Anti-synchronization of a class of chaotic systems with uncertainty and disturbance using the UDE-based control method

This paper investigates the anti-synchronization of a class of chaotic systems with both model uncertainty and external disturbance. Firstly, a new uncertainty and disturbance estimation (UDE)-based adaptive control method is proposed, which combines the adaptive control method and the UDE-based control method. Secondly, a 4D hyper-chaotic system is taken as an example, and the anti-synchronization of this system is realized. Finally, the effectiveness and correctness of the proposed method is verified by numerical simulation.