一类不确定时滞系统的非脆弱H∞控制  

Nonfragile H∞Control for a Class of Uncertain Time-delay Systems

作　　者：刘婕[1] 张晓雪 徐丽晓 LIU Jie;ZHANG Xiao-xue;XU Li-xiao(Dezhou University,School of Mathematics and Big Data,Dezhou Shandong 253023,China;Dezhou University,Office of Academic Affairs,Dezhou Shandong 253023,China)

机构地区：[1]德州学院数学与大数据学院,山东德州253023 [2]德州学院教务处,山东德州253023

出　　处：《德州学院学报》2023年第2期12-17,共6页Journal of Dezhou University

摘　　要：针对一类具有强结构不确定性的时滞系统,构造了适当的Lyapunov函数,得到了系统内部渐进稳定的判断准则。同时,借助线性矩阵不等式的可行解设计了系统的非脆弱反馈控制器。最后,通过数值示例验证了理论结果的有效性。For a class of time-delay systems with strong structural uncertainty,an appropriate Lyapunov function is constructed and a criterion for the inter nal asymptotic stability of the system is obtained.At the same time,a non-fragile feedback controller is designed by means of the feasible solution of LMI.Finally,a numerical example is given to verify the validity of the theoretical results.

关 键 词：不确定时滞系统 H∞控制 非脆弱状态反馈 线性矩阵不等式 

分 类 号：O224[理学—运筹学与控制论]