| 引用本文: | 王耀青 ,吕勇哉.LQ最优控制之逆问题的研究[J].控制理论与应用,1989,6(4):9~18.[点击复制] |
| Wang Yaoqing, Lu Yongzai.Study on the Inverse Problem of LQ Optimal Control[J].Control Theory and Technology,1989,6(4):9~18.[点击复制] |
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| LQ最优控制之逆问题的研究 |
| Study on the Inverse Problem of LQ Optimal Control |
| 摘要点击 896 全文点击 406 投稿时间：1987-11-04 修订日期：1989-03-13 |
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| DOI编号 |
| 1989,6(4):9-18 |
| 中文关键词 最优控制 加权矩阵 LQ逆问题 特征值 特征多项式 |
| 英文关键词 Optimal control Weighting matrices LQ inverse problem Eigenvalues Characteristic polynomials. |
| 基金项目 |
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| 中文摘要 |
| 本文通过适当地选取LQ性能指标函数中的加权矩阵R，给出了该二次型性能指标函数中的另一个加权矩阵Q与系统的开环特征多项式、闭环特征多项式的系数以及系数的系数矩阵A、B之间的对应关系。如果给定了一个系统以及该系统的一组最优闭环极点，就可以求得矩阵Q。同时，用本文的研究成果，还可以直接确定系统的最优状态反馈系数矩阵。 |
| 英文摘要 |
| In this paper, the relation between the weighting matrix Q in a linear quadratic performance index and the coefficients of the closed-loop characteristic polynomial, Open-loop characteristic polynomial and the coefficients matrices A, B of a system is developed via appropriately choosing the other weighting matrix R in the LQ performance index. With the result, Q can readily be determined if an open-loop system and its desired Optimal closed-loop eigenvalues are given. Besides, the optimal state feedback gain matrix for the system under study is also given through using the proposed results. |
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