Optimal robust linearized impulsive rendezvous
Optimal robust linearized impulsive rendezvous
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DOI：
10.1016/j.ast.2007.04.001
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发表时间：
2007-11
影响因子：
5.6
通讯作者：
G. Tang;Ya-zhong Luo;Haiyang Li
中科院分区：
文献类型：
--
作者：
G. Tang;Ya-zhong Luo;Haiyang Li
研究了具有控制不确定性的定时线性脉冲交会的优化问题。定义了一个与终端状态误差方差有关的性能指标作为鲁棒性性能指标，并采用线性协方差法计算了该指标。基于Clohessy-Wiltshire（C-W）系统，建立了最小化总特征速度和鲁棒性能指标的双目标优化问题，并采用非支配排序遗传算法进行求解。给出了某次寻的交会使命的Pareto最优解集，并通过与燃料最优解和鲁棒性最优解的比较，验证了Pareto最优解的有效性。结果表明，该方法不仅可以快速评估不同交会机动方案，而且可以快速分析燃料消耗与轨道鲁棒性之间的关系。
The optimization of time-fixed linearized impulsive rendezvous with control uncertainty is investigated. One performance index related to the variances of the terminal state error is defined as the performance index of robustness which is calculated by linear covariance method. The two-objective optimization problem of minimizing the total characteristic velocity and the performance index of robustness is formulated based on the Clohessy–Wiltshire (C-W) system and solved by the nondominated sorting genetic algorithm. The Pareto-optimal solution sets of one homing rendezvous mission are provided and the Pareto optimality is verified by comparing with the fuel-optimal and the robustness-optimal solutions. It is shown that the proposed approach can quickly investigate the relation between the fuel cost and the trajectory robustness, besides evaluate different rendezvous maneuver schemes.