| 引用本文: | 毛维杰.离散区间系统的二次稳定性及其稳定裕度分析[J].控制理论与应用,2004,21(4):591~594.[点击复制] |
| MAO Wei-jie.Quadratic stability and stability margin analysisof discrete interval systems[J].Control Theory and Technology,2004,21(4):591~594.[点击复制] |
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| 离散区间系统的二次稳定性及其稳定裕度分析 |
| Quadratic stability and stability margin analysisof discrete interval systems |
| 摘要点击 1663 全文点击 1557 投稿时间：2002-11-11 修订日期：2003-08-18 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.4.021 |
| 2004,21(4):591-594 |
| 中文关键词 离散区间系统 二次稳定性 稳定裕度 线性矩阵不等式 |
| 英文关键词 discrete interval systems quadratic stability stability margin linear matrix inequality |
| 基金项目 国家自然科学基金项目(60004002); 浙江省自然科学基金项目(602055). |
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| 中文摘要 |
| 研究了动态离散区间系统的鲁棒稳定性问题,提出了系统二次稳定的充分与必要条件,以及相应的稳定裕度的计算方法,并推广到离散参数不确定系统.所有结论以线性矩阵不等式(LMI)的形式给出.利用功能强大的LMI工具,求解非常方便.所给实例表明,该方法用于确定动态离散区间系统的鲁棒稳定性及其稳定裕度,非常有效. |
| 英文摘要 |
| The robust stability problem of dynamic discrete interval systems is considered.A necessary and sufficient condition for the quadratic stability and a related calculation method of stability margin are proposed.This condition is also extended to the quadratic stability of linear systems with uncertain parameters.All of the results are obtained in terms of LMIs. With the powerful LMI toolbox,it is very convenient to solve these problems.The illustrative examples show that this method is effective to determine the robust stability and related stability margin of dynamic discrete interval systems. |