Robust adaptive synchronization control of delayed uncertain triangle chaotic systems based on disturbance observers

In this paper, a new robust adaptive synchronization control scheme is proposed using a backstepping technique to synchronize two delayed uncertain triangle chaotic systems. A nonlinear disturbance observer is developed using radical basis function (RBF) neural network. The robust adaptive synchronization control scheme is developed with a backstepping method based on the designed disturbance observer. Under the proposed robust adaptive synchronization control scheme, the robust stability of the synchronization error dynamic system is guaranteed. Finally, a simulation example is given to illustrate the effectiveness of the proposed synchronization control scheme.