引用本文: | 陈 宁,桂卫华,翟贵生.不确定多通道奇异时滞系统分散H∞控制[J].控制理论与应用,2009,26(6):669~672.[点击复制] |
CHEN Ning,GUI Wei-hua,ZHAI Gui-sheng.Decentralized H-infinity control for multi-channel uncertain descriptor systems with time-delay[J].Control Theory and Technology,2009,26(6):669~672.[点击复制] |
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不确定多通道奇异时滞系统分散H∞控制 |
Decentralized H-infinity control for multi-channel uncertain descriptor systems with time-delay |
摘要点击 1559 全文点击 1024 投稿时间:2007-09-26 修订日期:2009-01-04 |
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DOI编号 10.7641/j.issn.1000-8152.2009.6.017 |
2009,26(6):669-672 |
中文关键词 多通道奇异系统 分散H∞控制 时滞 不确定性 线性矩阵不等式 |
英文关键词 multi-channel descriptor system decentralized H-infinity control time-delay uncertainty linear matrix inequality |
基金项目 国家自然科学重点基金项目(60634020); 湖南省自然科学基金资助项目(07JJ6138); 中国博士后科学基金资助项目(20060390883);高校博士点专项科研基金资助项目(20070533132). |
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中文摘要 |
针对不确定多通道奇异时滞大系统, 研究其分散鲁棒H∞控制问题. 假定不确定性是时不变、范数有界. 基于奇异系统Lyapunov稳定性理论, 通过设定Lyapunov-Krasovskii矩阵为合适的块对角结构, 推导出了使不确定多通道奇异时滞大系统可鲁棒镇定, 且满足一定的扰动水平的充分条件即一组线性矩阵不等式(LMIs)有可行解. 给出了具有期望阶数的分散输出反馈H∞控制器的设计方法. |
英文摘要 |
A robust decentralized H-infinity control is studied for uncertain multi-channel descriptor systems with timedelay. The uncertainties are assumed to be time-invariant, norm-bounded. A sufficient condition for the uncertain multichannel descriptor time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory in which the Lyapunov-Krasovskii matrix is set to a block diagonal form with compatible order to the controller. This condition is in terms of linear matrix inequalities(LMIs) with a feasible solution. The design of the decentralized H-infinity control with desired order and output feedback is given. |