引用本文:李钟慎,王永初.Butterworth最优控制的逆问题[J].控制理论与应用,2006,23(3):455~457.[点击复制]
LI Zhong-shen,WANG Yong-chu.Inverse problems of Butterworth optimal control[J].Control Theory and Technology,2006,23(3):455~457.[点击复制]
Butterworth最优控制的逆问题
Inverse problems of Butterworth optimal control
摘要点击 1956  全文点击 1252  投稿时间:2004-12-31  修订日期:2005-08-16
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DOI编号  10.7641/j.issn.1000-8152.2006.3.024
  2006,23(3):455-457
中文关键词  Butterworth  最优控制  状态反馈增益阵  Riccati方程  加权矩阵
英文关键词  Butterworth  optimal control  state feedback gain matrix  Riccati equation  weighting matrix
基金项目  福建省自然科学基金资助项目(A0410020)
作者单位
李钟慎,王永初 华侨大学机电及自动化学院,福建泉州362021 
中文摘要
      为了认识Butterworth最优控制的本质,揭开Butterworth最优传递函数与加权矩阵Q,R的相互关系,本文研究Butterworth最优控制的逆问题.首先用Butterworth最优控制确定状态反馈增益阵K,然后给出计算加权矩阵Q的参数化公式,最后用一个例子说明这种确定加权矩阵Q,R的方法的有效性和简便性.
英文摘要
      In order to understand the essence of Butterworth optimal control,uncover the correlation between the Butterworth optimal transfer functions and the weighting matrices Q and R,the inverse problems of Butterworth optimal control are studied in this paper.Firstly,the state feedback gain matrix K is designed by the method of Butterworth optimal control.Then,the parametric formula for calculating the weighting matrix Q is given.Finally,an example is given to illustrate the effectiveness and simplicity of the method for choosing the weighting matrix Q.