Title: Chaotic synchronisation and secure communication via sliding-mode and impulsive observers

Authors: Hamid Hamiche; Saïd Guermah; Saïd Djennoune; Karim Kemih; Malek Ghanes; Jean-Pierre Barbot

Addresses: Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algérie ' Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algérie ' Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algérie ' Laboratoire L2EI, Université de Jijel, BP98, Ouled Aissa Jijel, Algérie ' Equipe Commande des Systèmes (ECS-Lab), ENSEA, 6 Avenue, du Ponceau, 95014 Cergy-Pontoise Cedex, France ' Equipe Commande des Systèmes (ECS-Lab), ENSEA, 6 Avenue, du Ponceau, 95014 Cergy-Pontoise Cedex, France

Abstract: This paper addresses the design of a secure data transmission based on the synchronisation of two chaotic systems, with the use of unknown-input observers. The approach proposed here enhances the security level against intruders thanks to an intricate encryption system. It is shown also that this approach provides more robustness with respect to channel noise. The main feature consists in separating the encryption and synchronisation operations by using two coupled continuous chaotic systems in the transmitter. Technically, the scheme is based on impulsive and sliding mode unknown-input observers. This offers the advantage of estimating the (master) states and of reconstructing the unknown inputs simultaneously. The performances of the proposed method are highlighted by simulation results.

Keywords: chaos; sliding mode observers; impulsive observers; delays; robustness; chaotic synchronisation; secure data transmission; communications security; encryption; cryptography; channel noise; simulation.

DOI: 10.1504/IJMIC.2013.057564

International Journal of Modelling, Identification and Control, 2013 Vol.20 No.4, pp.305 - 318

Published online: 27 Sep 2014 *

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