仅使用电磁驱动的轨道卫星模型的可控性研究
On the Controllability of an Orbiting Satellite Model with Electromagnetic-only Actuation
AI总结：
本文研究仅靠磁力矩器驱动的圆轨道卫星姿态控制问题，在刚体质量分布的自然假设下，利用李代数秩条件和Sussmann条件证明了相对平衡点附近的小时间局部可控性，并指出线性化系统在该平衡点邻域内不可控。
摘要：
本文给出了一个控制仿射系统的小时间局部可控性的充分条件，该系统描述了圆轨道上卫星的旋转运动。卫星被建模为受电磁驱动作用的刚体。我们关注欠驱动情形，其中控制力矩仅由磁力矩器产生。本文的主要贡献包括：在关于刚体质量分布的某些自然假设下，证明了相对平衡点附近的小时间局部可控性。该结果基于李代数秩条件和Sussmann可控性条件。此外，还证明了在所考虑的平衡点的邻域内，线性化系统是不可控的。
英文摘要：
This paper presents sufficient conditions for small-time local controllability of a control-affine system that describes the rotational motion of a satellite in a circular orbit. The satellite is modeled as a rigid body subject to electromagnetic actuation. We focus on the underactuated scenario where the control torque is generated solely by magnetorquers. The main contributions of this work include proving small-time local controllability around the relative equilibrium under some natural assumptions on the mass distribution of the rigid body. This result is based on the Lie algebra rank condition and Sussmann's controllability condition. Furthermore, it is shown that the linearized system is not controllable in a neighborhood of the considered equilibrium.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
