线性时滞系统的时滞相关稳定性分析  

DELAY-DEPENDENT STABILITY ANALYSIS FOR LINEAR TIME DELAY SYSTEM

作　　者：郑敏[1] 费敏锐[1] 费树岷[2] 

机构地区：[1]上海大学机电工程与自动化学院,上海200072 [2]东南大学自动化学院,南京210096

出　　处：《系统科学与数学》2009年第4期562-566,共5页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(60574006,60834002)资助课题.

摘　　要：对于存在状态时滞的线性时滞系统,分为固定时滞及时变时滞两种情形,基于Lyapunov-Krasovskii理论分析稳定性,通过时滞划分,得到以LMI形式给出的一种保守性小的渐近稳定性条件,且能够处理任意变化的变时滞问题.实例表明只需粗略划分就能大大提高保守性能,为了兼顾计算负担,r取较小数值即可.并且LMI中的决策变量少,形式简洁.This paper is concerned with the stability of linear time delay systems. Both constant delay and time-varying delay cases are considered. The criteria of stability is derived by using the Lyapunov-Krasovskii theory and is formulated as feasibility problems of Linear Matrix Equalities. Numerical examples show that the performance will be improved notably even by coarse fractioning.

关 键 词：固定时滞及时变时滞 时滞系统 线性矩阵不等式 时滞依赖条件. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]