Control, synchronisation and antisynchronisation of chaos in two non-identical Josephson junction models via sliding mode control and its FPGA implementation

The control, synchronisation and antisynchronisation of chaos in Josephson junction (JJ) and linear piecewise JJ models via sliding mode control method are investigated in this paper. Thanks to the Routh–Hurwitz stability criterion, the sliding mode controllers are designed to control chaos in JJ mo...

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Published in:Pramāṇa Vol. 97; no. 1
Main Authors: Ramakrishnan, Balamurali, Tamba, Victor Kamdoum, Metsebo, Jules, Tokoue Ngatcha, DiaNorré, Rajagopal, Karthikeyan
Format: Journal Article
Language:English
Published: New Delhi Springer India 28.02.2023
Subjects:
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
field programmable gate array implementation
05.40.-a; 05.40.Ac; 05.45.Pq
05.45.Gg
antisynchronisation
chaos control
sliding mode control method
Josephson junction model
synchronisation
ISSN:0973-7111, 0973-7111
Online Access:Get full text
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Abstract The control, synchronisation and antisynchronisation of chaos in Josephson junction (JJ) and linear piecewise JJ models via sliding mode control method are investigated in this paper. Thanks to the Routh–Hurwitz stability criterion, the sliding mode controllers are designed to control chaos in JJ models and achieve synchronisation schemes between two non-identical JJ models. Numerical simulations are shown to clarify and confirm the chaos control and synchronisation schemes. Finally, field programmable gate array (FPGA) implementation is designed to reproduce the above-mentioned results and its correctness is confirmed using the FPGA analysis.
AbstractList The control, synchronisation and antisynchronisation of chaos in Josephson junction (JJ) and linear piecewise JJ models via sliding mode control method are investigated in this paper. Thanks to the Routh–Hurwitz stability criterion, the sliding mode controllers are designed to control chaos in JJ models and achieve synchronisation schemes between two non-identical JJ models. Numerical simulations are shown to clarify and confirm the chaos control and synchronisation schemes. Finally, field programmable gate array (FPGA) implementation is designed to reproduce the above-mentioned results and its correctness is confirmed using the FPGA analysis.
ArticleNumber 46
Author Rajagopal, Karthikeyan
Tamba, Victor Kamdoum
Tokoue Ngatcha, DiaNorré
Ramakrishnan, Balamurali
Metsebo, Jules
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  surname: Metsebo
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  surname: Tokoue Ngatcha
  fullname: Tokoue Ngatcha, DiaNorré
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  givenname: Karthikeyan
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  fullname: Rajagopal, Karthikeyan
  organization: Centre for Nonlinear Systems, Chennai Institute of Technology
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crossref_primary_10_1016_j_solener_2023_112274
crossref_primary_10_1016_j_chaos_2023_114274
crossref_primary_10_3390_technologies12100184
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Issue 1
Keywords field programmable gate array implementation
05.40.-a; 05.40.Ac; 05.45.Pq
05.45.Gg
antisynchronisation
chaos control
sliding mode control method
Josephson junction model
synchronisation
Language English
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Snippet The control, synchronisation and antisynchronisation of chaos in Josephson junction (JJ) and linear piecewise JJ models via sliding mode control method are...
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Title Control, synchronisation and antisynchronisation of chaos in two non-identical Josephson junction models via sliding mode control and its FPGA implementation
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