Abstract With using the B-dot control law for magnetic detumbling, there will be no need for angular velocity measurements. The B-dot control law is a torque projection-based controller, however, it is not guaranteed to have the dipole moment orthogonal to the magnetic field, especially as the angular velocity gets smaller during detumbling, resulting in a suboptimal torque vector. This paper presents a new variant of the B-dot control. By computing an equivalent angular velocity, based on the magnetic field data, it is possible to develop a control law that guarantees the magnetic dipole moment to remain in the plane orthogonal to the ambient magnetic field. Using Monte Carlo simulations, the proposed B-dot control is compared to two other variants of B-dot control laws: a simple B-dot control and a recent variable gain B-dot control. The results show that the proposed B-dot control outperforms the other B-dot control laws in terms of the speed of detumbling and the power consumption.

中文翻译：

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航天器磁爆破B点控制的一种新变体

摘要 使用B-dot控制律进行磁力翻滚，无需进行角速度测量。B-dot 控制律是一种基于扭矩投影的控制器，然而，它不能保证偶极矩与磁场正交，尤其是在翻滚过程中角速度变小，从而导致次优扭矩矢量。本文介绍了 B 点控件的一种新变体。通过基于磁场数据计算等效角速度，可以制定控制律，以确保磁偶极矩保持在与环境磁场正交的平面内。使用蒙特卡罗模拟，将所提出的 B 点控制与 B 点控制法则的其他两种变体进行比较：简单的 B 点控制和最近的可变增益 B 点控制。