| 引用本文: | 刘鲁华,汤国建,余梦伦.利用动态规划原理实现多冲量最优交会问题.[J].国防科技大学学报,2006,28(6):38-42.[点击复制] |
| LIU Luhua,TANG Guojian,YU Menglun.Solving the Optimal Multi-impulse Rendezvous Problem Based on the Dynamic Programming[J].Journal of National University of Defense Technology,2006,28(6):38-42[点击复制] |
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| 利用动态规划原理实现多冲量最优交会问题 |
| 刘鲁华, 汤国建, 余梦伦 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 多冲量最优交会问题是航天领域非常重要的一个研究方向，从运筹学角度将此问题转化为一个多阶段多维动态规划问题，并着重对多阶段二维动态规划进行分析研究。在给出状态方程及指标函数递推公式的基础上，得到了两冲量和三冲量交会问题最优解的求解算法，之后分别通过实例验证了算法的有效性。对于以地心角等参数为决策变量的更高维问题，讨论了利用进化算法等降维方法实现多维动态规划的思想。 |
| 关键词: 交会 轨道机动 最优化 动态规划 进化算法 |
| DOI： |
| 投稿日期：2006-04-07 |
| 基金项目: |
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| Solving the Optimal Multi-impulse Rendezvous Problem Based on the Dynamic Programming |
| LIU Luhua, TANG Guojian, YU Menglun |
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(College of Aerospace and Materials Engineering， National Univ. of Defense Technology，ChangSha 410073，China)
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| Abstract: |
| The multi-impulse rendezvous problem is a key research field of astronautics. Firstly, based on the operational research, this problem was converted to a multi-phase-multi- dimension dynamic programming question. Then the multi-phase-two-dimension dynamic programming problem was emphatically analyzed, and the state transfer equations and recursion equations of the performance function were deduced. The solution to the two-impulse and three-impulse problem and the validating examples were given later. ln the end, the dynamic programming idea which uses the evolution algorithm to reduce the dimension of the multi-dimension question was introduced. |
| Keywords: rendezvous orbit maneuver optimization dynamic programming evolution algorithm |
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