| 引用本文: | 王 武, 杨富文.不确定时滞系统的时滞依赖鲁棒非脆弱H∞控制[J].控制理论与应用,2003,20(3):473~476.[点击复制] |
| WANG Wu, YANG Fu-wen.Delay-dependent robust and non-fragile H-infinity, control for linear time-delay systems with uncertainties[J].Control Theory and Technology,2003,20(3):473~476.[点击复制] |
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| 不确定时滞系统的时滞依赖鲁棒非脆弱H∞控制 |
| Delay-dependent robust and non-fragile H-infinity, control for linear time-delay systems with uncertainties |
| 摘要点击 1470 全文点击 1551 投稿时间：2000-11-13 修订日期：2002-06-26 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.3.034 |
| 2003,20(3):473-476 |
| 中文关键词 非脆弱控制 鲁棒H∞状态反馈 时滞 不确定系统 LMI方法 |
| 英文关键词 non-fragile control robust H-infinity state feedback time-delay uncertain systems LMI approach |
| 基金项目 国家自然科学基金(69974010); 教育部高等学校骨干教师资助计划(DQ2000-14); 福建省自然科学基金(P97009). |
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| 中文摘要 |
| 基于线性矩阵不等式(LMI)方法, 研究了不确定时滞线性系统的鲁棒非脆弱H∞状态反馈控制器的设计问题, 以一个LMI形式给出了控制器存在的充分条件, 而且该LMI是与时滞相关的. 同时, 经过全等变换、变量变换和Schur补引理, 该LMI的所有参数都是线性的, 这样参数无需预取就可以利用LMI Toolbox获得解. 实例表明了上述设计方法的有效性. |
| 英文摘要 |
| The problem of robust and non-fragile H-infinity control is addressed via state feedback for linear time-delay systems with norm-bounded parameter uncertainties based on a method of linear matrix inequality (LMI). The sufficient condition for the solutions to the problem is presented in terms of one LMI, which depends on the size of delay. Also, through congruence transformations, change of variables and Schur complements, all parameters of the LMI are linear. The solutions can be readily obtained using existing LMI Toolbox without pre-selecting any parameter. A numerical example is provided to demonstrate the validity of the proposed design approach. |