| 不确定线性多时变时滞系统的时滞相关鲁棒控制 |
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| 引用本文： | 张先明,吴 敏,何 勇.不确定线性多时变时滞系统的时滞相关鲁棒控制[J].控制与决策,2004,19(5):496-500. |
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| 作者姓名： | 张先明 吴 敏 何 勇 |
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| 作者单位： | 中南大学,信息科学与工程学院,湖南,长沙,410083 |
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| 基金项目： | 教育部博士点基金资助项目 (2 0 0 0 0 5 330 3)，教育部青年教师奖励计划资助项目 (教人 [2 0 0 2 ]5号 ) . |
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| 摘 要： | 提出一种积分不等式新方法，讨论不确定线性多时变时滞系统的鲁棒稳定性以及鲁棒稳定化问题，首先利用Park不等式建立了基于二次型项的积分不等式，利用这一不等式获得了系统基于LMI的时滞相关、时滞导数相关鲁棒稳定条件；然后利用这一条件给出了时滞状态反馈控制器的一种新的设计方法，数值例子说明了所得结论具有较小的保守性。
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| 关 键 词： | 时滞相关 鲁棒稳定性 鲁棒稳定化 时滞状态反琦 LMI |
| 文章编号： | 1001-0920(2004)05-0496-05 |
| 修稿时间： | 2003年5月19日 |
Delay dependent robust control for linear systems with multiple time-varying delays and uncertainties |
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| ZHANG Xian-ming,WU Min,HE Yong.Delay dependent robust control for linear systems with multiple time-varying delays and uncertainties[J].Control and Decision,2004,19(5):496-500. |
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| Authors: | ZHANG Xian-ming WU Min HE Yong |
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| Abstract: | A new method called integral inequality method(IIM) is proposed to study the delay-dependent robust stability and stabilization for linear systems with multiple time-varying delays and norm-bounded uncertainties. First, an integral inequality for quadratic terms is established by using the Park inequality. Secondly, a new robust criterion of delay and its derivation dependent for determining the stability of systems with time-varying delays is obtained. This criterion is used to design an efficient stabilizing delayed state-feedback controller for systems with norm-bounded uncertainties. Finally, examples illustrate that the new results are of less conservative than that of the present literatures. |
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| Keywords: | delay-dependent robust stability robust stabilization state-feedback with delay linear matrix inequality |
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