| 引用本文: | 吴 敏,张先明,佘锦华.线性时滞系统的时滞相关鲁棒控制[J].控制理论与应用,2005,22(4):619~622.[点击复制] |
| WU Min, ZHANG Xian-ming, SHE Jin-hua.Delay-dependent robust control for linear time-delay uncertain systems[J].Control Theory and Technology,2005,22(4):619~622.[点击复制] |
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| 线性时滞系统的时滞相关鲁棒控制 |
| Delay-dependent robust control for linear time-delay uncertain systems |
| 摘要点击 1733 全文点击 1203 投稿时间：2004-03-05 修订日期：2004-11-01 |
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| DOI编号 10.7641/j.issn.1000-8152.2005.4.020 |
| 2005,22(4):619-622 |
| 中文关键词 输入时滞 状态时滞 时滞相关 鲁棒控制 线性矩阵不等式 |
| 英文关键词 input delay state delay delay-dependent robust control linear matrix inequality(LMI) |
| 基金项目 国家杰出青年基金资助项目(60425310); 教育部青年教师奖计划资助项目(教人[2002]5号). |
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| 中文摘要 |
| 讨论了同时具有输入时滞与状态时滞的线性系统的时滞相关鲁棒控制问题.将矩阵分解思想应用于线性时滞系统的控制综合,借助于积分不等式,利用Lyapunov-Krasovskii泛函方法,得到了系统经无记忆状态反馈后可镇定的、基于LMI的时滞相关条件.既不要对原系统进行模型变换,也不要对交叉项进行界定.最后的实例说明了本文方法的有效性. |
| 英文摘要 |
| The delay-dependent robust control for uncertain systems with both state and input delays is discussed.By introducing the matrix decomposition idea into the synthesis problem,incorporating with the integral inequality and Lyapunov-Krasovskii functional method,a new delay-dependent condition based on linear matrix inequality is obtained which guarantees that the system is asymptotically stable via memoryless controller.Neither the model transformation nor the bounding cross-terms is employed.Some numerical examples demonstrate that the proposed method is efficient. |