| 具有多状态和控制时滞的控制系统的绝对稳定性分析 |
| |
| 引用本文： | 徐炳吉,廖晓昕,刘新芝.具有多状态和控制时滞的控制系统的绝对稳定性分析[J].控制理论与应用,2002,19(6):927-931. |
| |
| 作者姓名： | 徐炳吉 廖晓昕 刘新芝 |
| |
| 作者单位： | 1. 华中科技大学控制科学与工程系,武汉,430074
2. 华中科技大学控制科学与工程系,武汉,430074;滑铁卢大学应用数学系,加拿大滑铁卢 |
| |
| 基金项目： | 国家自然科学基金(60074008); 高校博士点基金(20010487005)资助项目. |
| |
| 摘 要： | 基于线性矩阵不等式方法, 对具有多个状态和控制的时变时滞的Lurie型控制系统的稳定性进行分析, 得到了系统绝对稳定的几个充分条件, 这些条件用线性矩阵不等式表示, 具有较低的保守性. 最后通过一个实例验证了所得条件的保守性较以往结果的保守性小.
|
| 关 键 词： | 时滞 绝对稳定性 线性矩阵不等式 |
| 文章编号： | 1000-8152(2002)06-0927-05 |
| 收稿时间： | 2001/3/19 0:00:00 |
| 修稿时间： | 1/9/2002 12:00:00 AM |
Absolute stability analysis for control systems with multiple time-varying delays in both state and control input |
| |
| XU Bing-ji,.Absolute stability analysis for control systems with multiple time-varying delays in both state and control input[J].Control Theory & Applications,2002,19(6):927-931. |
| |
| Authors: | XU Bing-ji |
| |
| Affiliation: | Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074,China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074,China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074,China; Deptartment of Applied Mathematics, University of Waterloo, Waterloo, Canada |
| |
| Abstract: | Based on the linear matrix inequality (LMI) approach, this paper analyzes the absolute stability of Lurie type control systems with multiple time-varying delays in both state and control input. Several sufficient conditions for the absolute stability of such systems are obtained. The derived sufficient conditions are expressed in terms of LMI to find the less conservative criteria. Finally, a numerical example is given to demonstrate that the derived conditions are less conservative than that \{given\} in the literature. |
| |
| Keywords: | time delay absolute stability linear matrix inequality (LMI) |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《控制理论与应用》浏览原始摘要信息 |
|
点击此处可从《控制理论与应用》下载全文 |
|
