| 引用本文: | 董心壮, 张庆灵.滞后广义系统的状态反馈H∞控制[J].控制理论与应用,2004,21(6):941~944.[点击复制] |
| DONG Xin-zhuang, ZHANG Qing-ling.State feedback H-infinity control of linear singular systems with time-delay[J].Control Theory and Technology,2004,21(6):941~944.[点击复制] |
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| 滞后广义系统的状态反馈H∞控制 |
| State feedback H-infinity control of linear singular systems with time-delay |
| 摘要点击 2405 全文点击 1710 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.6.022 |
| 2004,21(6):941-944 |
| 中文关键词 滞后广义系统 零解渐近稳定 H∞范数约束 状态反馈 线性矩阵不等式(LMI) |
| 英文关键词 singular systems with time-delay zero solution asymptotical stability H-infinity norm constraint state feedback linear matrix inequality(LMI) |
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| 中文摘要 |
| 研究了一类状态方程和输出方程均带有时滞的滞后广义系统的H∞控制问题.利用线性矩阵不等式,首先给出滞后广义系统零解渐近稳定且具有H∞范数约束的充分条件,进而分别设计无记忆和有记忆状态反馈控制律,保证闭环系统具有上述性能,同时基于线性矩阵不等式的解得到了相应控制器构造方法.最后给出一个数值算例说明文中结论的有效性. |
| 英文摘要 |
| The problem of H-infinity control for a class of singular systems with time-delay is considered.By means of linear matrix inequalities (LMIs),a sufficient condition is obtained for a singular system with time-delay to be zero solution asymptotically stable and satisfied the H-infinity norm constraint.Then the existence conditions of static memory-less and memorial state feedback control laws are presented,and the explicit expressions for such controllers are derived in terms of the solutions of LMIs.Finally,an illustrative example is given to demonstrate the effectiveness of the proposed method. |
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