Abstract—

This paper presents a method for locally optimal control of the thrust vector of the electric propulsion system (EPS) for a spacecraft that performs a multiturn interorbital transfer from the initial elliptical orbit into a geostationary orbit (GSO). The control represents the time dependences of the angles that characterize the EPS thrust vector orientation in space. Here, it is assumed that the EPS is always on. The proposed control algorithm belongs to the class of feedback control algorithms and is based on using the Lyapunov functions. Numerical examples are presented, which characterize the operability of the proposed control technique. Considerable attention is paid to the comparison of given solutions with the optimal solutions obtained within the framework of the maximum principle formalism.

中文翻译：

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使用 Lyapunov 函数计算低推力轨道间转移过程中推力矢量的局部最优控制

摘要-

本文提出了一种对航天器的电力推进系统 (EPS) 推力矢量进行局部优化控制的方法，该航天器执行从初始椭圆轨道到地球静止轨道 (GSO) 的多圈轨道间转移。该控制表示表征空间中 EPS 推力矢量方向的角度的时间依赖性。在此，假设 EPS 始终开启。所提出的控制算法属于反馈控制算法类，基于使用李雅普诺夫函数。给出了数值例子，它们表征了所提出的控制技术的可操作性。相当重视给定解与在最大原理形式主义框架内获得的最优解的比较。