| Butterworth最优控制的逆问题 |
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| 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. |
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| 作者姓名： | 李钟慎 王永初 |
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| 作者单位： | 华侨大学,机电及自动化学院,福建,泉州,362021;华侨大学,机电及自动化学院,福建,泉州,362021 |
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| 基金项目： | 福建省自然科学基金资助项目(A0410020) |
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| 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.
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| 关 键 词： | Butterworth 最优控制 状态反馈增益阵 Riccati方程 加权矩阵 |
| 文章编号： | 1000-8152（2006）03-0455-03 |
| 收稿时间： | 2004-12-31 |
| 修稿时间： | 2004-12-312005-08-16 |
Inverse problems of Butterworth optimal control |
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| LI Zhong-shen,WANG Yong-chu.Inverse problems of Butterworth optimal control[J].Control Theory & Applications,2006,23(3):455-457. |
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| Authors: | LI Zhong-shen WANG Yong-chu |
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| Affiliation: | College of Mechanical Engineering and Automation,Huaqiao University,Quanzhou Fujian 362021,China |
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| Abstract: | 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. |
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| Keywords: | Butterworth optimal control state feedback gain matrix Riccati equation weighting matrix |
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