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.

本文重点讨论不同混沌系统的同步问题，其中两个系统（即主系统和从系统）都预计会受到外部干扰和模型不确定性的干扰。如果不确定性的界限是已知和可用的，则同步的控制问题通过具有滑模控制的反推的鲁棒聚合来解决。然而，在实际应用中获得不确定性的界限是相当困难的。使用适应法则来估计不确定性。所提出的控制方案实践了李雅普诺夫稳定性理论，以确认闭环系统的渐近稳定性。随后，详细介绍了一组仿真工作，以验证混沌同步方法的有效性。