Synchronization of chaotic Lur'e systems using sampled-data PD control

This paper investigates the problem of sampled-data PD control for master-slave synchronization of chaotic Lur'e systems with time delays and external disturbance. For delayed chaotic Lur'e systems, some new synchronization criteria are derived by constructing a new Lyapunov function based on the sampled-data PD control. Furthermore, some less conservative synchronization criteria for chaotic Lur'e systems are obtained by employing a tighter bound technique to estimate the derivative of the Lyapunov function. The proposed sampled-data controller is designed by linear matrix inequality approach. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.