Synchronization and Anti-Synchronization of Unidirectional and Bidirectional Coupled Chaotic Systems by Terminal Sliding Mode Control

Abstract

In this chapter, the synchronization and anti-synchronization of coupled unidirectional and bi-directional chaotic systems by terminal sliding mode control strategy are shown. The unidirectional synchronization consists in establishing a drive chaotic system and a response chaotic system in order to synchronize the variables of the response system in finite time. The unidirectional and bi-directional anti-synchronization consist in anti-synchronizing mutually a coupled chaotic system in both directions. For these purposes, terminal sliding mode control techniques are implemented. Three systems considered for experimental purposes in this study, a Lorenz, Rossler, and Ikeda systems are used for analysis and experimentation of synchronization and anti-synchronization. Three numerical experiments are shown to test the performance of the obtained proposed strategy.