Inter network synchronisation of complex dynamical networks by using smooth proportional integral SMC technique

This paper puts forward the inter network synchronisation of complex dynamical networks (CDNs) using drive-response philosophy. The inter networks consist of a drive network (each node represents a hyperchaotic system) and a response network (consists of chaotic system at each node). Synchronisation...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2020-03, Vol.229 (5), p.861-876
Main Authors: Singh, Piyush Pratap, Roy, Binoy Krishna
Format: Article
Language:English
Subjects:
Atomic
Chaos theory
Classical and Continuum Physics
Condensed Matter Physics
Materials Science
Measurement Science and Instrumentation
Molecular
Networks
Nonextensive Statistical Mechanics
Optical and Plasma Physics
Physics
Physics and Astronomy
Process parameters
Proportional integral
Regular Article
Sliding mode control
Superstatistics and Beyond: Theory & Applications in Astrophysical and Other Complex Systems
Switching theory
Synchronism
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Summary:This paper puts forward the inter network synchronisation of complex dynamical networks (CDNs) using drive-response philosophy. The inter networks consist of a drive network (each node represents a hyperchaotic system) and a response network (consists of chaotic system at each node). Synchronisation is achieved using a novel proportional integral (PI) based sliding mode control (SMC) scheme and inter network synchronisation criterion is derived. Unlike the conventional SMC technique, the proposed proportional integral-sliding mode control (PI-SMC) technique does not result decoupled error dynamics. A smooth switching surface is designed to eliminate the chattering effect. The different network configurations: small-world and scale-free networks, are simulated and the simulation results show that the proposed synchronisation scheme is effective for the inter network synchronisation between two or more CDNs. The effect of relevant parameters on the synchronisation process in the Watts-Strogatz (WS) small-world and Barabasi-Albert (BA) scale-free networks are analysed. Finally, the proposed PI-SMC technique is compared with standard SMC technique to justify the advantages over the standard SMC technique.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2020-900149-3