Synchronization in a multilevel network using the Hamilton–Jacobi–Bellman (HJB) technique

This paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton–Jacobi–Bellman technique, the optimal control law with a three-state variable feedback is designed such that the trajectories of all the Rössler oscillators...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2022-09, Vol.32 (9), p.093133-093133
Main Authors: Njougouo, Thierry, Camargo, Victor, Louodop, Patrick, Fagundes Ferreira, Fernando, Talla, Pierre K., Cerdeira, Hilda A.
Format: Article
Language:English
Subjects:
Control systems design
Control theory
Effectiveness
Optimal control
Optimization
Oscillators
Synchronism
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Summary:This paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton–Jacobi–Bellman technique, the optimal control law with a three-state variable feedback is designed such that the trajectories of all the Rössler oscillators in the network are optimally synchronized at each level. Furthermore, we provide numerical simulations to demonstrate the effectiveness of the proposed approach for the cases of one and three networks. A perfect correlation between the MATLAB and PSpice results was obtained, thus allowing the experimental validation of our designed controller and shows the effectiveness of the theoretical results.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0088880