广西师范大学学报（自然科学版） ›› 2016, Vol. 34 ›› Issue (4): 78-84.doi: 10.16088/j.issn.1001-6600.2016.04.012

• 广西高校优秀中青年骨干教师培养工程论坛 • 上一篇    下一篇

含时延的网络控制系统的H∞保性能控制器设计

宋娟1,曹自洋2   

  1. 1.苏州科技大学数理学院,江苏苏州215009;
    2. 苏州科技大学机械学院,江苏苏州215009
  • 收稿日期:2016-04-12 出版日期:2016-07-18 发布日期:2018-07-23
  • 通讯作者: 曹自洋(1979—),男,河南驻马店人,苏州科技大学副教授,博士。E-mail:dukeczy@nuaa.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(51305286);苏州市科技计划资助项目(SYN201509)

Design of H∞ Guaranteed Cost Controller for Networked Control Systems with Time Delay

SONG Juan1, CAO Ziyang2   

  1. 1.School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou Jiangsu 215009, China;
    2.School of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou Jiangsu 215009, China
  • Received:2016-04-12 Online:2016-07-18 Published:2018-07-23

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摘要： 本文综合考虑外界噪声输入和网络诱导时延的影响, 研究了网络控制系统的H∞ 保性能控制问题。 基于网络传输环境,首先将含时变时延的网络控制系统建模成一类带有时变参数的闭环离散系统。 接着,使用Lyapunov理论,推导了H∞ 保性能指标存在的条件,并采用线性矩阵不等式(LMI)原理, 提出了H∞ 保性能控制器的设计方法。 最后,通过仿真实验表明, 该H∞ 保性能控制器能有效地提高网络控制系统的鲁棒性,并能维持系统的保性能指标,从而证明了此方法的有效性和可行性。

关键词: 网络控制系统, 时延, H∞ 保性能控制, Lyapunov原理, LMI

Abstract: Considering the influence of external noise input and network induced delay, the H∞ guaranteed cost control of networked control systems is studied. Based on the network transmission environment, the networked control system with time-vary and delay is modeled as a kind of closed loop discrete system with time varying parameters. Then, using the Lyapunov theory, the conditions for the existence of guaranteed performance indexes of H∞ are derived. Based on the principle of linear matrix inequality (LMI), the design method of guaranteed cost controller H∞ is proposed. Finally, the simulation results show that the guaranteed cost controller H∞ can effectively improve the robustness of the network control system, and can maintain the performance index of the system. The validity and feasibility of this method are then proved.

Key words: networked control system, time delay, H∞ guaranteed cost control, Lyapunov theory, linear matrix inequality

中图分类号: 

  • TP273
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