东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2005, Vol. 26 ›› Issue (10): 923-925.DOI: -

• 论著 • 上一篇    下一篇

一类区间切换系统的鲁棒稳定性

赵胜芝;李建华;赵军   

  1. 东北大学教育部暨辽宁省流程工业综合自动化重点实验室;东北大学教育部暨辽宁省流程工业综合自动化重点实验室;东北大学教育部暨辽宁省流程工业综合自动化重点实验室 辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2005-10-15 发布日期:2013-06-24
  • 通讯作者: Zhao, S.-Z.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009);;

Robust stability of a class of interval switched systems

Zhao, Sheng-Zhi (1); Li, Jian-Hua (1); Zhao, Jun (1)   

  1. (1) Laboratory of Process Industry Automation, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2005-10-15 Published:2013-06-24
  • Contact: Zhao, S.-Z.
  • About author:-
  • Supported by:
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摘要： 讨论了一类区间切换系统的鲁棒稳定性.区间切换系统是一类含有不确定参数的切换系统.作为一个切换系统,标称系统的稳定性决定了这类区间切换系统的鲁棒稳定性.充分利用结构特点,通过标称系统各部分的稳定性获得这类系统的鲁棒稳定性.当标称系统的各子系统均渐近稳定时,给出区间切换系统在任意切换下渐近稳定的条件.进一步,在标称系统的各子系统都不渐近稳定的情形下,利用凸组合技术,讨论了实现区间切换系统在某一切换律下的渐近稳定性.

关键词: 切换系统, 切换律, 区间切换系统, 标称系统, 凸组合

Abstract: Discusses the robust stability of a class of interval switched systems with parameter uncertainties. As a switched system, its robust stability depends on the stability of nominal system. Making full use of such structural properties, the robust stability of an interval switched system can be derived from the stability of its nominal system. When all subsystems of a nominal system are asymptotically stable, the conditions on which the robust stability of relevant interval switched system can be achieved for all switching laws are given. Furthermore, using the convex combination technique, the robust stability of an interval switched system is obtained under a certain switching law if no subsystem of nominal system is asymptotically stable.

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