引用本文:陈本美,阿里•萨巴利,雅咯夫•夏马诩.离散型H2优化控制问题有唯一解之充分和必要条件[J].控制理论与应用,1996,13(6):745~753.[点击复制]
CHEN Benmei,Ali Aaberi,Yacov Shamash.Necessary and Sufficient Conditions Under which Discrete Time H2-Optimal Control Problem Has an Unique Solution[J].Control Theory and Technology,1996,13(6):745~753.[点击复制]
离散型H2优化控制问题有唯一解之充分和必要条件
Necessary and Sufficient Conditions Under which Discrete Time H2-Optimal Control Problem Has an Unique Solution
摘要点击 709  全文点击 371  投稿时间:1995-06-29  修订日期:1996-02-14
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DOI编号  
  1996,13(6):745-753
中文关键词  
英文关键词  H2-optimal control  Q-parameterization  discrete time disturbance decoupling  discrete-time systems
基金项目  
作者单位
陈本美,阿里•萨巴利,雅咯夫•夏马诩 新加坡国立大学电子工程系 
中文摘要
      本文导出一般性离散型H2优化控制问题存在唯一解之充分和必要条件.我们的结果显示,如果一离散型H2优化控制问题有解,那么其解是唯一的充分和必要条件为:①从控制输入到被控制输出之传递函数是左可逆,及②从干扰输入到测量输出之传递函数是右可逆.
英文摘要
      A set of necessary and sufficient conditions under which a general discrete time H2 -optimal control problem has a unique solution is derived.It is shown that the solution for s discrete time H2-optimal control problem,if it exists,is unique if and only i)the transfer function from the control input to the controlled output is left invertible,and ii)the transfer function from the disturbance to the measurement output is right invertible.