| 引用本文: | 毛维杰,张媛媛.线性区间离散时滞系统的区域镇定[J].控制理论与应用,2009,26(3):261~264.[点击复制] |
| MAO Wei-jie,ZHANG Yuan-yuan.D-stabilizing controller design for linear interval discrete time-delay systems[J].Control Theory and Technology,2009,26(3):261~264.[点击复制] |
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| 线性区间离散时滞系统的区域镇定 |
| D-stabilizing controller design for linear interval discrete time-delay systems |
| 摘要点击 1836 全文点击 992 投稿时间：2007-03-26 修订日期：2008-09-09 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.3.006 |
| 2009,26(3):261-264 |
| 中文关键词 线性离散系统 区间矩阵 时滞 区域镇定 线性矩阵不等式(LMI) |
| 英文关键词 linear discrete system interval matrix time-delay D-stabilizability linear matrix inequality(LMI) |
| 基金项目 国家自然科学基金资助项目(60721062); 国家973计划资助项目(2006CB705400). |
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| 中文摘要 |
| 针对线性离散时滞系统的区域镇定问题, 基于非奇异状态变换技术提出了区间不确定性系统区域可镇定的充分条件, 保证闭环系统的所有极点均位于给定的圆盘区域内. 所给条件可简化为LMI描述形式, 利用LMI工具求解非常方便. 所给实例表明了该方法用于判断线性区间离散时滞系统的区域可镇定性与设计区域镇定控制器的可行性. |
| 英文摘要 |
| The D-stabilizing problem of linear discrete time-delay systems is addressed. Based on the nonsingular state transformation, a sufficient condition of D-stabilizability is derived for interval systems. This condition guarantees all poles of the resulting closed-loop system to be placed in a specified circular region. The result can be reduced to the form of LMIs; the solution of which can be obtained by using the LMI toolbox. An illustrative example shows that the proposed method can be used to check the D-stabilizability and to design the D-stabilizing controller for linear interval discrete time-delay systems. |