| 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 & Applications,2006,23(3):455~457.[点击复制] |
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| Butterworth最优控制的逆问题 |
| Inverse problems of Butterworth optimal control |
| 摘要点击 2454 全文点击 1401 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) |
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| 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. |