引用本文:谭文，涂其，周其节，梁天培.奇异摄动系统H∞问题的进一步研究*[J].控制理论与应用,1996,13(4):505~510.[点击复制]
TAN Wen，TU Qilie and ZHOU Qijie，Leung，T. P.Further Research on H∞ Control for Singularly-Perturbed Systems[J].Control Theory and Technology,1996,13(4):505~510.[点击复制]
奇异摄动系统H∞问题的进一步研究*
Further Research on H∞ Control for Singularly-Perturbed Systems
摘要点击 1034  全文点击 535  投稿时间：1994-07-30  修订日期：1995-08-01
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DOI编号  
  1996,13(4):505-510
中文关键词  奇异摄动系统  H∞控制  快、慢分解
英文关键词  singularly-perturbed system  H∞ control  fast and slow decomposition
基金项目  
作者单位
谭文，涂其，周其节，梁天培 华南理工大学自动化系 
中文摘要
      本文给出奇异摄动系统H∞问题有解的一个简洁的ε－独立充要条件，并给出H∞控制器的具体形式．同时本文证明该控制器亦具有奇异摄动性，并且其快、慢部分分别为原系统的快、慢子系统之H∞问题的次优控制器．本文结果亦适用于非标准摄动情形．
英文摘要
      This paper presents a concise ε-independent sufficient and necessary condition for H∞. control problem of singularly-perturbed systems and the construction of the (sub)optimal controller. We observe that the controller is also singularly perturbed. Furthermore，the fast and slow part of the (sub)optimal controller are (sub)optimal for the fast and slow subsystem of the original singularly-perturbed system respectively. Our results apply to the case when A22 is singular.