一种基于时滞区间不均分方法的变时延网络控制系统的新稳定性条件  

A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach

作　　者：张俊[1,2] 罗大庸[1] 孙妙平[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410075 [2]湖南现代物流职业学院,湖南长沙410131

出　　处：《电子学报》2016年第1期54-59,共6页Acta Electronica Sinica

基　　金：国家青年科学基金(No.61403425);湖南省科技厅课题(No.2013GK3137);湖南省教育厅课题(No.14C0814)

摘　　要：针对一种变时延线性网络控制系统,采用时滞区间不均分法,将时滞分割成m个区间.在每个区间都构建不同的Lyapunov-Krasovskii泛函,并引入三重积分项,同时结合自由权矩阵法,在各自的时滞区间上采用保守性小的积分不等式来处理泛函导数,进而获得了保证网络控制系统的一种新的稳定性条件.并且,最后通过相应的数值算例验证了本文中的结论.Aimed to a type of networked control system with time-varying delay,it divided the time area into m sections unevenly. Then,it made each different Lyapunov-Krasovskii functional by taking triple integral and combined with freeweighting matrices,used less conservative integral inequality to tackle the derivative of Lyapunov-Krasovskii functional. Furthermore,it got a newstability condition for time-varying delay of networked control system. Finally,numerical example was given to prove the result in this paper.

关 键 词：变时延 网络控制系统 LYAPUNOV-KRASOVSKII泛函 稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]