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Parameters estimation based adaptive Generalized Projective Synchronization (GPS) of chaotic Chua’s circuit with application to chaos communication by parametric modulation

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  • Kuetche Mbe, E.S.
  • Fotsin, H.B.
  • Kengne, J.
  • Woafo, P.

Abstract

In this paper we study the design and implementation of adaptive Generalized Projective Synchronization (GPS) problem between two chaotic circuits (master and slave) via a scalar transmitted signal and by a new method not requiring the same structure of master and slave circuits. Starting from a simple synchronization method, a renormalization technique enables us to design an adaptive observer (slave) of the known Chua’s circuit using simple and standard electronic components. This observer identifies some parameters proportional to values of components of the master with which it synchronizes through GPS when values of these parameters vary with time. Both numerical simulation and Pspice simulation of GPS for chaos communication by parametric modulation between the two circuits are performed.

Suggested Citation

  • Kuetche Mbe, E.S. & Fotsin, H.B. & Kengne, J. & Woafo, P., 2014. "Parameters estimation based adaptive Generalized Projective Synchronization (GPS) of chaotic Chua’s circuit with application to chaos communication by parametric modulation," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 27-37.
    • Handle: RePEc:eee:chsofr:v:61:y:2014:i:c:p:27-37
    DOI: 10.1016/j.chaos.2014.02.004
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    References listed on IDEAS

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    1. Wang, Yan-Wu & Guan, Zhi-Hong, 2006. "Generalized synchronization of continuous chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 97-101.
    2. Fotsin, Hilaire & Bowong, Samuel, 2006. "Adaptive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 822-835.
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    4. Cao, Jinde & Li, H.X. & Ho, Daniel W.C., 2005. "Synchronization criteria of Lur’e systems with time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1285-1298.
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    2. Sharma, Vivek & Sharma, B.B. & Nath, R., 2017. "Nonlinear unknown input sliding mode observer based chaotic system synchronization and message recovery scheme with uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 51-58.
    3. Wang, Zhixiang & Zhang, Chun & Ding, Zuqin & Bi, Qinsheng, 2023. "From period-doubling bursting to chaotic–periodic bursting in a modified Chua’s circuit," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Tutueva, Aleksandra V. & Moysis, Lazaros & Rybin, Vyacheslav G. & Kopets, Ekaterina E. & Volos, Christos & Butusov, Denis N., 2022. "Fast synchronization of symmetric Hénon maps using adaptive symmetry control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. Ghayyur Hussain & Muhammad Siddique & Muhammad Majid Hussain & Muhammad Tahir Hassan & Naeem Aslam, 2021. "Synchronization of N-Non-Linear Slave Systems with Master System Using Non-Adaptive and Adaptive Coupled Observers," Energies, MDPI, vol. 14(11), pages 1-16, May.
    6. Iqbal, Muhammad & Rehan, Muhammad & Hong, Keum-Shik & Khaliq, Abdul & Saeed-ur-Rehman,, 2015. "Sector-condition-based results for adaptive control and synchronization of chaotic systems under input saturation," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 158-169.

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