论文标题
柔性航天器的仿真和最佳控制的多重变异方法
A multirate variational approach to simulation and optimal control for flexible spacecraft
论文作者
论文摘要
我们提出了一种最佳控制方法，用于同时进行弹性航天器的振动控制和振动控制。考虑到不同时间尺度上的动力学，最佳控制问题是在微观和宏观时间网格上使用多条变异方法离散的。系统的描述和必要的最佳条件是通过离散的Lagrange-D'AlemberT原理得出的。离散问题保留了连续模型的保护特性，并以降低的计算成本实现了高保真度模拟。单轴旋转操作的仿真结果表现出振动的抑制作用，并在降低的计算成本下达到了与单次速率方法相同的准确性。
We propose an optimal control method for simultaneous slewing and vibration control of flexible spacecraft. Considering dynamics on different time scales, the optimal control problem is discretized on micro and macro time grids using a multirate variational approach. The description of the system and the necessary optimality conditions are derived through the discrete Lagrange-d'Alembert principle. The discrete problem retains the conservation properties of the continuous model and achieves high fidelity simulation at a reduced computational cost. Simulation results for a single-axis rotational maneuver demonstrate vibration suppression and achieve the same accuracy as the single rate method at reduced computational cost.
