| 最优调节器的一个逆问题 |
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| 引用本文： | 胡寿松,何秀凤.最优调节器的一个逆问题[J].航空学报,1989,10(1):84-88. |
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| 作者姓名： | 胡寿松 何秀凤 |
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| 作者单位： | 南京航空学院
(胡寿松)，南京航空学院(何秀凤) |
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| 摘 要： | 最优调节器的逆问题,是指已知某个具有未知定常扰动的线性定常系统和相对稳定性要求,寻求某个二次型性能指标,使得由相对稳定性要求确定的控制律对所构造的性能指标是最优的。1984年,Juang J C和Lee TT提出在规定域内进行极点最优配置的方法;1986年,Lee TT和Liaw G T在此基础上提出了一种不唱求解Riccati方程就能确定逆调节器权阵Q和R的新方法。
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| 关 键 词： | 调节器 最优控制 李亚普诺夫第二法 极点配置 稳定性 |
| 收稿时间： | 1987-11-14; |
AN INVERSE PROBLEM OF LINEAR OPTIMAL REGULATORS |
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| Nanjing Aeronautical Institute Hu Shousong and He Xiufeng.AN INVERSE PROBLEM OF LINEAR OPTIMAL REGULATORS[J].Acta Aeronautica et Astronautica Sinica,1989,10(1):84-88. |
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| Authors: | Nanjing Aeronautical Institute Hu Shousong and He Xiufeng |
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| Institution: | Nanjing Aeronautical Institute Hu Shousong and He Xiufeng |
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| Abstract: | This paper presents a new solution to the inverse problem of linear optimal regulators to minimize a cost function and meet requirements of the relative stability in the presence of a constant but unknown disturbance. In this paper, a state feedback matrix is developed by the Lyapunov second method. Moreover, the relationships between the state feedback matrix and the cost function arc obtained, so that a formula to solve the weighting matrices is suggested. An example is provided which illustrates the effectiveness of the method. |
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| Keywords: | regulator optimal control Lyaputiov second method pole assignment stability |
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