东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2013, Vol. 34 ›› Issue (4): 461-464.DOI: -

• 信息与控制 • 上一篇    下一篇

广义系统动态输出反馈H∞优化控制

杨冬梅，徐文明，崔磊   

  1. (东北大学理学院，辽宁沈阳110819)
  • 收稿日期:2012-10-23 修回日期:2012-10-23 出版日期:2013-04-15 发布日期:2013-06-19
  • 通讯作者: 杨冬梅
  • 作者简介:杨冬梅(1966-)，女，辽宁沈阳人，东北大学教授.
  • 基金资助:
    辽宁省自然科学基金资助项目(2010058).

H∞ Optimal Control by Output Feedback for Singular Systems

YANG Dongmei， XU Wenming， CUI Lei   

  1. School of Sciences， Northeastern University， Shenyang 110819， China.
  • Received:2012-10-23 Revised:2012-10-23 Online:2013-04-15 Published:2013-06-19
  • Contact: YANG Dongmei
  • About author:-
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摘要： 基于LMI方法，针对广义系统标准控制模型，研究了动态输出反馈H∞优化控制.利用ETX=XTE的通解，对不等式中的矩阵进行数次合同变换及变量代换，给出了其控制器存在的充要条件，并进一步给出了控制器的设计方法.最后给出了数值算例，进一步说明了该方法的有效性.

关键词: 广义系统, 动态输出反馈, H∞优化控制, 线性矩阵不等式(LMI), 合同变换, 舒尔补(Schur)

Abstract: Based on the method of LMI， H∞ optimal control by dynamic output feedback was studied for the standard control model of the generalized system. The general solution of ETX=XTE was used for several congruent transformations and variable substitutions of the matrix in the inequality. Then the necessary and sufficient condition for the presence of the controller was given. What’s more， the design method was given for the controller. Finally， a corresponding numerical example was presented to illustrate the effectiveness of the proposed method.

Key words: descriptor systems, dynamic output feedback, H∞ optimal control, linear matrix inequality (LMI), congruent transformation, Schurcomplement

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