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Generalized adaptive backstepping sliding mode control for synchronizing chaotic systems with uncertainties and disturbances

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  • Pal, Pikaso
  • Mukherjee, V.
  • Alemayehu, Hinsermu
  • Jin, Gang Gyoo
  • Feyisa, Gosa

Abstract

This article focuses on the synchronization problem of different chaotic systems where both the systems (i.e., master and slave) are anticipated to be perturbed with external disturbances and model uncertainties. The control problem of synchronization is addressed with a robust aggregate of backstepping with sliding mode control provided the bound of uncertainty is known and available. However, obtaining the bound of uncertainties in practical applications is considerably difficult. An adaptation law is used to estimate the uncertainty. The proposed control scheme practices the Lyapunov stability theory to confirm the asymptotic stability of the closed-loop system. Subsequently, a set of simulation works in detail are presented to validate the effectiveness of the chaos synchronization method.

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  • 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.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:793-807
    DOI: 10.1016/j.matcom.2021.06.018
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    References listed on IDEAS

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    1. Farivar, Faezeh & Shoorehdeli, Mahdi Aliyari & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2009. "Generalized projective synchronization for chaotic systems via Gaussian Radial Basis Adaptive Backstepping Control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 826-839.
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    Cited by:

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    2. Lili Wu & Dongyun Wang & Chunwei Zhang & Ardashir Mohammadzadeh, 2022. "Chaotic Synchronization in Mobile Robots," Mathematics, MDPI, vol. 10(23), pages 1-15, December.

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