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 (12): 1681-1684.DOI: -

• 论著 • 上一篇    下一篇

基于多观测器的变采样周期网络控制系统的H_∞控制

张翼;孙福学;张庆灵;   

  1. 东北大学理学院;沈阳工业大学理学院;
  • 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:
    国家自然科学基金资助项目(60574011,61074029)

H∞ control of multiple observers-based networked control systems with variable sampling period

Zhang, Yi (1); Sun, Fu-Xue (2); Zhang, Qing-Ling (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China; (2) School of Science, Shenyang University of Technology, Shenyang 110870, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Zhang, Q.-L.
  • About author:-
  • Supported by:
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摘要： 研究了变采样区间和多状态观测器的联合设计问题.考虑到网络诱导时延可能大于一个采样周期,假定采样周期取值在有限集内切换,构建具有单状态观测器和多状态观测器的网络控制系统Markov跳变模型.在此基础上,基于Markov理论,获得闭环网络控制系统随机稳定的充分条件和最优H∞范数上界.并且,应用线性矩阵不等式技术,获得模型依赖控制器和观测器设计方案.仿真对比表明多状态观测器对网络控制系统更有效.

关键词: 网络控制系统, 变采样周期, 状态观测器, 随机稳定, H∞控制

Abstract: The joint design problem of the variable sampling interval and multiple state observers was studied. The network-induced delay was considered which could be larger than one sampling period, and the sampling period was assumed to be switched in a finite set. The Markovian jumping models of the networked control systems with multiple state observers and single state observer were constructed, based on which, the sufficient conditions for stochastic stability and optimal H∞ norm bound were derived for the closed-loop networked control systems by the application of Markovian theory. Furthermore, the controllers and observers were designed in terms of linear matrix inequalities (LMIs) technology. Simulations were compared to show the effectiveness of multiple state observers for networked control systems.

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