时滞Lur’e网络的事件触发脉冲自适应同步控制  

Event-triggered impulsive adaptive synchronization control on delayed Lur'e networks

作　　者：王志华 汤泽 王艳[1,2] 丰建文 WANG Zhi-hua;TANG Ze;WANG Yan;FENG Jian-wen(School of Internet of Things Engineering,Jiangnan University,Wuxi Jiangsu 214122,China;Engineering Research Center of Internet of Things Technology Application(Ministry of Education),Jiangnan University,Wuxi Jiangsu 214122,China;College of Mathematics and Statistics,Shenzhen University,Shenzhen Guangdong 518060,China)

机构地区：[1]江南大学物联网工程学院,江苏无锡214122 [2]江南大学物联网应用技术教育部工程研究中心,江苏无锡214122 [3]深圳大学数学与统计学院,广东深圳518060

出　　处：《控制理论与应用》2024年第7期1296-1303,共8页Control Theory & Applications

基　　金：国家自然科学基金项目(61803180,61873171,61973138);江苏省自然科学基金项目(BK20231492,BK20180599);中国博士后科学基金项目(2021T140280,2020M681484);国家重点研发计划项目(2018YFB1701903)资助。

摘　　要：本文研究了一类带有混合时变时滞Lur’e网络的全局同步及其脉冲自适应控制问题.首先,为实现网络的全局指数同步并有效避免控制器连续控制,设计了一类基于事件触发的脉冲反馈控制器.同时,为获得最优控制强度,针对反馈控制输入设计了一种自适应更新定律并实现脉冲控制与反馈控制的动态平衡.其次,基于推广的比较原理以及参数变分策略,提出了该控制策略下的Lur’e网络实现全局指数同步的充分判定条件,并精确给出了指数同步的收敛速度.最后,通过相应的仿真算例来验证本文提出的控制方案和理论分析的正确性和有效性.This article investigates the globally exponential impulsive adaptive synchronization problem of Lur'e network with hybrid time-varying delays.Firstly,an event-trigger-based impulsive feedback controller is designed to achieve the exponential synchronization and avoid consecutive control.In order to acquire optimal control strength,an adaptive updating law is designed to realize the dynamical balance between impulsive control and feedback control.Secondly,thanks to the application of generalized comparison principle and parameter-variation formula,sufficient conditions to achieve globally exponential synchronization under the proposed control scheme are derived.Meanwhile,the velocity of convergence is precisely estimated.Finally,relative simulation example is provided to illustrate the correctness and effectiveness of the proposed control scheme and theoretical analysis.

关 键 词：Lur’e网络 事件触发 全局同步 脉冲控制 自适应控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]