| 引用本文: | 郑连伟,黄守东,刘晓平.一类不确定线性时滞系统的输出反馈鲁棒H∞ 控制(英文)[J].控制理论与应用,2001,18(6):935~938.[点击复制] |
| ZHENG Lian-wei,HUANG Shou-dong,LIU Xiao-ping.Robust H∞ Output Feedback Control for a Class of Uncertain Linear Systems with Time-Delay[J].Control Theory and Technology,2001,18(6):935~938.[点击复制] |
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| 一类不确定线性时滞系统的输出反馈鲁棒H∞ 控制(英文) |
| Robust H∞ Output Feedback Control for a Class of Uncertain Linear Systems with Time-Delay |
| 摘要点击 1540 全文点击 1121 投稿时间：1999-12-03 修订日期：2001-03-05 |
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| DOI编号 10.7641/j.issn.1000-8152.2001.6.027 |
| 2001,18(6):935-938 |
| 中文关键词 时滞系统 H∞控制 输出反馈 不确定性 线性矩阵不等式 |
| 英文关键词 time delay systems H∞ control output feedback uncertainty linear matrix inequalities |
| 基金项目 |
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| 中文摘要 |
| 研究具有仿射参数不确定性的线性时滞系统的鲁棒H∞ 输出反馈控制器设计问题. 得到了一些二次矩阵不等式, 证明了如果它们有解, 则从它们的解可以构造全阶严格真动态输出反馈控制器, 它能保证闭环系统二次稳定且具有H∞ 范数意义下的干扰抑制能力. 进一步证明了在某些情况下, 这些二次矩阵不等式可以化为线性矩阵不等式来求解. |
| 英文摘要 |
| This paper considers the problem of robust H∞ output feedback controller design for linear time delay systems with polytopic uncertainty. A sufficient condition in terms of quadratic matrix inequalities is obtained, which guarantees the system is quadratically stabilizable with disturbance attenuation in the sense of H∞ norm via a strictly proper dynamic output feedback controller of full order. Such a controller can be constructed from the solutions of quadratic matrix inequalities. It is shown that in some cases the quadratic matrix inequalities can be solved by converting them into linear matrix inequalities with the same variables. |