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]
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 1726  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).
作者单位E-mail
薛安克 杭州电子工业学院 智能信息与控制技术研究所, 浙江 杭州 310037 akxue@hziee.edu.cn 
蒋 楠 杭州电子工业学院 智能信息与控制技术研究所, 浙江 杭州 310037  
王建中 杭州电子工业学院 智能信息与控制技术研究所, 浙江 杭州 310037  
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.