Abstract

The problem of the optimal program control of the angular motion of a spacecraft (SC) as a rigid body with a quadratic functional of the energy spent on the maneuver of the SC and a fixed time of the transition process is investigated. The dynamic configuration of the SC and the boundary conditions are arbitrary and the control vector function is not limited. In the Poinsot concept, using the Pontryagin maximum principle, a quasi-optimal analytical solution of the problem is obtained, which is developed into an algorithm. Confirming numerical examples are given, showing the proximity of the quasi-optimal solution to the optimal solution of the problem.

中文翻译：

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航天器角运动程序控制的解析拟最优算法

摘要

研究了航天器（SC）作为刚体的角运动的最优程序控制问题，该问题是航天器操纵能量的二次函数和固定的过渡过程时间。SC的动态配置和边界条件是任意的并且控制矢量函数不受限制。在Poinsot概念中，利用庞特里亚金极大值原理，得到问题的拟最优解析解，并将其发展成算法。给出了确认的数值例子，显示了问题的准最优解与最优解的接近程度。