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 (8): 1074-1078.DOI: -

• 论著 • 上一篇    下一篇

改进的不确定时滞系统时滞相关鲁棒镇定结论

李圣涛;井元伟;刘小梅;   

  1. 东北大学信息科学与工程学院;东南大学自动化学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家高技术研究发展计划项目(2010AA101702)

Improved delay-dependent robust stabilization result for uncertain systems with time-delay

Li, Sheng-Tao (1); Jing, Yuan-Wei (1); Liu, Xiao-Mei (2)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China; (2) School of Automation, Southeast University, Nanjing 210096, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Li, S.-T.
  • About author:-
  • Supported by:
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摘要： 针对一类不确定时滞系统,研究了其时滞相关鲁棒镇定问题.通过将整个时滞区间划分为许多子区间,并在每个子区间上定义不同的能量函数,定义了一种新的Lyapunov-Krasovskii泛函.基于此泛函,并借助线性矩阵不等式工具,给出了标称时滞系统的时滞相关稳定条件.基于得到的稳定条件给出了状态反馈控制器的设计方法,得到的控制律可保证相应的闭环系统鲁棒渐近稳定.最后,仿真示例表明了该方法的可行性.

关键词: 时滞系统, 时滞相关, 线性矩阵不等式, 鲁棒镇定

Abstract: The problem of delay-dependent robust stabilization for uncertain systems with time-delay is considered. A Lyapunov-Krasovskii functional is designed by splitting the whole time-delay interval into some subintervals and defining different energy functions in every subinterval. Using the linear matrix inequality technique, a delay-dependent stability criterion is derived to ensure the nominal system to be stable. Based on the criterion, the problem is solved via a state feedback controller, guaranteeing the resultant closed-loop system to be robustly asymptotically stable. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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