| 精细积分区段混合能矩阵的一种计算方法 |
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| 引用本文： | 高索文,吴志刚,王本利,马兴瑞.精细积分区段混合能矩阵的一种计算方法[J].应用数学和力学,2001,22(5):493-498. |
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| 作者姓名： | 高索文 吴志刚 王本利 马兴瑞 |
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| 作者单位： | 1.哈尔滨工业大学航天工程与力学系, 哈尔滨 150001; |
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| 基金项目： | 国防95预研资助项目（A966000-50） |
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| 摘 要： | 根据结构力学与最优控制的模拟理论中阐述的各混合能矩阵的力学意义,介绍了一种利用微分方程组的状态转移矩阵计算区段混合能矩阵的方法,其计算结果与泰勒级数展开法是一致的。
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| 关 键 词： | 精细积分 黎卡提方程 最优控制 |
| 文章编号： | 1000-0887(2001)05-0493-06 |
| 收稿时间： | 2000-02-02 |
| 修稿时间： | 2000年2月2日 |
A Computational Method for
Interval Mixed Variable Energy Matrices in Precise Integration |
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| GAO Suo-wen,WANG Ben-li,WU Zhi-gang,MA Xing-rui.A Computational Method for
Interval Mixed Variable Energy Matrices in Precise Integration[J].Applied Mathematics and Mechanics,2001,22(5):493-498. |
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| Authors: | GAO Suo-wen WANG Ben-li WU Zhi-gang MA Xing-rui |
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| Institution: | 1.Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P R China;2.Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P R China;3.Chinese Academy of Space Technology, Beijing 100081, P R China |
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| Abstract: | To solve the Riccati equation of LQ control problem, the computation of interval mixed variable energy matrices is the first step. Taylor expansion can be used to compute the matrices. According to the analogy between structural mechanics and optimal control and the mechanical implication of the matrices, a computational method using state transition matrix of differential equation was presented. Numerical examples are provided to show the effectiveness of the present approach. |
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| Keywords: | precise integration Riccati equation optimal control |
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