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Time-optimal reorientation of the rigid spacecraft using a pseudospectral method integrated homotopic approach

机译：使用伪谱方法和同位论方法对刚性航天器进行时间最优定向

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This paper proposes a robust algorithm for time-optimal rigid spacecraft reorientation trajectory generation. Based on the Pontryagin's maximum principle, the first-order necessary optimality conditions are derived. These optimality conditions are numerically satisfied by adopting a pseudospectral method integrated homotopic approach to solve the associated shooting functions. First, the energy-optimal reorientation solution is obtained using the Radau pseudospectral method, which has a spectral convergence speed and can give a precise estimation of the initial costates used to start the homotopic approach. Then, a modified homotopy scheme is given to deform the associated energy-optimal solution to the desired time-optimal solution continuously. Finally, for the inertially symmetric spacecraft reorientation problem, the newly found time-optimal solutions are presented. The performance of the algorithm is illustrated by simulating a general asymmetric rigid spacecraft time-optimal reorientation problem. Copyright (C) 2014 John Wiley & Sons, Ltd.
机译：本文提出了一种鲁棒的时间最优刚性航天器重定位轨迹生成算法。基于蓬特里亚金的最大原理，推导了一阶必要最优性条件。通过采用伪谱方法集成同位论方法解决关联的拍摄功能，可以在数值上满足这些最优条件。首先，使用Radau伪光谱方法获得能量最佳的重新定向解决方案，该方法具有光谱收敛速度，并且可以精确估计用于启动同位异构方法的初始化合物。然后，给出修改的同伦方案，以将相关联的能量最优解连续变形为所需的时间最优解。最后，针对惯性对称的航天器重新定向问题，提出了新发现的时间最优解。通过模拟一般的非对称刚性航天器时间最优重定向问题来说明算法的性能。版权所有（C）2014 John Wiley＆Sons，Ltd.

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