东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (5): 623-626.DOI: -

• 论著 • 上一篇    下一篇

离散广义系统的无源分析与控制

李琴;张庆灵;   

  1. 东北大学理学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-05-15 发布日期:2013-06-24
  • 通讯作者: Li, Q.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011)

Passive analysis and control for discrete-time singular systems

Li, Qin (1); Zhang, Qing-Ling (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-05-15 Published:2013-06-24
  • Contact: Li, Q.
  • About author:-
  • Supported by:
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摘要： 针对一类离散广义系统的严格无源问题进行分析,利用严格线性矩阵不等式得到了系统容许且严格无源的充分必要条件.在无源分析的基础上,针对状态方程和输出方程均含有控制的离散系统,利用矩阵不等式分析状态反馈控制下闭环系统容许且严格无源的条件,同时给出了控制器的设计方法.最后举例说明了本文方法的有效性,同时从仿真算例也可以看出,离散广义系统无源的严格LMI条件比非严格LMI条件简洁易判断.

关键词: 广义系统, 离散系统, 无源控制, 线性矩阵不等式, 状态反馈

Abstract: The strict passivity of a class of discrete-time singular systems is analyzed. A sufficient and necessary condition is given by means of strict linear matrix inequality (LMI) for the systems to be admissible and strictly passive. Based on the passive analysis and aiming at the discrete-time systems in which both state and output equations involve the control, the condition that is admissible and strictly passive for the closed-loop system is also analyzed via LMI under the control of state feedback, and the design method of the controller is given. A simulation example is presented to illustrate the effectiveness of the proposed method and show that the condition of strict LMI is simpler and easier to draw the same conclusion in comparison with the condition of non-strict LMI.

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