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Synchronization of N-Non-Linear Slave Systems with Master System Using Non-Adaptive and Adaptive Coupled Observers

Author

Listed:
  • Ghayyur Hussain

    (Department of Electrical Engineering & Computer Science, NFC Institute of Engineering and Technology, Multan 66000, Pakistan)

  • Muhammad Siddique

    (Department of Electrical Engineering & Computer Science, NFC Institute of Engineering and Technology, Multan 66000, Pakistan)

  • Muhammad Majid Hussain

    (Department of Electrical and Electronic Engineering, University of South Wales, Pontypirdd CF37 1DL, UK)

  • Muhammad Tahir Hassan

    (Department of Mechanical Engineering, Bahauddn Zakariya University, Multan 66000, Pakistan)

  • Naeem Aslam

    (Department of Electrical Engineering & Computer Science, NFC Institute of Engineering and Technology, Multan 66000, Pakistan)

Abstract

Synchronization of N-slave chaotic systems with a master system is a challenging task, particularly in recent times. In this paper, a novel methodology is proposed for synchronizing the N number of slave systems with a master system. The proposed methodology is based on coupled adaptive synchronous observers. The difference between the corresponding states of master and slave systems is converged to the origin by means of a novel feedback control scheme to achieve synchronization between the master and slave systems. The efficacy of the proposed methodology is verified through a simulation of FitzHugh–Nagumo non-linear systems in MATLAB. The simulation results validate and prove claims, and these systems are successfully synchronized by CCS and CCAS observer-based control.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:11:p:3190-:d:565298
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    References listed on IDEAS

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    3. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
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