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Single‐channel predefined‐time synchronisation of chaotic systems
Author(s) -
MuñozVázquez Aldo Jonathan,
SánchezTorres Juan Diego,
AnguianoGijón Carlos Alberto
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2234
Subject(s) - computer science , chaotic , channel (broadcasting) , secure communication , synchronization (alternating current) , lyapunov stability , control theory (sociology) , observer (physics) , reliability (semiconductor) , stability (learning theory) , communications system , scheme (mathematics) , mode (computer interface) , control (management) , computer network , mathematics , encryption , mathematical analysis , power (physics) , physics , quantum mechanics , artificial intelligence , machine learning , operating system
Chaos has attracted the interest of the research community due to its applications in secure communication, and in the study of complex systems in physics, engineering and other applied sciences. In the particular case of secure communication, fast synchronisation is a requirement to avoid any loss of information at the initial stage, when the signalisation data is transmitted. With the aim of providing fast and precise synchronisation, a novel algorithm is proposed in this paper, such that, by considering just one channel of communication, a dynamic observer synchronises with a chaotic system in predefined‐time. The proposal is based on the equivalent control concept of sliding mode theory, and the stability of the synchronisation is demonstrated in the Lyapunov framework. A simulation study is carried out to highlight the reliability of the proposed scheme.