Abstract

The stabilization of the relative equilibrium of a satellite moving in a circular orbit, which is equipped with magnetic orientation system. It is shown that the linearized system of equations of motion belongs to a special class of linear time-varying systems, reducible to time-invariant ones. For obtained time-invariant system, controllability is analyzed, and the optimal stabilization algorithm based on the LQR method is constructed. The results of numerical simulation demonstrate the efficiency of the proposed approach.

中文翻译：

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利用磁矩的卫星控制：可控性和稳定算法

摘要

装有磁定向系统的绕圆形轨道运动的卫星的相对平衡的稳定。结果表明，运动方程的线性化系统属于一类线性时变系统，可以简化为时不变系统。针对获得的时不变系统，分析了系统的可控性，构造了基于LQR方法的最优稳定算法。数值仿真结果证明了该方法的有效性。