Two ZNN-Based Unified SMC Schemes for Finite/Fixed/Preassigned-Time Synchronization of Chaotic Systems

Sliding mode control (SMC) is widely recognized as an effective control scheme for the synchronization of chaotic systems (CSs). However, numerous existing SMC schemes for chaos synchronization assume a noise-free environment and depend on multiple parameters. In this study, to address these limitations, two zeroing neural network (ZNN) schemes are utilized to establish nonlinear sliding mode surfaces and control laws for the first time. As a result, two ZNN-based unified SMC schemes, namely ZNN-USMC schemes, are put forward to accomplish finite/fixed/preassigned-time synchronization of CSs. Notably, theoretical analysis proves that the constructed ZNN-USMC schemes can achieve finite-time, fixed-time, or preassigned-time synchronization of CSs under bounded disturbances. Furthermore, synchronization simulations are provided to substantiate the convergence and robustness of these novel schemes. Ultimately, the ZNN-USMC schemes are applied to memristor chaotic systems to demonstrate their feasibility.