Title: Design of an optimal step-by-step sliding mode observer for multiple fractional-order chaotic synchronisation with an application to secure communication

Authors: Mahedi Abdelghani Atoussi; Slami Saadi; Bachir Nail

Addresses: The Applied Automation and Industrial Diagnostics Laboratory (LAADI), Department of Electrical Engineering, Faculty of Science and Technology, University of Ziane Achour Djelfa, Moudjbara Street, BP 3117, Djelfa, Algeria ' Department of Informatics, Faculty of Exact Sciences and Informatics, University of Ziane Achour Djelfa, Moudjbara Street, BP 3117, Djelfa, Algeria ' Mechanical Engineering, Materials, and Structures Laboratory, Department of Science and Technology, Faculty of Science and Technology, Tissemsilt University, Bougara Street, BP 192, Tissemsilt, Algeria

Abstract: The aim of this study is to achieve the best synchronisation in a secure communication scheme by using two fractional-order chaotic systems (FOCS), one for the transmitter and the other for the receiver. This synchronisation is done with the assistance of the step-by-step sliding mode observer (SBS-SMO). To improve the observer's performance, a novel optimisation algorithm called the artificial hummingbird algorithm (AHA) had been used, which leads to selecting the best parameters for the observer instead of selecting them randomly. The proposed scheme succeeded in recovering the secret message that could be (signal, voice, etc.) in the receiver section in a finite period of time.

Keywords: fractional-order systems; secure communication; Chua's systems; synchronisation; chaotic systems; artificial hummingbird algorithm; AHA.

DOI: 10.1504/IJANS.2023.133727

International Journal of Applied Nonlinear Science, 2023 Vol.4 No.1, pp.58 - 71

Received: 14 Sep 2022
Accepted: 14 Dec 2022
Published online: 02 Oct 2023 *

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