引用本文:陈跃鹏, 周祖德, 曾春年, 张庆灵, 刘焕彬.利用状态反馈增益变化设计广义系统H∞可靠控制器[J].控制理论与应用,2007,24(3):427~430.[点击复制]
CHEN Yue-peng, ZHOU Zu-de, ZENG Chun-nian, ZHANG Qing-ling, LIU Huan-bin.State-feedback H-infinity reliable controller design for descriptor systems with controller gain variations[J].Control Theory and Technology,2007,24(3):427~430.[点击复制]
利用状态反馈增益变化设计广义系统H∞可靠控制器
State-feedback H-infinity reliable controller design for descriptor systems with controller gain variations
摘要点击 2041  全文点击 1548  投稿时间：2005-04-12  修订日期：2006-02-23
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DOI编号  10.7641/j.issn.1000-8152.2007.3.018
  2007,24(3):427-430
中文关键词  广义系统  执行器故障  增益变化  H∞可靠控制器  线性矩阵不等式(LMI)
英文关键词  descriptor system  actuator failure  gain variations  H-infinity reliable controller  LMI
基金项目  国家自然科学基金重点资助项目(50335020); 国家自然科学基金资助项目(60574011); 中国博士后基金资助项目(2005038553);湖北省教育厅科学基金重大项目基金资助项目(2002z04001); 国家自然科学基金重大国际合作资助项目(50620130441).
作者单位
陈跃鹏, 周祖德, 曾春年, 张庆灵, 刘焕彬 武汉理工大学自动化学院, 湖北武汉430070
武汉理工大学机电学院, 湖北武汉430070
东北大学系统所, 辽宁沈阳110004
黄冈师范学院数学系, 湖北黄冈438000) 
中文摘要
      通过对状态反馈两种增益变化形式的分析, 研究广义系统H∞可靠控制器的设计问题. 给出基于状态反馈增益变化的广义系统H∞可靠控制器的定义, 得到了执行器故障模型. 用线性矩阵不等式(LMI)方法, 研究两种状态反馈增益变化的广义系统H∞控制器存在的充分条件和设计方法. 进而, 针对执行器的不同故障情形, 用LMI方法给出广义系统存在基于状态反馈增益变化的H∞可靠控制器的充分条件. 最后, 给出了优化广义系统H∞可靠控制器的设计算法.
英文摘要
      By analyzing two kinds of state feedback gain variations forms, the H-infinity reliable controller design problem for descriptor systems is discussed in this paper. Firstly, the definition of H-infinity reliable controller based on state feedback gain variations for descriptor systems is given, and the failure models of actuators are also yielded. Using the approach of linear matrix inequalities (LMI), the sufficient conditions and the design method are then studied to show that there exist H-infinity controllers of two kind of state feedback gain variations forms for descriptor systems. Furthermore, aiming at the different actuator failures, the sufficient conditions that there exist H-infinity reliable controllers based on state feedback gain variations are obtained using LMI method. Finally, the optimal algorithm of design H-infinity reliable controller for descriptor systems is given.