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A novel approach to synchronization conditions for delayed chaotic Lur’e systems with state sampled-data quantized controller
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2020-07-30 , DOI: 10.1016/j.jfranklin.2019.11.083
Tao Wu , Ju H. Park , Lianglin Xiong , Xueqin Xie , Haiyang Zhang

This paper, by designing a state quantized sampled-data controller (SQSDC), studies the synchronization issue for delayed chaotic Lur’e systems (CLSS). A novel method, the auxiliary function-based-inequality Lyapunov–Krasovskii functional (LKF), is for the first time to be introduced. This method can make the best of more the obtainable information about the practical sampling pattern in comparison with some existing approaches. A new zero-valued equation, which increases the combinations of some resulting vectors, is firstly formulated. According to the novel method and zero-valued equation, some new master-slave synchronization (MSS) conditions are established. Meanwhile, the corresponding SQSDC gain matrix is obtained with the bigger sampling interval (SI) than those in the existing works. Finally, the effectiveness and advantages of the proposed method are shown by two numerical examples.



中文翻译:

具有状态采样数据量化控制器的延迟混沌Lur'e系统同步条件的新方法

本文通过设计状态量化采样数据控制器(SQSDC),研究了延迟混沌Lur'e系统(CLSS)的同步问题。首次引入一种新的方法,即基于辅助函数的不等式Lyapunov–Krasovskii函数(LKF)。与某些现有方法相比,该方法可以充分利用有关实际采样模式的可获得信息。首先制定了一个新的零值方程,该方程增加了一些所得向量的组合。根据新方法和零值方程,建立了一些新的主从同步条件。同时,以比现有工作更大的采样间隔(SI)获得相应的SQSDC增益矩阵。最后,

更新日期:2020-09-10
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