引用本文:熊建栋,黄琼,伍俊.切换正系统的渐近稳定性、L1增益及时变H∞控制[J].控制理论与应用,2019,36(10):1615~1621.[点击复制]
XIONG Jian-dong,HUANG Qiong,WU Jun.Asymptotic stability, L1 gain and time-varying H∞ control of switched positive systems[J].Control Theory and Technology,2019,36(10):1615~1621.[点击复制]
切换正系统的渐近稳定性、L1增益及时变H∞控制
Asymptotic stability, L1 gain and time-varying H∞ control of switched positive systems
摘要点击 2229  全文点击 1074  投稿时间：2018-06-05  修订日期：2019-02-09
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DOI编号  10.7641/CTA.2019.80416
  2019,36(10):1615-1621
中文关键词  渐近稳定性  驻留时间  余正Lyapunov泛函  L1增益
英文关键词  asymptotic stability  dwell time  copositive Lyapunov functional  L1 gains
基金项目  国家自然科学基金,省科技攻关基金,高校基金
作者单位E-mail
熊建栋* 河南师范大学 数学与信息科学学院 xiongjiandong5@163.com 
黄琼 河南师范大学 数学与信息科学学院  
伍俊 佛山科学技术学院 自动化学院  
中文摘要
      本文针对带有驻留时间约束的离散时间切换线性正系统, 提出了依赖驻留时间的时变分段线性余正Lyapunov 泛函方法, 得到确保系统渐近稳定的充分条件. 另外, 将此方法推广到离散切换正系统的L1 增益性分析中,得到系统具有未加权的γ-L1增益的充分条件. 进一步,对离散切换正系统设计一个时变H∞反馈控制, 使闭环系统具有最小γ-L1增益. 最后给出一个数值算例验证文中的结论.
英文摘要
      A time-varying piecewise linear copositive Lyapunov functional method is proposed for discrete time switched linear positive systems with dwell time, and a sufficient condition is established to ensure the asymptotic sta- bility of the system. In addition, the method is used to analysis L1 gain of discrete time switched linear positive systems, a sufficient condition ensuring the unweighted γ-L1gain of the system is derived. Further, a time-varying H∞ feedbackcontrol is designed for the system, which keeps the closed-loop system having a minimum γ-L1gain. Finally, a numerical example is given to verify the conclusions.