A new method for quantized sampled-data synchronization of delayed chaotic Lur’e systems

Abstract

• The extended Wirtinger-inequality-based Lyapunov approach is newly proposed. • A zero equality is formulated, which can capture the information of system at the dynamic partitioning point. • A quantized sampled-data controller is designed. • Compared with some existing results, less conservative synchronization criteria are established for chaotic Lur’e systems. We design a quantized sampled-data controller for synchronization of delayed chaotic Lur’e systems. A new approach, extended Wirtinger-inequality-based Lyapunov–Krasovskii functional, is firstly proposed. This approach grasps more sampling information by introducing more free matrices in comparison with some existing methods. Using the system information at the dynamic partitioning point, a zero equality is formulated to fully utilize the inner sampling information. Based on the new approach and zero equality, some novel synchronization criteria are established. In the meantime, the desired quantized sampled-data control gain is obtained with larger sampling period than those in the existing works. Finally, two numerical examples illustrate the merits of the method.