时变时滞Lurie非线性系统绝对稳定新判据  

New absolute stability criteria for Lurie nonlinear systems with time-varying delay

作　　者：曾红兵[1,2] 何勇[1] 吴敏[1] 冯智勇[1] 

机构地区：[1]中南大学信息科学与工程学院,长沙410083 [2]湖南工业大学电气与信息工程学院,湖南株洲412008

出　　处：《控制与决策》2010年第3期346-350,共5页Control and Decision

基　　金：国家博士点基金项目(200805330004);国家杰出青年科学基金项目(60425310);湖南省杰出青年科学基金项目(08JJ1010);教育部新世纪优秀人才支持计划项目(NCET-06-0679)

摘　　要：针对时变时滞Lurie非线性系统,应用增广Lyapunov-Krasovskii泛函结合自由权矩阵方法,研究其时滞相关绝对稳定性问题.通过保留Lyapunov-Krasovskii泛函导数中常被忽略的有用信息,充分考虑时变时滞、时滞上界及它们的差三者之间的关系,得到了具有更低保守性的基于线性矩阵不等式的时滞相关绝对稳定条件.数值实例表明,该方法得出的结果优于已有文献的结果.The problem of absolute stability of Lurie nonlinear systems with time-varying delay is investigated by employing an augmented Lyapunov-Krasovskii functional and a free-weighting matrix approach. Some useful terms are retained,which are used to be ignored in the derivative of Lyapunov-Krasovskii functional. Furthermore,the relationship among the time-varying delay,its upper bound and their difference is taken adequately into account. As a result,some less conservative delay-dependent stability conditions are obtained in terms of linear matrix inequalities （LMIs）. A numerical example shows that the results obtained are better than the existing ones.

关 键 词：时变时滞Lurie系统 绝对稳定 自由权矩阵 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]