• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus 收录
  • 全国中文核心期刊
  • 中国科技论文统计源期刊
  • 中国科学引文数据库来源期刊

区间中立型系统时滞依赖鲁棒稳定性的LMI方法

杨瑞 黄天民

杨瑞, 黄天民. 区间中立型系统时滞依赖鲁棒稳定性的LMI方法[J]. 西南交通大学学报, 2008, 21(2): 232-237.
引用本文: 杨瑞, 黄天民. 区间中立型系统时滞依赖鲁棒稳定性的LMI方法[J]. 西南交通大学学报, 2008, 21(2): 232-237.
YANG Rui, HUANG Tianmin. LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 232-237.
Citation: YANG Rui, HUANG Tianmin. LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 232-237.

区间中立型系统时滞依赖鲁棒稳定性的LMI方法

基金项目: 

国家自然科学基金资助项目(60474022)

教育部博士点专项基金资助项目(20060613007)

详细信息
    作者简介:

    杨瑞(1980- ),女,博士研究生,研究方向为鲁棒控制,不确定时滞系统,广义系统等,E-mail:yrhappy2004@126.com

    通讯作者:

    黄天民(1958- ),男,教授,博士,主要研究方向为模糊控制、智能控制及非线性控制,E-mail:tmhuang@home.swjtu.edu.cn

LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems

  • 摘要: 为了解决现有方法计算困难的问题,将LMI方法用于一类区间中立型系统的鲁棒稳定性分析.定义了一个新的Lyapunov-Krasovskii泛函,引入自由权矩阵表示Leibniz-Newton公式中各项相互关系,得到了线性矩阵不等式(LMIs)形式的时滞依赖鲁棒稳定判据.该判据将区间中立型系统的鲁棒稳定性问题转化为一类LMIs的可解问题.算例表明,所得结果提高了数值的边界,具有更小的保守性.

     

  • HAN Qinglong.Robust stability of uncertain delay-differential systems of neutral type[J].Automatic.a,2002,38:719-723.[2] FRIDMAN E.New Lyapunov-Krasovskii functional for stability of linear retarded and neutral systems[J].Syst.Control Lett.,2001,43:309-319.[3] 石胜利,杨军,华长春,等.时滞依赖型中立系统的鲁棒稳定性分析[J].纯粹数学与应用数学,2007,23(2):243-249.SHI Shengli,YANG Jun,HUA Changchun,et al.Delay-dependent robust stability of neutral systems[J].Pure and Applied Mathematics,2007,23(2):243-249.[4] CHEN Wuhua,ZHENG Weixing.Delay-dependent robust stabilization for uncertain neutral systems with distributed delays[J].Automatics,2007,43:95-104.[5] HE Yong,WU Min,SHE Jinhua,et al.Delay-dependent robust stability criteria for uncertain neutral systems with delays[J].Syst.Control Lett.,2004,51:57-65.[6] HE Yong,WANG Qingguo,LIN Chong,et al.Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems[J].Int.J.Robust Nonlinear Control,2005,15:923-933.[7] LIU Xinge,WU Min,MARTIN R,et al.Stability analysis for neutral systems with mixed delays[J].Journal of Computational and Applied Mathematics,2007,202:478-497.[8] 史玉英,吴保卫.不确定中立型时滞系统的鲁棒稳定性[J].云南师范大学学报,2007,27(2):1-5.SHI Yuying,WU Baowei.Robust stability of uncertain neutral system with time delays[J].Journal of Yunnan Normal University,2007,27 (2):1-5.[9] PARLAKCI M N A.Robust stability of uncertain neutral systems:a novel augmented Lyapunov functional approach[J].IET Control Theory Appl.,2007,1 (3):802-808.[10] PARK J H.Novel robust stability criterion for a class of neutral systems with mixed delays and nonlinear perturbations[J].Applied Mathematics and Computation,2005:413-421.[11] PARK P.A delay-dependent stability criterion for systems with uncertain time-invariant delays[J].IEEE Tran.Auto.Control,1999,44(4):876-877.[12] MOON Y S,PARK P,KWON W H,et al.Delay-dependent robust stability of uncertain state-delayed systems[J].International Journal of Control,2001,74(14):1447-1455.[13] PARK J H.Simple criterion for asymptotic stability of interval neutral delay-differential systems[J].Applied Mathematics letters,2003,16:1 063-1 068.[14] YAN Junjuh,HUNG Meeiling,LIAO Tehlu.An EP algorithm for stability analysis of interval neutral delay-differential systems[J].Expert Systems with Applications,2008,34:920-924.[15] 吴方向,史忠科,戴冠中.动态区间系统的鲁棒稳定性[J].控制理论与应用,2001,18(1):113-115.WU Fangxiang,SHI Zhongke,DAI Guanzhong.On robust stability of dynamic interval systems[J].Control Theory and Applications,2001,18(1):113-115.[16] GU K,KHARITONOV V L,CHEN J.Stability of time-delay systems[M].Basel.Bikhanser,2003.[17] PETERSON I R.A stabilization algorithm for a class of uncertain linear systems[J].Syst.Control Lett.,1987,8:351-357.[18] BOYD S,GHAOUI L E,BALAKRISHNAN V.Linear matrix inequalities in system and control theory[M].Philadelphia:SIAM,1994.[19] PARK J H,WON S.A note on stability of neutral delay-differential systems[J].Journal of Franklin Institute,1999,336:543-548.
  • 加载中
计量
  • 文章访问数:  1486
  • HTML全文浏览量:  75
  • PDF下载量:  466
  • 被引次数: 0
出版历程
  • 收稿日期:  2007-12-23
  • 刊出日期:  2008-04-25

目录

    /

    返回文章
    返回