Observe-Based Complete Synchronization of Chaotic Complex Systems

In recent years, engineering approaches have been extensively employed in the synchronization control of chaotic systems [86–91]. Among these methods, the state observer-based control strategy stands out, as it eliminates the need to construct a synchronous conditional Lyapunov function and does not require the initial states of the two chaotic systems to be synchronized within the same attractor domain, thereby garnering significant attention from researchers [92–95]. This chapter adopts the state observer design-based control method to investigate complete synchronization (CS) of complex chaotic systems and provides a specific case of synchronization achieved via this approach. Section 3.1 focuses on the realization of observer-based complete synchronization. Section 3.2 presents several simulation examples to verify the proposed method.