引用本文:林宗利，陈本美，阿里•萨巴利，李威利.离散系统状态反馈下H2/H∞ 同步优化控制问题[J].控制理论与应用,1998,15(2):217~225.[点击复制]
LIN Zongli，CHEN Ben， M.SABERI ，AliLY Uy-Loi.Simultaneous H2/H∞ Optimal Control for Discrete-Time Systems: The State Feedback Case[J].Control Theory and Technology,1998,15(2):217~225.[点击复制]
离散系统状态反馈下H2/H∞ 同步优化控制问题
Simultaneous H2/H∞ Optimal Control for Discrete-Time Systems: The State Feedback Case
摘要点击 827  全文点击 435  投稿时间：1996-04-30  
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  
  1998,15(2):217-225
中文关键词  H2/H∞ 同步优化控制  鲁棒控制  离散系统擦拭  状态反馈
英文关键词  simultaneous H2/H∞ optimal control  robust control  control for discrete-time systems  state feedback control
基金项目  
作者单位
林宗利，陈本美，阿里•萨巴利，李威利  
中文摘要
      本文提出一个离散系统状态反馈下H2/H∞ 同步优化控制问题。本文提出的问题是利用设计动态状态反馈控制器来使某闭环传递函数的H2范数达到最优，同时也使另一闭环传递函数满足预先给定的H∞范数值。本文所考虑的系统有相当之普遍性，只要求其中一个从控制输入到被控制输出的开环传递函数是左可逆。本文也建立了所提出的H2/H∞ 同步优化控制问题有解之充分和必要条件。
英文摘要
      This paper presents a simultaneous H2/H∞ optimal control problem for discrete-time systems in the state-feedback case . By the use of dynamic state feedback controllers, the design seeks to minimize the H2 norm of a closed-loop transfter matrix while simultaneously satisfying a prescribed H∞ norm bound on some other closed-loop transfer matrix . The class of problems addressed here is relatively general and consists of systems which have left invertible transfer function matrix from the control input to the controlled output. Necessary and sufficient conditions are established so that the posed simultaneous H2/H problem issolvable withstatefeedbackcontrollers