Title: Synchronisation among multiple chaotic systems connected in chain and star configuration using backstepping strategy

Authors: Samit Changder; Bharat Bhushan Sharma

Addresses: Electrical Engineering Department, National Institute of Technology Hamirpur, Hamirpur, Himachal Pradesh, 177005, India ' Electrical Engineering Department, National Institute of Technology Hamirpur, Hamirpur, Himachal Pradesh, 177005, India

Abstract: The present paper addresses synchronisation of multiple chaotic systems using backstepping methodology. In this approach, multiple chaotic systems belonging to a proposed class of nonlinear systems and connected in chain and star configuration are considered. The controllers are designed by developing generalised error dynamics between consecutive systems in the networks and systematic stage by stage procedure blended with Lyapunov theory is used to obtain the structure of controllers. The procedure, thus, is a generalised synchronisation method for interconnection of a class of systems with single nonlinearity. Numerical simulations on chain and star interconnection of chaotic Chua's systems are carried out in order to demonstrate the efficacy and feasibility of this proposed approach. The proposed approach can provide a method, which is applicable for designing combinational synchronisation among multiple chaotic systems in various other configurations.

Keywords: synchronisation; backstepping method; chain configuration; star configuration; Lyapunov stability criteria.

DOI: 10.1504/IJSCC.2023.127485

International Journal of Systems, Control and Communications, 2023 Vol.14 No.1, pp.60 - 80

Received: 13 Jan 2022
Accepted: 27 May 2022
Published online: 06 Dec 2022 *