Title: A new implementation of an impulsive synchronisation of two discrete-time hyperchaotic systems using Arduino-Uno boards

Authors: Hamid Hamiche; Ouerdia Megherbi; Redouane Kara; Saïd Djennoune; Rafik Saddaoui; Mourad Laghrouche

Addresses: Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria ' Laboratoire d'Analyse et Modélisation des Phénomènes Aléatoires, UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria ' Laboratoire d'Analyse et Modélisation des Phénomènes Aléatoires, UMMTO, BP 17 RP, 15000, Tizi-Ouzou, Algeria

Abstract: In this paper, we present experimental results on impulsive synchronisation between two discrete-time hyperchaotic systems. In the first part, we give some sufficient conditions on the asymptotic synchronisation by using varying impulsive distance in order to guarantee the impulsive synchronisation of the two mentioned systems. Numerical simulations are provided to show the effectiveness of the method. Next, an easy experimental implementation is realised using the Arduino-Uno boards. The obtained experiment results validate the proposed approach.

Keywords: hyperchaotic system; impulsive observer; impulsive synchronisation; experimental realisation; Arduino-Uno boards.

DOI: 10.1504/IJMIC.2017.085937

International Journal of Modelling, Identification and Control, 2017 Vol.28 No.2, pp.177 - 186

Received: 21 Mar 2016
Accepted: 05 Sep 2016
Published online: 18 Aug 2017 *

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