利用动态规划原理实现多冲量最优交会问题
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Solving the Optimal Multi-impulse Rendezvous ProblemBased on the Dynamic Programming
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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。

    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.

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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. Solving the Optimal Multi-impulse Rendezvous ProblemBased on the Dynamic Programming[J].国防科技大学学报,2006,28(6):38-42.

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  • 收稿日期:2006-04-07
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  • 在线发布日期: 2013-03-14
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