| 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] |
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| 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 2747 全文点击 1249 投稿时间：2018-06-05 修订日期：2019-02-09 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| 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 |
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| 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. |
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