| LQ控制区段混合能矩阵的微分方程及其应用 |
| |
| 引用本文： | 钟万勰,钟翔翔.LQ控制区段混合能矩阵的微分方程及其应用[J].自动化学报,1992,18(3):325-332. |
| |
| 作者姓名： | 钟万勰 钟翔翔 |
| |
| 作者单位： | 1.大连理工大学工程力学研究所,大连; |
| |
| 基金项目： | 中国自然科学基金支持项目 |
| |
| 摘 要： | 本文根据计算结构力学与线性二次控制的对应关系,提出了连续时间有限区段的混合能
分块子矩阵Q2,G2及Φ2.推导出适用于LQ控制非定常课题的二区段连接的凝聚消元公式及
这些子矩阵的微分方程,可用级数展开求解这些方程.当△t很小时,这些分块子矩阵的高次
近似可以大大加速里卡提代数方程算法的收敛性.
|
| 关 键 词： | 区段混合能矩阵 LQ控制 |
| 收稿时间： | 1989-11-17 |
On Differential Equation of the Interval Mixed Energy Submatrices of LQ Control and its Application |
| |
| Zhong Wanxie,Zhong Xiangxiang.On Differential Equation of the Interval Mixed Energy Submatrices of LQ Control and its Application[J].Acta Automatica Sinica,1992,18(3):325-332. |
| |
| Authors: | Zhong Wanxie Zhong Xiangxiang |
| |
| Affiliation: | 1.Institute of Engineering Mechanics,Dalian University of Technology;Dept.of Applied Mathematics,State University of New York as Stone Brook |
| |
| Abstract: | Based on the corresponding relation between LQ control and computational structural
mechanics, the interval mixed energy matrices Q2,G2 and Φ2 are put forward in this paper.
Then, the formulas for the condensation algorithm of the LQ control problem are derived.
From the condensation formulas, the differential equations for these matrices are introduced.
The Riccati equation is one of them. These equations are solved by the series expansion method
when △t is very small. Using the higher approximation of the very small interval, △t, one can
speed up the iterative solution of the algebraic Riccati equation. |
| |
| Keywords: | Interval mixed energy submatixces LQ control |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《自动化学报》浏览原始摘要信息 |
|
点击此处可从《自动化学报》下载全文 |
|
