Synchronization of uncertain chaotic systems using generalized predictive control based on fuzzy PID controllers

In this paper, we investigate the synchronization of chaotic systems with unknown parameters using generalized predictive control based on fuzzy PID controllers. In order to verify the efficiency of the proposed method, fuzzy PD+I and fuzzy PI+D controllers are successively used with and without prediction terms for the synchronization of two uncertain Lorenz systems. For fuzzy PD+I controller, the prediction terms seem to be efficient for the synchronization. However, with the fuzzy PI+D controller, they make a noise and worsen the performance of the controller.