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Optimal Rotation Sequences in Presence of Constraints on Admissible Rotation Axes

机译：容许旋转轴上存在约束的最优旋转序列

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摘要

In underactuated conditions, satellite attitude actuators can deliver a control torque with two components only. The paper develops a general solution for the problem of attitude maneuver planning for underactuated spacecraft by means of a sequence of N admissible rotations, where a rotation is considered to be admissible if it takes place around an axis which lies on the plane where the actuator system can deliver a control torque. An exact solution for the sequence of two feasible rotations that provides a desired reorientation is derived, where the minimum angular-path sequence can also be identified analytically. The optimal sequence for a higher number of steps is obtained by means of a numerical optimization procedure. The features of the optimal sequences for increasing values of N are investigated in order to obtain a better understanding of their characteristics.
机译：在欠驱动状态下，卫星姿态致动器仅可通过两个组件提供控制扭矩。本文通过一系列N次可允许的旋转，为欠驱动航天器的姿态机动计划问题提出了一个通用的解决方案，其中，如果绕围绕致动器系统所在平面上的轴发生旋转，则认为该旋转是可允许的可以提供控制扭矩。得出了两个可行旋转的序列的精确解，该序列提供了所需的重新定向，其中最小角度路径序列也可以通过分析确定。借助数值优化程序可以获得更多步骤的最佳顺序。为了增加对N值的了解，对增加N值的最佳序列的特征进行了研究。

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  • 来源
    《Journal of guidance, control, and dynamics》 |2011年第2期|p.554-563|共10页
  • 作者

    Giulio Avanzini; Luca Berardo; Fabrizio Giulietti; Edmondo A. Minisci;

  • 作者单位

    Politecnico di Torino, 10129 Turin, Italy,Department of Aerospace Engineering, C.so Duca degli Abruzzi 24;

    Politecnico di Torino, 10129 Turin, Italy,Department of Aerospace Engineering, C.so Duca degli Abruzzi 24;

    University of Bologna, 47100 Forli, Italy,Department of Mechanical and Aerospace Engineering, Via Fontanelle 40;

    University of Glasgow, Glasgow, Scotland G12 8QQ, U.K,Department of Aerospace Engineering, James Watt South Building;

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