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

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

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 190, issue C, 793-807

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.

Keywords: Chaotic system; Genesio–Tesi; Synchronization; Backstepping sliding mode control; Lyapunov stability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:190:y:2021:i:c:p:793-807

DOI: 10.1016/j.matcom.2021.06.018

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