On designing time-delay feedback controller for master-slave synchronization of singular Lur´e systems

This paper is concerned with the problem of designing a time-delay output feedback controller for the master-slave synchronization of singular Lur´e systems. Based on the generalized Lyapunov-Krasovskii functional theory, a new delay-dependent synchronization criterion is derived by dividing the time delay into two intervals and designing different energy functions in each interval. The controller design algorithm is also given in terms of strict linear matrix inequality. A numerical example is used to illustrate the effectiveness of the design method.