Design of PD controller for master-slave synchronization of Lur'e systems with time-delay

In this paper, design of PD controller for master-slave synchronization of Lur'e systems with time-delay has been considered. A new delay-dependent synchronization criterion is derived based on the integral inequality method and free weighting matrices. The criteria are given in terms of LMIs, which can be easily solved by LMI Toolbox in Matlab. A numerical example is given to illustrate the effectiveness of the method.