• 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

基于LMI方法的线性不确定时滞系统鲁棒镇定

张友刚 罗志勇

张友刚, 罗志勇. 基于LMI方法的线性不确定时滞系统鲁棒镇定[J]. 西南交通大学学报, 2009, 22(5): 682-687.
引用本文: 张友刚, 罗志勇. 基于LMI方法的线性不确定时滞系统鲁棒镇定[J]. 西南交通大学学报, 2009, 22(5): 682-687.
ZHANG Yougang, LUO Zhiyong. LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 682-687.
Citation: ZHANG Yougang, LUO Zhiyong. LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 682-687.

基于LMI方法的线性不确定时滞系统鲁棒镇定

基金项目: 

中国博士后科学基金资助项目(20060390735)

重庆市自然科学基金资助项目(CSTC2007BB2447,KJ080514)

详细信息
    作者简介:

    张友刚(1974- ),男,副教授,博士,主要从事鲁棒控制、大系统理论、时滞系统分析与控制方面的研究,电话:13438073707,E-mail:zhangyougang1@163.com

LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay

  • 摘要: 考虑同时具有状态时滞和输入时滞的参数不确定线性时滞系统的鲁棒镇定问题,其参数不确定性满足范数有界条件,而状态时滞和输入时滞均为时变有界形式.鲁棒镇定控制器采用无记忆状态反馈形式,用线性矩阵不等式(LMI)方法,给出了在该控制器作用下闭环系统鲁棒指数稳定的LMI形式的充分条件.所给出的判据不要求时滞导数小于1,降低了以往文献中稳定性条件的保守性,既适合于快时变时滞系统,也适合于慢时变时滞系统.最后,通过数值算例验证了所给鲁棒稳定性条件的有效性.

     

  • 张继业,杨翊仁,曾京.一类时滞Hopfield神经网络系统的全局稳定性[J].西南交通大学学报,2001,36(5):522-525.ZHANG Jiye,YANG Yiren,ZENG Jing,Global stability of delayed hopfield neural network models[J].Journal of Southwest Jiaotong University,2001,36(5):522-525.[2] 苏宏业,蒋培刚,褚健.带饱和执行器的不确定时滞系统的鲁棒控制[J].自动化学报,2000,26(3):356-359.SU Hongye,JIANG Peigang,CHU Jian,Robust control for time-delay systems containing saturating actuators[J].Acta Automatica Sinica,2000,26(3):356-359.[3] FRIDMAN E,SHAKED U.Parameter dependent stability and stabilization of uncertain time-delay systems[J].IEEE Trans on Automatic Control,2003,48(5):861-866.[4] KHARITONOV V L,MELCHOR A,GUILAR D.On delay-dependent stability conditions for time-varying systems[J].Systems&Control Letters,2002,46(3):173-180.[5] KIM S,CAMPBELL S A,LIU Xinzhi,Stability of a class of linear switching systems with time delay[J].IEEE Trans.on Circuits and Systems,2006,53(2):384-393.[6] YANG Zhichun,XU Daoyi.Stability analysis and design of impulsive control systems with time delay[J].IEEE Trans on Automatic Control,2007,52(8):1448-1454.[7] FAZELINIA H,SIPAHI R,OLGAC N.Stability robustness analysis of multiple time-delayed systems using "Building Block" concept[J].IEEE Trans.on Automatic Control,2007,52(5):799-810.[8] YANG R,SHI P,GAO H.New delay-dependent stability criterion for stochastic systems with time delays[J].IET Control Theory Applications,2008,2(11):966-973.[9] 胥布工.一个新型充分必要指数稳定性定理[C] ∥第24届中国控制会议论文集.广州:华南理工大学出版社,2005:660-664.XU Bugong.A new-type necessary and sufficient exponential stability theorem[C] ∥Proceedings of 24th China Control Conference,Guangzhou:South China University of Press,2005:660-664.[10] XU Bugong.Stability criteria for linear systems with uncertain delays[J].Journal of Mathematical Analysis and Applications,2003,284(2):455-470.[11] 胥布工.一个新型充要指数稳定性定理及其初步应用[J].控制理论与应用,2006,23(1):7-13.XU Bugong.A new-type exponential necessary and sufficient stability theorem and its simple applications[J].Control Theory and Applications,2006,23(1):7-13.[12] XU Bugong.Applications of a new-type stability theorem[C] ∥Proceedings of the 6th World congress on Intelligent Control and Automation.Dalian:[s.n.],2006,1:569-573.[13] BOYD S.GHAOUI L,FERON E,et al,Linear matrix inequalities in systems and control theory[M].Philadelphia:SIAM,1994.[14] XIE Lihua.Output feedback H∞ control of systems with parameter uncertainties[J].Int.J Control,1996,64(3):741-750.[15] 程储旺,宋执环,孙优贤.不确定性时滞系统的鲁棒镇定控制器设计——LMI方法[J].控制理论与应用,1999,16(5):655-658.CHENG Chuwang,SONG Zhihuan,SUN Youxian.Designing of the robust stabilizing controller for uncertain delay systems-LMI approach[J].Control Theory and Applications,1999,16(5):655-658.
  • 加载中
计量
  • 文章访问数:  1398
  • HTML全文浏览量:  58
  • PDF下载量:  400
  • 被引次数: 0
出版历程
  • 收稿日期:  2008-01-12
  • 刊出日期:  2009-11-12

目录

    /

    返回文章
    返回