| 基于LMI的不确定时滞非线性系统鲁棒镇定研究 |
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| 引用本文： | 刘继清,黄金花.基于LMI的不确定时滞非线性系统鲁棒镇定研究[J].南京气象学院学报,2012,4(1):29-33. |
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| 作者姓名： | 刘继清 黄金花 |
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| 作者单位： | 武汉船舶职业技术学院电气与电子工程系, 武汉, 430050;武汉船舶职业技术学院电气与电子工程系, 武汉, 430050 |
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| 基金项目： | 国家自然科学基金(60974012) |
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| 摘 要： | 研究了一类不确定时滞非线性系统的鲁棒镇定问题.不确定参数是时变未知有界的,但不一定满足所谓的匹配条件.利用线性矩阵不等式,一些充分条件被获得,保证了相应闭环系统的鲁棒稳定性,并在此基础上得出了相应的状态反馈控制器.最后,通过一个数值例子说明了该方法的有效性.
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| 关 键 词： | 状态反馈 镇定 不确定非线性系统 线性矩阵不等式 |
| 收稿时间： | 2011/11/22 0:00:00 |
Robust stabilization for uncertain nonlinear systems with delay based on linear matrix inequality |
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| LIU Jiqing and HUANG Jinhua.Robust stabilization for uncertain nonlinear systems with delay based on linear matrix inequality[J].Journal of Nanjing Institute of Meteorology,2012,4(1):29-33. |
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| Authors: | LIU Jiqing and HUANG Jinhua |
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| Institution: | Department of Electric and Electronic Engineering, Wuhan Institute of Shipbuilding Technology, Wuhan 430050;Department of Electric and Electronic Engineering, Wuhan Institute of Shipbuilding Technology, Wuhan 430050 |
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| Abstract: | This paper presents the stabilization of a class of uncertain nonlinear systems with delays.The uncertainty is bounded and may not satisfy the so-called matching conditions.Some sufficient conditions are derived to guarantee the resultant closed-loop system to be robustly stable.Those conditions are expressed as the solvability problem of linear matrix inequalities.Based on these criteria,the problem is solved via state feedback controller.Finally,a numerical example is given to illustrate the effectiveness of the proposed method. |
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| Keywords: | state feedback stabilization uncertain nonlinear system linear matrix inequality(LMI) |
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