引用本文:忻欣,刘延年，冯纯伯.基于散射模型的Ｈ∞ 控制系统的稳定性*[J].控制理论与应用,1996,13(5):663~666.[点击复制]
XIN Xin，LIU Yannian and FENG Chunbo.Stability of Ｈ∞ Control Systems Based on Chain-Scattering Representation[J].Control Theory and Technology,1996,13(5):663~666.[点击复制]
基于散射模型的Ｈ∞ 控制系统的稳定性*
Stability of Ｈ∞ Control Systems Based on Chain-Scattering Representation
摘要点击 1140  全文点击 450  投稿时间：1995-03-31  修订日期：1995-12-26
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DOI编号  
  1996,13(5):663-666
中文关键词  Ｈ∞控制  闭环稳定性  散射模型  (J， J’)-无损矩阵  内矩阵
英文关键词  Ｈ∞ control  closed-loop stability  chain-scattering representation  (J, J')-lossless matrix  inner matrix
基金项目  
作者单位
忻欣,刘延年，冯纯伯 东南大学自动化所 
中文摘要
      本文利用(J，J’)-无损矩阵的性质,研究了基于散射模型的Ｈ∞控制系统的闭环稳定性，获得了当广义对象的散射模型为(J，J’)-无损的Ｈ∞控制问题可解的充要条件.与文[1]中关于广义对象为一类内矩阵的Ｈ∞控制问题求解的结果相比,本文的结论对广义对象的限制要弱.
英文摘要
      The closed-loop stability of H∞ control systems based on chain-scattering representation is studied by using the property of (J, J')-lossless matrix. A necessary and sufficient condition for the Ｈ∞ control systems where the chain-scattering representation of generalized plant is a (J, J')-lossless matrix is obtained.In comparison with the result of [1]about the stability of Ｈ∞ control problem for an inner system，the constraint on the generalized plant is weak.