引用本文:谢宋和,李人厚.一种新的最优极点配置方法[J].控制理论与应用,1993,10(1):113~116.[点击复制]
XIE Songhe,LI Renhou.A New Method for Optimal Pole Assignment[J].Control Theory and Technology,1993,10(1):113~116.[点击复制]
一种新的最优极点配置方法
A New Method for Optimal Pole Assignment
摘要点击 911  全文点击 418  投稿时间:1990-05-11  修订日期:1991-03-11
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DOI编号  
  1993,10(1):113-116
中文关键词  最优控制  LQ逆问题  加权矩阵  特征多项式  极点配置
英文关键词  optimal control  LQ inverse problem  weighting matrix  characteristic polynomial  pole assignment
基金项目  
作者单位
谢宋和,李人厚 郑州轻工业学院控制工程系 
中文摘要
      本文从LQ逆问题着眼提出了一种新的最优极点配置方法,推导了加权矩阵Q和R的开环特征多项式、最优闭环特征多项式之间的关系。只要给一定期望的闭环极点,即可确定与之对应的加权矩阵Q和R,从而得到了一个具有指定极点的最优控制系统。
英文摘要
      In this paper, a new method for optimal pole assignment is presented from the viewpoint of the LQ inverse problem. The relationships among the weighting matrices Q and R are the open-loop and optimal close-loop characteristic polynomials are derived. Given a set of desired close-loop poles, the weighting matrices Q and R are at once determined corresponding to these poles, and an optimal control system id obtained with prescribed poles.