基于双边闭环函数的网络化采样控制系统稳定性分析  

Stability analysis of networked control system based on two-sided looped functionals

作　　者：曾红兵[1] 颜俊杰 肖会芹[1] ZENG Hong-bing;YAN Jun-jie;XIAO Hui-qin(School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China)

机构地区：[1]湖南工业大学电气与信息工程学院,湖南株洲412007

出　　处：《控制理论与应用》2023年第3期525-530,共6页Control Theory & Applications

基　　金：国家自然科学基金项目(62173136);湖南省自然科学基金项目(2020JJ2013,2021JJ50047)资助。

摘　　要：考虑数据通信时延不确定环境下网络化采样控制系统的稳定性问题.首先基于输入时滞方法,建立包含采样周期信息的网络化采样控制系统的数学模型,在此基础上,采用双边闭环函数方法和自由矩阵积分不等式技术,得到网络传输时滞变化区间依赖稳定性新准则,并进一步讨论了网络化采样控制系统中网络时延与采样周期之间的关系.仿真结果表明减小采周期可以增强网络控制系统对网络通信时延的鲁棒性.The stability of a class of networked sampled-data control systems with data transmission delay is studied.Firstly,based on the input delay method,a model of networked control systems with periodic sampling is established.On this basis,a new stability criterion with uncertain transmission delay is obtained by using the two-sided looped function method and the free matrix integral inequality technique.Furthermore,the relationship of uncertain data transmission delay and the sampling period in networked sampled-data control system is investigated.Simulation results show that reducing the sampling period can improve the robustness of networked control system.

关 键 词：网络控制系统 双边闭环函数 自由矩阵积分不等式 不确定数据传输时滞 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]