| 不确定广义双线性系统的鲁棒镇定 |
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| 引用本文： | 兰奇逊,梁家荣,高许岗.不确定广义双线性系统的鲁棒镇定[J].自动化学报,2008,34(6):707-710. |
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| 作者姓名： | 兰奇逊 梁家荣 高许岗 |
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| 作者单位： | 1.广西大学数学与信息科学学院 南宁 530004 |
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| 基金项目： | 国家自然科学基金
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教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 针对带有不确定参数的广义双线性系统的鲁棒镇定问题进行研究, 其中不确定参数是时变且范数有界的. 本文的目的是设计状态反馈控制器, 使得对所有满足条件的不确定参数闭环系统都是渐近稳定的. 通过引入广义二次稳定的概念、采用Lyapunov方法, 分别给出了不确定广义双线性系统在两种不同情形下可镇定的充分条件; 此外, 两个数值例子分别说明了两种设计方法的有效性和合理性.
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| 关 键 词： | 广义双线性系统 不确定性 鲁棒镇定 二次稳定性 渐近稳定性 |
| 收稿时间： | 2007-1-30 |
| 修稿时间： | 2007年1月30日 |
Robust Stabilization for Singular Bilinear Systems with Uncertainty |
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| LAN Qi-Xun,LIANG Jia-Rong,GAO Xu-Gang.Robust Stabilization for Singular Bilinear Systems with Uncertainty[J].Acta Automatica Sinica,2008,34(6):707-710. |
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| Authors: | LAN Qi-Xun LIANG Jia-Rong GAO Xu-Gang |
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| Affiliation: | 1.School of Mathematics and Information Science, Guangxi University, Nanning 530004;2.Pingdingshan Institute of Technology, Pingdingshan 467001;3.School of Computer and Electronic Information, Guangxi University, Nanning 530004;4.School of Electronic Engineering &Optoelectronic Technology, Nanjing University of Science and Technology, Nanjing 210094 |
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| Abstract: | The problem of robust stabilization for uncer- tain singular bilinear systems(SBS)with norm-bounded time- varying uncertainties is studied.The purpose of this paper is to design a state feedback controller such that the closed-loop sys- tem is asymptotically stable for all admissible uncertainties.The sufficient conditions of stabilization for SBS with uncertainties in two different conditions are presented respectively via the notion of generated quadratic stability and Lyapunov method.Further- more,effectiveness and rationality of the two design methods are illustrated by two numerical examples respectively. |
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| Keywords: | Singular bilinear systems uncertainty robust stabilization quadratic stability asymptotically stability |
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