Optimal reconfiguration of spacecraft formations using the Gauss pseudospectral method
Optimal reconfiguration of spacecraft formations using the Gauss pseudospectral method
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DOI：
10.2514/1.31083
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发表时间：
2008-05-01
影响因子：
2.6
通讯作者：
Rao, Anil V.
中科院分区：
文献类型：
--
作者：
Huntington, Geoffrey T.;Rao, Anil V.
本文讨论了如何以燃料最优的方式重新配置四面体编队的问题。本研究的目的是制定和解决一个最优控制问题，导致在一个单一的轨道，最小燃料的重新配置策略，这样，重新配置后，四个航天器在一个轨道，创建一个可接受的四面体配置整个轨道的一部分。特别地，可接受的四面体是满足指定尺寸和形状要求的四面体。重构问题是作为一个多相非线性最优控制问题，并通过直接转录使用高斯伪谱方法解决。在这项研究中获得的结果提供了深入了解的结构的最佳使命设计，并证明了高斯伪谱方法的通用性，计算效率和准确性。
This paper addresses the problem of how to reconfigure a tetrahedral formation in a fuel-optimal manner. The objective of this research is to formulate and solve an optimal control problem that results in a single-orbit, minimum-fuel reconfiguration strategy such that, after reconfiguration, the four spacecraft are in an orbit that creates an acceptable tetrahedral configuration throughout a portion of the orbit. In particular, an acceptable tetrahedron is one that meets specified size and shape requirements. The reconfiguration problem is posed as a multiple-phase nonlinear optimal control problem and is solved via direct transcription using the Gauss pseudospectral method. The results obtained in this study provide insight into the structure of the optimal mission design and demonstrate the generality, computational efficiency, and accuracy of the Gauss pseudospectral method.