东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (3): 305-307.DOI: -

• 论著 •    下一篇

非线性的实时网络控制系统稳定性分析

刘丽丽;张庆灵;   

  1. 东北大学理学院;东北大学理学院 辽宁 沈阳 110004;辽宁 沈阳 110004
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-03-15 发布日期:2013-06-22
  • 通讯作者: Liu, L.-L.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金(60574011);;

Stability analysis of non-linear real-time network control systems

Liu, Li-Li (1); Zhang, Qing-Ling (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-03-15 Published:2013-06-22
  • Contact: Liu, L.-L.
  • About author:-
  • Supported by:
    -

摘要: 研究了一般的连续型非线性网络控制系统,利用Razumikhin方法针对网络诱导延时,通过设计状态反馈控制器,得出了使系统状态一致稳定的条件,即状态反馈矩阵和网络诱导延时的最大允许值之间的关系,这是保证闭环系统一致稳定的一般条件.并由此结论给出了一类连续型线性网络控制系统状态反馈矩阵的范数估计及网络最大诱导延时的估计.该结论是基于依赖时滞的方法得出的.最后的数值仿真例子表明该方法的有效性.

关键词: 非线性, 网络控制系统, 网络诱导延时, 稳定性, 时滞依赖

Abstract: Considering the general continuous non-linear network control systems and using the Razumikhin method to solve the value of network-induced time delay, a state feedback controller is designed to get the condition to keep the system state consistently stable, ie., the relationship between the state feedback matrix and the maximum permitted value of network-induced time delay. The condition is just the general condition to ensure the consistently stable closed-loop system. Then, the estimates of both the norm of the state feedback matrix for a class of continuous linear network control systems and the maximum value of network-induced time delay are given easily. Such a conclusion is drawn depending on time delay. Numerical simulation result shows the effectiveness of the proposed method.

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