东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2018, Vol. 39 ›› Issue (2): 297-300.DOI: 10.12068/j.issn.1005-3026.2018.02.029

• 数学 • 上一篇    下一篇

不确定多时滞切换广义系统的鲁棒无源控制

杨冬梅， 陈珊珊   

  1. (东北大学 理学院， 辽宁 沈阳110819)
  • 收稿日期:2016-10-20 修回日期:2016-10-20 出版日期:2018-02-15 发布日期:2018-02-09
  • 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:
    国家自然科学基金资助项目(61673100); 辽宁省自然科学基金资助项目(2014020022).

Robust Passive Control for Uncertain Switched Singular Systems with Multiple Time-Delays

YANG Dong-mei， CHEN Shan-shan   

  1. School of Sciences， Northeastern University， Shenyang 110819， China.
  • Received:2016-10-20 Revised:2016-10-20 Online:2018-02-15 Published:2018-02-09
  • Contact: YANG Dong-mei. E-mail
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摘要： 将无源的概念从广义系统扩展到带有多时滞的切换广义系统之中，进而研究了一类同时具有不确定项和多时滞项的相对比较复杂的系统的无源控制问题，其中一些条件需满足假设前提.首先，利用一种广义Lyapunov方法再结合线性矩阵不等式方法，给出了使不确定多时滞切换广义系统能够渐近稳定且严格无源的充分条件; 再根据已有的条件设计出鲁棒无源控制器，使得带有不确定项和多时滞项的切换广义系统可以渐近稳定并严格无源.最后用数值算例说明了有效性.

关键词: 多时滞, 鲁棒无源控制, 切换广义系统, 不确定性

Abstract: The concept of passive source is extended to the switched singular systems with multiple time-delays. The problem of robust passive control for a class of switched singular systems with both uncertainties and multiple time-delays is studied， and some of these conditions need to satisfy the hypothesis. First， by means of generalized Lyapunov function and linear matrix inequality， the sufficient conditions are given for the asymptotic stability and strictly passive of uncertain switched singular systems with multiple time-delays. Moreover， the qualified robust passive controller is designed according to the existing conditions， so that the switched singular systems can be asymptotically stable and strictly passive. Finally， numerical examples illustrate the effectiveness of the approaches.

Key words: multiple time-delays, robust passive control, switched singular systems, uncertain

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