| 引用本文: | 薛安克,蒋 楠,王建中.不确定系统鲁棒LQ设计的稳定裕度分析和工程应用研究[J].控制理论与应用,2003,20(4):596~598.[点击复制] |
| XUE An-ke,JIANG Nan,WANG Jiang-zhong.Robust stability margin analysis of LQ design for uncertain linear systems[J].Control Theory and Technology,2003,20(4):596~598.[点击复制] |
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| 不确定系统鲁棒LQ设计的稳定裕度分析和工程应用研究 |
| Robust stability margin analysis of LQ design for uncertain linear systems |
| 摘要点击 1728 全文点击 2225 投稿时间：2001-07-11 修订日期：2002-05-13 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.4.025 |
| 2003,20(4):596-598 |
| 中文关键词 不确定线性系统 最优控制 鲁棒稳定裕度 制浆造纸过程 |
| 英文关键词 uncertain linear system optimal control robust stability margin paper making process |
| 基金项目 国家自然科学基金(69874036, 60174029); 浙江省自然科学重点基金(ZD9905). |
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| 中文摘要 |
| 针对不确定线性系统, 研究鲁棒LQ设计的稳定裕度分析问题. 首先提出不确定系统α_0裕度稳定鲁棒界, 针对结构和非结构不确定系统, 分别给出了鲁棒LQ控制系统的鲁棒稳定裕度性分析方法, 进一步给出对结构不确定系统优化鲁棒界的算法. 最后是造纸打浆过程实例的鲁棒稳定裕度性分析以及相应仿真结果. |
| 英文摘要 |
| The problem of robust stability margin analysis of robust LQ design for uncertain linear systems was discussed. Based upon a modified'robust difference equality, a robust bound with a0 stability margin was presented. Then, robustness analysis approaches of robust LQ design for structured and unstructured uncertain systems were proposed respectively. For structured uncertain systems, an approach was presented to improve the robustness through selecting a proper parameter and weighting matrices. A design example of paper making process was given and corresponding simulation results were offered as well. |