High gain observer based synchronization for a class of time-delay chaotic systems: application to secure communications.

Estelle Cherrier (1) , Mohammed M'Saad (1)

1 Equipe Automatique - Laboratoire GREYC - UMR6072

This work investigates high gain observer design to synchronize a time-delay chaotic system. It is shown that the underlying class of nonlinear systems can be put into the canonical observable form, and thus high gain observer design framework can be extended to chaotic synchronization problem. Our approach is motivated by its simplicity of implementation: the observer gain synthesis relies on the explicit resolution of a time-invariant algebraic Lyapunov equation, which leads to a single parameter design. The proposed synchronization scheme is validated in a real-time experimental setup, based on Analog/Digital dSpace electronic device. At the end of the paper an information transmission process is provided, based on the previous synchronization scheme.

Mots clés: Chaos synchronization; high-gain observer; timedelay system

Domaines: Automatique; Automatique / Robotique

Estelle Cherrier, Mohammed M'Saad. High gain observer based synchronization for a class of time-delay chaotic systems: application to secure communications.. 3rd International Conference on Complex Systems and Applications, CCSA '09, 2009, Le Havre, France, France. ⟨hal-01057225⟩