Real-Time Synchronisation of Multiple Fractional-Order Chaotic Systems: An Application Study in Secure Communication

Author:

Nail Bachir1ORCID,Atoussi Mahedi Abdelghani1ORCID,Saadi Slami2ORCID,Tibermacine Imad Eddine3ORCID,Napoli Christian345ORCID

Affiliation:

1. Faculty of Science and Technology, University of Djelfa, BP 3117, Djelfa 17000, Algeria

2. Faculty of Exact Sciences & Informatics, University of Djelfa, BP 3117, Djelfa 17000, Algeria

3. Department of Computer, Automation and Management Engineering, Sapienza University of Rome, Via Ariosto, 25, 00185 Roma, Italy

4. Institute for Systems Analysis and Computer Science, Italian National Research Council, Via dei Taurini, 19, 00185 Roma, Italy

5. Department of Computational Intelligence, Czestochowa University of Technology, ul. J.H. Dabrowskiego 69, 42-201 Czestochowa, Poland

Abstract

In this paper, we use two Fractional-Order Chaotic Systems (FOCS)—one for the sender and one for the receiver—to determine the optimal synchronisation for a secure communication technique. With the help of the Step-By-Step Sliding-Mode Observer (SBS-SMO), this synchronisation is accomplished. An innovative optimisation method, known as the artificial Harris hawks optimisation (HHO), was employed to enhance the observer’s performance. This method eliminates the random parameter selection process and instead selects the optimal values for the observer. In a short amount of time, the secret message that could have been in the receiver portion (signal, voice, etc.) was successfully recovered using the proposed scheme. The experimental validation of the numerical results was carried out with the assistance of an Arduino microcontroller and several electronic components. In addition, the findings of the experiments were compared with the theoretical calculations, revealing a satisfactory level of agreement.

Funder

Age-It: Ageing Well in an Ageing Society project

European Union—NextGenerationEU

Publisher

MDPI AG

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