东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2010, Vol. 31 ›› Issue (4): 457-460.DOI: -

• 论著 •    下一篇

量化的连续时间网络控制系统的H_∞控制

刘英英;杨光红;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-20 修回日期:2013-06-20 出版日期:2010-04-15 发布日期:2013-06-20
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金重点资助项目(60534010);;

H∞ control of quantized continuous-time networked control systems

Liu, Ying-Ying (1); Yang, Guang-Hong (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-20 Revised:2013-06-20 Online:2010-04-15 Published:2013-06-20
  • Contact: Liu, Y.-Y.
  • About author:-
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摘要： 考虑带有两个量化器的连续时间网络控制系统的控制问题,量化器采用静态量化形式.在系统中,状态和控制信号分别在传感器和控制器两侧进行量化.采用李亚普诺夫函数方法、Jessen不等式方法,引入松散变量技术和扇形有界方法获得了基于线性矩阵不等式的H∞性能分析条件,在此基础上给出了量化的网络系统H∞控制器的设计方法.数学例子说明了此方法的有效性.

关键词: H∞控制, 网络控制系统, 量化, 状态反馈

Abstract: How to control the continuous-time networked control systems (NCSs) with two quantizers in static form was considered, where two signals, i.e., state and control input, were quantized separately on the sides of sensors and controllers. The conditions for analyzing the H∞ performance of quantized NCSs were presented in terms of linear matrix inequalities (LMIs), which were obtained by the Lyapunov function and Jessen inequality methods with the technique of relaxation variables and sector bound method introduced. Then, a quantized H∞ controller was designed by solving LMIs. A numerical example was given to illustrate the effectiveness of the proposed method.

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