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On Improving the Maneuverability of a Space Vehicle Managed by Inertial Executive Bodies
Journal of Computer and Systems Sciences International ( IF 0.6 ) Pub Date : 2020-10-11 , DOI: 10.1134/s1064230720020094
M. V. Levskii

Abstract

The problem of increasing the maneuverability of a spacecraft (SC) by minimizing the duration of rotations around the center of mass is solved. The case is studied when the orientation is controlled using inertial actuators (power gyroscopes, gyrodynamics). The problem of the fastest possible turn of an SC using gyrodynes from an arbitrary initial angular position to the desired final angular position is considered in detail. Using the maximum principle of L.S. Pontryagin, as well as quaternion models and methods for solving the problems of controlling the motion of an SC, a solution to the problem is obtained. The conditions of the optimality of the reorientation mode without unloading the gyrosystem are written in an analytical form and the properties of the optimal motion are studied. Formalized equations and calculation expressions are presented for constructing an optimal control program taking into account the possible perturbations. The key relationships that determine the optimal values of the parameters of the rotation control law are given. The results of mathematical modeling of the motion of an SC with the optimal control are presented, demonstrating the practical feasibility of the developed algorithm for controlling the spatial orientation of an SC. A condition is formulated for determining the moment of the start of braking from measurements of the current motion parameters, which significantly increases the accuracy of bringing an SC into a predetermined resting position in the presence of restrictions on the control moment.



中文翻译:

关于改善惯性执行机构管理的航天器的机动性

摘要

解决了通过使围绕质心的旋转持续时间最小化来增加航天器(SC)的可操纵性的问题。当使用惯性致动器(动力陀螺仪,陀螺仪)控制方向时,将研究这种情况。详细考虑了使用陀螺仪从任意初始角位置到期望的最终角位置的SC最快可能的转向问题。利用LS Pontryagin的最大原理,以及四元数模型和方法来解决控制SC运动的问题,从而获得了该问题的解决方案。以解析形式写出了在不使陀螺仪系统卸载的情况下重新定向模式的最佳条件,并研究了最佳运动的性质。提出了形式化的方程式和计算表达式,以考虑到可能的扰动来构建最佳控制程序。给出了确定旋转控制律参数最佳值的关键关系。给出了具有最优控制的SC运动的数学建模结果,证明了所开发算法用于控制SC空间方向的实际可行性。提出了一种条件,该条件用于根据当前运动参数的测量值确定制动开始的力矩,这大大提高了在控制力矩存在限制的情况下将SC置于预定静止位置的准确性。

更新日期:2020-10-11
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