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 (1): 42-45.DOI: -

• 论著 • 上一篇    下一篇

一类不确定离散广义系统的鲁棒H_2控制

杨冬梅;张庆灵;陈淑珍   

  1. 东北大学理学院 ; 东北大学理学院 ; 中国人民解放军军事交通学院 辽宁沈阳　110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2003-01-15 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(991121118);;教育部高等学校骨干教师资助计划资助项目·

Robust H2 control for uncertain discrete-time descriptor systems

Yang, Dong-Mei (1); Zhang, Qing-Ling (1); Chen, Shu-Zhen (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Mil. Traffic Acad. of the PLA, Tianjin 300161, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-01-15 Published:2013-06-23
  • Contact: Yang, D.-M.
  • About author:-
  • Supported by:
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摘要： 研究一类不确定离散广义系统的鲁棒H2优化控制问题·对系统所有容许的不确定参数,提出满足鲁棒H2性能的一个充分条件,目的是设计状态反馈控制律,保证闭环系统是容许的且满足鲁棒H2性能·得到该问题可解的一个矩阵不等式的充分条件并给出一个控制律的设计·数值例子进一步说明本文的主要结果·

关键词: 离散广义系统, 鲁棒, H2范数, H2控制, 优化控制, 矩阵不等式

Abstract: The robust H2 optimal control problems for uncertain discrete-time descriptor systems were studied. A sufficient condition was presented for the systems to satisfy the robust H2 performance for all admissible uncertainties. The condition can be used to design state feedback controllers, and the resulting closed-loop system is admissible and satisfies the robust H2 performance. A sufficient condition of matrices inequalities was obtained and a stale feedback controller was designed. A numerical example was given to illustrate the results.

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