| 引用本文: | 张先明,吴 敏,何 勇.线性时滞广义系统的时滞相关H∞控制[J].控制理论与应用,2005,22(4):649~652.[点击复制] |
| ZHANG Xian-ming, WU Min, HE Yong.Delay-dependent H-infinity control for linear descriptor systems with time-delay[J].Control Theory & Applications,2005,22(4):649~652.[点击复制] |
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| 线性时滞广义系统的时滞相关H∞控制 |
| Delay-dependent H-infinity control for linear descriptor systems with time-delay |
| 摘要点击 1761 全文点击 1308 投稿时间：2003-06-09 修订日期：2004-03-02 |
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| DOI编号 |
| 2005,22(4):649-652 |
| 中文关键词 广义系统 时滞相关 H∞性能 积分不等式 线性矩阵不等式 |
| 英文关键词 descriptor system delay-dependent H-infinity performance integral inequality linear matrix inequality(LMI) |
| 基金项目 教育部青年教师奖励计划资助项目(教人[2002]5号); 国家博士点基金资助项目(2000053303). |
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| 中文摘要 |
| 讨论线性时滞广义系统的时滞相关H∞控制.首先利用Park不等式建立了一个基于二次型项的积分不等式,然后利用Lyapunov-Krasovskii泛函方法,获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定,而且具有给定的H∞性能的,基于LMI的时滞相关充分条件.数值例子表明本文方法所得结论较已有文献具有较小的保守性. |
| 英文摘要 |
| The delay-dependent H-infinity control for the descriptor systems with time-delay is discussed.First,a new integral inequality for quadratic terms is established by using the Park inequality.Next,the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay dependent sufficient condition based on LMI which can guarantee that the closed-loop system is not only internal asymptotically stable but also with the prescribed H-infinity performance via the slow subsystem's memoryless state feedback.Finally,an example is given to illustrate that the derived results are of less conservativeness than the existing ones. |