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Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty

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  • Handa, Himesh
  • Sharma, B.B.

Abstract

In this paper, a new adaptive feedback control design technique for the synchronization of a class of chaotic systems in master–slave configuration is proposed. The controller parameters are assumed to be unknown and are evolved using adaptation laws so as to achieve synchronization. To replicate real system operation, uncertainties are considered in both master as well as salve system parameters and adaptation laws for uncertain parameters are analytically derived using Lyapunov stability theory. The proposed strategy is derived by mimicking model reference adaptive control like structure for synchronization problem. To validate the methodology, two Genesio–Tesi systems and two Rossler's Prototype-4 systems are considered in master–slave configuration for synchronization. The analysis is done first with known system parameters and then uncertainties in system parameters are considered. Finally, detailed simulation results are provided to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Handa, Himesh & Sharma, B.B., 2016. "Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 50-63.
    • Handle: RePEc:eee:chsofr:v:86:y:2016:i:c:p:50-63
    DOI: 10.1016/j.chaos.2016.02.020
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    References listed on IDEAS

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    1. Sharma, B.B. & Kar, I.N., 2009. "Parametric convergence and control of chaotic system using adaptive feedback linearization," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1475-1483.
    2. Park, Ju H., 2006. "Synchronization of Genesio chaotic system via backstepping approach," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1369-1375.
    3. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A new observer-based synchronization scheme for private communication," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1025-1030.
    4. Xiong, Xiaohua & Wang, Junwei, 2009. "Conjugate Lorenz-type chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 923-929.
    5. Sharma, B.B. & Kar, I.N., 2009. "Contraction theory based adaptive synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2437-2447.
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    Cited by:

    1. Bo Wang, 2019. "Results on a Novel Piecewise-Linear Memristor-Based Chaotic System," Complexity, Hindawi, vol. 2019, pages 1-6, January.
    2. Pal, Pikaso & Mukherjee, V. & Alemayehu, Hinsermu & Jin, Gang Gyoo & Feyisa, Gosa, 2021. "Generalized adaptive backstepping sliding mode control for synchronizing chaotic systems with uncertainties and disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 793-807.

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