Lur'e主从系统的二次反馈型脉冲同步控制  

Quadradtic Feedback Type Impulsive Synchronization Control of Lur’e Master-Slave System

作　　者：王万林 黄振坤[1] 赵玲[1] WANG Wanling;HUANG Zhenkun;ZHAO Ling(School of Sciences,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《应用数学》2023年第4期868-876,共9页Mathematica Applicata

基　　金：国家自然科学基金(61573005);福建省自然科学基金(2019J01330)。

摘　　要：本文研究Lur’e主从系统的脉冲同步控制问题.考虑脉冲控制器带有二次反馈的情况,利用多面体凸组合、线性矩阵不等式(LMI)和Lyapunov稳定性理论,设计两种在二次输出反馈型脉冲控制下主从系统同步的新策略.最后,通过数值模拟验证了所得结果的可行性与有效性.In this paper,the impulsive synchronization control of Lur’e master-slave system is studied.For the case that the impulsive controller has quadratic feedback,two new synchronization strategies of master-slave system under quadratic output feedback type impulsive control are designed by using polytope convex combination,linear matrix inequality(LMI)and Lyapunov stability theory.Finally,the feasibility and effectiveness of the results are verified by numerical simulations.

关 键 词：脉冲控制 二次反馈 同步 Lur’e主从系统 

分 类 号：O193[理学—数学]