引用本文:刘梅,张焕水,段广仁.离散系统多步观测时滞的H∞输出反馈控制[J].控制理论与应用,2007,24(1):46~52.[点击复制]
LIU Mei ,ZHANG Huan-shui,DUAN Guang-ren .H-infinity measurement-feedback controlfor discrete-time systems with multiple delayed measurements[J].Control Theory and Technology,2007,24(1):46~52.[点击复制]
离散系统多步观测时滞的H∞输出反馈控制
H-infinity measurement-feedback controlfor discrete-time systems with multiple delayed measurements
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DOI编号  10.7641/j.issn.1000-8152.2007.1.008
  2007,24(1):46-52
中文关键词  离散系统  多步时滞  H-infinity控制  Krein空间  重组观测
英文关键词  discrete-time systems  multiple delays  H-infinity control  Krein space  re-organized measurements
基金项目  国家自然科学基金资助项目 60174017;国家杰出青年基金资助项目 69925308
作者单位
刘梅,张焕水,段广仁 1. 北京工商大学基础部, 北京100037
2. 山东大学控制科学与工程学院, 山东济南250061
3. 哈尔滨工业大学控制理论与制导技术中心,黑龙江哈尔滨150001 
中文摘要
      针对一类多观测时滞离散系统, 本文提出了基于Krein空间理论解决H∞输出反馈问题的新方法. 利用H∞输出反馈控制问题与不定二次型之间的关系, 时滞系统的H-infinity控制问题分解为LQ问题和时滞的H∞估计问题. 通过重组观测, 时滞的H∞估计问题可转化为无时滞的H∞估计问题, 从而给出由两个Riccati方程决定的H∞控制器存在的充要条件. 本文的方法不需要增广系统.
英文摘要
      A new approach to solve the H-infinity control problem for linear discrete-time systems with multiple delayed measurements is proposed based on Krein space theory. By using the relationship between H-infinity measurement-feedback control problem and indefinite quadratic form, the H-infinity control problem for the time delay system is separated into an LQ problem and a delayed H2 estimation problem which can be converted into a delay-free H2estimation problem resorted to reorganizing the measurements. Then, a sufficient and necessary condition for the existence of the H-infinity controller which is determined by two Riccati equations is presented. The approach in this paper does not require system augmentation.