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Trajectory Optimization for Lunar Hover Hop with Multi Constraints
- CHEN Shangshang1,2, GUAN Yifeng1,2, HUANG Xiangyu1,2
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1. Beijing Institute of Control Engineering, Beijing 100094, China;
2. National Key Laboratory Science and Technology on Space Intelligent Control, Beijing 100094, China
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History
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Received |
Revised |
Published |
16 Jan 2023 |
13 Mar 2023 |
26 Mar 2024 |
Issue Date |
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26 Mar 2024 |
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Abstract
The multi-constrained trajectory of minimal fuel consumption was achieved in this paper for the lunar hover hop without lateral thrusters. The hover hop was divided to 3 phases: the vertical rise, the horizontal traverse and the vertical descent. The optimal control of the vertical rise and the vertical descent was bang-bang function. For the first time the control variable of the horizontal traverse was converted from thrust to angle rate, with position, velocity and angle rate considered. The preliminary form of the optimal angle rate for the horizontal traverse was developed by application of the Pontryagin’s minimum principle. With further study on the continuity of the singular point and the number of switching times of the control variable, it was confirmed that the optimal angle rate program consisted of either the maximum or the minimum and there were 2 switchings. A numerical approach to searching the switching points was presented. Simulation results show that the approach with high accuracy and low complexity can potentially be implemented onboard for trajectory optimization.
Keywords
multi constrained /
hover hop /
Pontryagin’s minimum principle /
trajectory optimization
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CHEN Shangshang, GUAN Yifeng, HUANG Xiangyu.
Trajectory Optimization for Lunar Hover Hop with Multi Constraints. Journal of Deep Space Exploration, 2024, 11(1): 16‒23 https://doi.org/10.15982/j.issn.2096-9287.2024.20230005
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References
[1] MIDDLETON A,PASCHALL II S,COHANIM B. Small lunar lander/hopper performance analysis[C]//Proceedings of IEEE Aerospace Conference Proceedings. MT,USA:IEEE,2010.
[2] 张洪华,关轶峰,黄翔宇,等. 嫦娥三号着陆器动力下降的制导导航与控制[J]. 中国科学:技术科学,2014,44(4):377-384.
ZHANG H H,GUAN Y F,HUANG X Y,et al. Guidance navigation and control for Chang’e-3 powered descent[J]. Scientia Sinica Technologica,2014,44(4):377-384.
[3] 张洪华,关轶峰,程铭,等. 嫦娥四号着陆器制导导航与控制系统[J]. 中国科学:技术科学,2019,49(12):1418-1428.
ZHANG H H,GUAN Y F,CHENG M,et al. Guidance navigation and control for Chang’e-4 lander[J]. Scientia Sinica Technologica,2019,49(12):1418-1428.
[4] 张洪华,李骥,于萍,等. 嫦娥五号月面起飞上升制导导航与控制技术[J]. 中国科学:技术科学,2021,51(8):921-937.
ZHANG H H,LI J,YU P,et al. Guidance navigation and control technology for the lunar ascent vehicle of Chang’e-5 mission[J]. Scientia Sinica Technologica,2021,51(8):921-937.
[5] HUANG X Y,XU C,HU J C,et al. Powered-descent landing GNC system design and flight results for Tianwen-1 mission[J]. Astrodynamics,2022,6(1):3-16
[6] KOS L D,POLSGROVE T T,SOSTARIC R R,et al. Altair descent and ascent reference trajectory design and initial dispersion analyses[C]//Proceedings of AIAA Guidance,Navigation,and Control Conference. Toronto,Ontario Canada:AIAA,2010.
[7] 陈上上,关轶峰,于萍,等. 基于粒子群优化的月球陨石坑探测轨迹规划[J]. 深空探测学报(中英文),2020,7(3):271-277.
CHEN S S,GUAN Y F,YU P,et al. Trajectory planning for lunar crater exploration based on particle swarm optimization[J]. Journal of Deep Space Exploration,2020,7(3):271-277.
[8] LIU Y J,ZHU S Y,CUI P Y,et al. Hopping trajectory optimization for surface exploration on small bodies[J]. Advances in Space Research,2017,60(1):90-102.
[9] MA L,WANG K X,XU Z H,et al. Trajectory optimization for lunar rover performing vertical takeoff vertical landing maneuvers in the presence of terrain[J]. Acta Astronautica,2018,146:289-299.
[10] 王浩帆,张洪华,王泽国,等. 一种月球表面飞跃转移轨迹设计方法[J]. 中国空间科学技术,2021,41(2):112-124.
WANG H F,ZHANG H H,WANG Z G,et al. An optimal trajectory design for lunar surface hop[J]. Chinese Space Science and Technology,2021,41(2):112-124.
[11] MEDITCH J S. On the problem of optimal thrust programming for a lunar soft landing[J]. IEEE Transactions on Automatic Control,1964,9(4):477-484.