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 (4): 342-344.DOI: -

• 论著 • 上一篇    下一篇

离散广义系统的无源控制

董心壮;张庆灵;郭凯   

  1. 东北大学理学院;东北大学理学院;解放军信息工程大学信息工程学院 辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2003-04-15 发布日期:2013-06-23
  • 通讯作者: Dong, X.-Z.
  • 作者简介:-
  • 基金资助:
    教育部骨干教师基金资助项目

Passive control for discrete-time singular systems

Dong, Xin-Zhuang (1); Zhang, Qing-Ling (1); Guo, Kai (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Sch. of Info. Eng., Info. Univ. of PLA, Zhengzhou 450002, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-04-15 Published:2013-06-23
  • Contact: Dong, X.-Z.
  • About author:-
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摘要： 将无源的概念从非线性系统扩展到离散广义系统 ,进而研究离散广义系统在有界能量外部输入作用下的无源控制问题· 利用线性矩阵不等式和广义代数Riccati不等式 ,给出离散广义系统容许且严格无源的充分条件 ,并且基于此条件给出存在状态反馈控制器 ,使得闭环系统容许且严格无源的充分条件 ,同时提出了相应的控制器设计· 最后的数值算例说明了文中结论的有效性

关键词: 离散广义系统, 容许, 严格无源, 状态反馈, 无源控制

Abstract: The definition of strictly passive is proposed for discrete-time singular systems and the passive control problem is discussed under bounded energy exogenous inputs. By means of linear matrix inequalities and generalized algebra Riccati inequalities, a sufficient condition is derived as such that a prescribed discrete-time singular system is admissible and strictly passive. Moreover, a sufficient condition is provided for the existence of a static state feedback controller such that the resulting closed-loop system is both admissible and strictly passive. The design method for such state feedback controller is also given. An example was carried out to prove the sufficient conditions.

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