东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2003, Vol. 24 ›› Issue (2): 121-124.DOI: -

• 论著 • 上一篇    下一篇

基于线性矩阵不等式的广义系统H_2优化控制

杨冬梅;张庆灵;沙成满   

  1. 东北大学理学院;东北大学理学院;东北大学资源与土木工程学院 辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2003-02-15 发布日期:2013-06-23
  • 通讯作者: Yang, D.-M.
  • 作者简介:-
  • 基金资助:
    辽宁省教育科学基金资助项目 ( 99112 1118) ;;

H2 optimal control for descriptor systems based on LMI

Yang, Dong-Mei (1); Zhang, Qing-Ling (1); Sha, Cheng-Man (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Sch. of Resource and Civil Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-02-15 Published:2013-06-23
  • Contact: Yang, D.-M.
  • About author:-
  • Supported by:
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摘要： 研究了线性时不变连续广义系统的H2 优化控制问题 ,目的是寻找一个状态反馈控制器 ,不仅保证闭环系统是容许的 ,而且使闭环系统达到H2 次优性能 ,即闭环传递函数的H2 范数小于一个给定的正数γ·利用线性矩阵不等式 (LMI)方法得到该系统的H2 范数界的一个充分条件 ,并给出了一个H2 次优控制器的设计·数值例子进一步说明了设计方法·

关键词: 广义系统, H2范数, H2控制, 优化控制, 线性矩阵不等式

Abstract: The H2 optimal control for linear time-invariant continuous-time descriptor systems was studied. A state feedback controller was designed. The resulting closed-loop system is admissible and satisfies the H2 suboptimal performance, so that the H2 norm of the closed-loop system is smaller than a given positive number. A sufficient condition that the H2 norm is bounded was presented, and a H2 suboptimal controller was designed by the method of LMI(linear matrix inequality). A numerical example was given to illustrate the design approach.

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