东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (8): 1065-1068+1073.DOI: -

• 论著 •    下一篇

时变时延比例积分状态反馈网络控制系统的稳定性

党向东;张庆灵;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-08-15 发布日期:2013-06-22
  • 通讯作者: Dang, X.-D.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011)

Stability of NCS with time-varying delay based on PI state feedback

Dang, Xiang-Dong (1); Zhang, Qing-Ling (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-08-15 Published:2013-06-22
  • Contact: Dang, X.-D.
  • About author:-
  • Supported by:
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摘要： 研究在传感器与控制器间、控制器与执行器间有时延和数据包丢失的网络控制系统的模型、指数稳定性和控制器设计问题.将时变时延和数据包丢失的比例积分状态反馈网络控制系统建模为有事件率约束的异步动态系统.基于异步动态系统理论、Lyapunov稳定性原理和线性矩阵不等式方法,提出网络控制系统指数稳定的半负定矩阵条件和比例积分状态反馈控制器设计方法.通过数值算例说明提出的网络控制系统指数稳定的半负定矩阵条件和控制器设计方法是可行的.

关键词: 网络控制系统, 指数稳定, 比例积分控制, 状态反馈, 时变时延, 数据包丢失

Abstract: Studies the modeling, exponential stability and controller design of networked control system (NCS) with both delayed transmission time and data packet dropout occurring between sensor, controller and actuator. The NCS with time-varying delay and data packet dropout based on proportional-integral (PI) state feedback is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Based on the ADS theory, principle of Lyapunov stability and method of linear matrix inequality, both the negative semi-definite matrix condition for exponential stability and the PI state feedback controller design of NCS are presented. Numerical example showed that both are feasible.

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