Switched Combination Synchronization of Nonidentical Fractional-Order Chaotic Systems using Neuro-Fuzzy Sliding Mode Control

This work presents a novel chaos synchronization scheme for non-identical fractional-order chaotic systems. The new scheme, called switched combination synchronization, integrates the concepts of switched synchronization and combination synchronization in a unified framework where two drive systems, called base systems, are swapped using a switching factor and are combined with a third drive system, called the masking system. A response system is synchronized with the resulting multi-drive systems using a neuro-fuzzy sliding mode control (NFSMC) approach. A soft switching algorithm using the neuro-fuzzy switch is designed to ensure the stability of the system during the transition of drive systems. Simulation results confirm the higher performance of the proposed control approach, compared to a regular sliding mode control (SMC) and a proportional-integral-derivative (PID) controller, in switched combination synchronization of chaotic systems.