This paper proposes a multi-stage robust optimization(RO)method for the endoatmospheric powered descent problem of reusable rockets.Due to the unknown wind field in the atmosphere,it is of great significance to consider this uncertainty during the rocket descent phase.Firstly,a model of uncertain wind field with respect to altitude is established,and a robust optimal control problem for rocket powered descent is formulated under this wind field.To solve this problem,a tractable single-stage RO algorithm is developed by approximating the inequal-ity constraints using a first-order expansion and incorporating the first-order term as a safety margin.Secondly,an upper bound on the safety margin is quantitatively derived.Based on this upper bound,a multi-stage RO al-gorithm is proposed,which avoids the infeasibility problem caused by the excessively large safety margin in the single-stage RO algorithm.Finally,simulation results are presented to compare the performance of each algorithm under various actual wind fields.The results demonstrate that the proposed multi-stage RO method achieves both high landing accuracy and robustness against different wind fields.
关键词
大气层内动力下降/鲁棒优化/可回收火箭/制导与控制/不确定风场
Key words
Endoatmospheric powered descent/robust optimization(RO)/reusable rocket/guidance and control/uncertain wind field
维普
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