Synchronise Control of Chua Circuits

Chua circuit is a nonlinear circuit that shows complex dynamical behaviour including chaos. In chaos theory, the principle is known as ‘Butterfly Effect’ where a small change in the initial condition will cause large difference in the result.   In this paper, the range of value of a resistor that ca...

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Bibliographic Details
Published in:International Journal of Electrical Engineering and Applied Sciences (Online) 2020-12, Vol.3 (2)
Main Authors: Nur Aziela Zailan, Ainain Nur Hanafi, Azrita Alias, Aznilinda Zainuddin
Format: Article
Language:English
Subjects:
Chaos
Chua circuit
Nonlinear system
Synchronisation
Online Access:Get full text
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Summary:Chua circuit is a nonlinear circuit that shows complex dynamical behaviour including chaos. In chaos theory, the principle is known as ‘Butterfly Effect’ where a small change in the initial condition will cause large difference in the result.   In this paper, the range of value of a resistor that cause chaotic behaviour is identified. A mathematical modelling is derived from the Chua’s circuit and represented in state-space equation. Then, a state-feedback controller is configured to stabilise and synchronise the slave system for two cases of reference input, that are, constant and chaotic signals. The output results showed the slave system follows the master system’s behaviour with zero synchronisation error.
ISSN:2600-7495
2600-9633