-Delayed Chua's Circuit. May 2005, 4 p. ⟨hal-00118567⟩