Sliding Mode Control Technique for Multi-switching Synchronization of Chaotic Systems

In this manuscript, a sliding mode control technique is proposed for multi-switching synchronization of chaotic systems in which state variables of a master system are synchronized with different state variables of a slave system. Based on the sliding mode control technique and Lyapunov stability theory, the suitable controllers are designed for different switches. To implement this methodology, Lorenz chaotic system is taken as a master system and Pehlivan chaotic system is taken as a slave system. Simulation results are carried out to justify the theoretical results and revealed that the error dynamics tends to zero and required synchronization is obtained.