基于自由矩阵的线性网络控制系统稳定性分析  

Stability analysis of linear network control systems based on free matrix

作　　者：张志翔 肖伸平[1,2] 黄远鹏 Zhang Zhixiang;Xiao Shenping;Huang Yuanpeng(School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou 412007,Hunan,China;Hunan Key Laboratory of Electric Drive Control and Intelligent Equipment,Zhuzhou 412007,Hunan,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 [2]电传动控制与智能装备湖南省重点实验室,湖南株洲412007

出　　处：《船电技术》2024年第1期22-26,共5页Marine Electric & Electronic Engineering

基　　金：国家重点研发计划基金资助项目(2019YFE0122600)。

摘　　要：本文主要研究了一类线性网络控制系统的稳定性问题。首先,将建立的网络控制系统模型转换为时变时滞系统模型;其次,构造一种新型扩展Lyapunov-Krasovskii泛函(LKF),同时使用广义的基于自由矩阵的积分不等式处理在LKF求导过程中产生的积分项,再基于引入的二次函数负定定理推导出一个具有较小保守性的稳定性准则。最后通过两个数例验证了该准则的有效性,进一步表明了本文所提出方法的可行性和低保守性。This paper mainly studies the stability issue of a class of linear network control systems.Firstly,the established network control system model is transformed into a time-varying delay system model.Secondly,a new extended Lyapunov-Krasovskii functional(LKF)is constructed,and a less conservative stability criterion is derived based on the negative definite theorem of quadratic function.Finally,two numerical examples are given to verify the validity of the criterion,which further demonstrates the feasibility and low conservatism of the proposed method.

关 键 词：网络控制系统 稳定性分析 LYAPUNOV-KRASOVSKII泛函 积分不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]