| 时变时滞不确定控制系统二次镇定研究 |
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| 引用本文： | 刘继清,黄金花.时变时滞不确定控制系统二次镇定研究[J].华中科技大学学报(自然科学版),2011(4):94-96,105. |
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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子电气工程系; |
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| 基金项目： | 国家自然科学基金资助项目(60974012) |
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| 摘 要： | 研究了一类时变时滞不确定控制系统的鲁棒镇定性.该系统的不确定参数是时变未知但范数有界的.利用线性矩阵不等式和二次李雅普诺夫-克拉索夫斯基泛函,获得了具有任意有界时变时滞控制系统稳定的一些充分条件,并设计了状态反馈控制器,使相应闭环系统是鲁棒稳定的.最后,通过一个数值算例说明了所获得结果的有效性.
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| 关 键 词： | 不确定参数 时滞控制系统 李雅普诺夫稳定性 线性矩阵不等式 状态反馈 镇定 |
Quadratic stabilization of uncertain control systems with time-varying delays |
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| Liu Jiqing Huang Jinhua.Quadratic stabilization of uncertain control systems with time-varying delays[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2011(4):94-96,105. |
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| Authors: | Liu Jiqing Huang Jinhua |
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| Institution: | Liu Jiqing Huang Jinhua(Department of Electric and Electronic Engineering,Wuhan Institute of Shipbuilding Technology,Wuhan 430050,China) |
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| Abstract: | The stabilization of a class of uncertain control systems with time-varying delays was studied.Such an uncertain control system with time-varying delays was described by time-varying unknown-but-bounded uncertain parameters.By using the linear matrix inequalities and the quadratic Lyapunov-Krasovskii functional,some stability criterions were derived to ensure that the system was stable.Based on these criterions,the problem was solved via state feedback controller,guaranteeing the resultant closed-loop syste... |
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| Keywords: | uncertain parameter delay control systems Lyapunov stability linear matrix inequalities(LMI) state feedback stabilization |
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