论文标题
使用三个控件对轴对称刚性航天器的最小时间重新定位
Minimum-Time Reorientation of Axisymmetric Rigid Spacecraft Using Three Controls
论文作者
论文摘要
研究了由三个扭矩控制的轴对称刚性航天器的最低时间重新定位。对人体的方向进行建模，以使态度运动学代表自旋稳定的航天器。所考虑的最佳控制问题显示为开关控制结构。此外，在某些假设下，解决方案包含位于单数弧线的段。使用最近开发的方法进行数值优化研究，该方法旨在准确解决Bang-Bang和单数最佳控制问题。得出各种情况的最佳控制问题的最佳条件和分析。同样，将本研究获得的结果与文献中存在的先前方法进行了比较。确定了优化的轨迹和控制措施的关键特征，并显示了解决BANG-BANG和奇异最佳控制问题的上述方法，显示出有效，准确地解决所考虑的问题。
A minimum-time reorientation of an axisymmetric rigid spacecraft controlled by three torques is studied. The orientation of the body is modeled such that the attitude kinematics are representative of a spin-stabilized spacecraft. The optimal control problem considered is shown to have a switching control structure. Moreover, under certain assumptions, the solutions contain segments that lie on a singular arc. A numerical optimization study is performed using a recently developed method that is designed to accurately solve bang-bang and singular optimal control problems. The optimality conditions for the resulting optimal control problem are derived and analyzed for a variety of cases. Also, the results obtained in this study are compared to a previous method existing in the literature. The key features of the optimized trajectories and controls are identified, and the aforementioned method for solving bang-bang and singular optimal control problems is shown to efficiently and accurately solve the problem under consideration.
