Complete synchronization a four-dimensional system via adaptive DE-based control method

In this paper, complete synchronization of new four-dimensional system with both external disturbances and unknown parameters is studied. Firstly, a suitable filter is proposed, based on which the disturbance estimator is presented and applied to asymptotically cancel the periodic disturbances. Secondly, an adaptive controller is obtained to stabilize the nominal system which is not affected by the external disturbances. Combining the results of the two steps, an adaptive disturbance estimator (DE)-based controller is obtained and used to realize the complete synchronization problem of the new four-dimensional system subject to external disturbances. Finally, the validity and correctness of the above theoretical methods are verified by MATLAB numerical simulation.