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

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. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This article focuses on the synchronization problem of different chaotic systems, addressing the control problem with a robust aggregate of backstepping and sliding mode control. An adaptation law is used to estimate uncertainty, while the Lyapunov stability theory is utilized to confirm the stability of the closed-loop system. Simulation works validate the effectiveness of the chaos synchronization method.