东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2012, Vol. 33 ›› Issue (2): 153-156.DOI: -

• 论著 •    下一篇

切换系统超稳定的充分条件

王霞;唐予军;赵军;   

  1. 东北大学流程工业综合自动化国家重点实验室;河北大学电子信息工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-01-17
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(61174073,90816028)

A sufficient condition for hyperstability of switched systems

Wang, Xia (1); Tang, Yu-Jun (2); Zhao, Jun (1)   

  1. (1) State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China; (2) College of Electronic and Information Engineering, Hebei University, Baoding 071002, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-01-17
  • Contact: Wang, X.
  • About author:-
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摘要： 研究了切换系统的超稳定问题.利用子系统交互能量的概念,将子系统所获得的能量分为从系统输入获得的能量和从其他子系统获得的能量两部分.通过改变Popov积分不等式的积分限,对子系统所获得的能量进行限制.在每个子系统所获得的总能量有限的情况下,基于切换系统的耗散理论,分析了切换系统运动的超稳定和渐近超稳定性;利用正实引理和Kalman-Yakubovich-Popov引理得到了慢切换条件下切换系统超稳定和渐近超稳定的充分条件.数值仿真结果证明了结论的正确性.

关键词: 切换系统, 超稳定, 耗散, 无源, 交互能量

Abstract: The hyperstability property of switched systems was investigated. The imported energy of each subsystem is from the input of the switched system or from the other subsystems. The whole imported energy of each subsystem was restricted by the Popov inequality with modified integral interval. Under the conditions that all the subsystems have finite imported energy, the hyperstability and asymptotical hyperstability of switched systems were studied on the basis of the dissipative theory of switched systems. According to the positive real lemma and Kalman-Yakubovich-Popov lemma, sufficient conditions were given which made the switched system have hyperstability and asymptotical hyperstability when switching signals were slow. Simulation results verified the conclusion.

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