This paper proposes a new approach to investigate the problem of designing sampled-data controller for master–slave synchronization of chaotic Lur’e systems with time delay. Compared with existing methods, this method can make full use of the information of actual sampling pattern. To reflect more realistic the information on both the intervals e(t) to \(e(t_{k})\) and e(t) to \(e(t_{k+1})\), a novel two-side sampling-interval-dependent discontinuous Lyapunov functional (DLF) is constructed, which can fully utilizes the available characteristics of actual sampling information. Based on this DLF and by using modified free-matrix-based integral inequality, novel less conservative stability criteria of the synchronization error system are derived in the form of linear matrix inequalities, which guarantee the master system synchronizes with the slave system. At the same time, the gain matrix of the sampling controller is gained with a bigger sampling interval than the previous conclusions. Simulation results are provided to demonstrate the effectiveness and benefits of the presented synchronization scheme.

本文提出了一种新的方法来研究设计采样数据控制器的问题，用于具有时间延迟的混沌 Lur'e 系统的主从同步。与现有方法相比，该方法可以充分利用实际采样模式的信息。为了更真实地反映e ( t ) 到\(e(t_{k})\)和e ( t ) 到\(e(t_{k+1})\) 的信息，构建了一种新颖的两侧采样间隔相关的不连续李雅普诺夫泛函（DLF），它可以充分利用实际采样信息的可用特性。在此DLF的基础上，利用修正的基于自由矩阵的积分不等式，以线性矩阵不等式的形式推导出同步误差系统的新的较保守的稳定性判据，保证主系统与从系统同步。同时，采样控制器的增益矩阵以比之前结论更大的采样间隔获得。提供了仿真结果来证明所提出的同步方案的有效性和好处。