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Main Authors: Wang, Kun, Chen, Zheng, Lu, Fangmin, Li, Jun
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2402.12920
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author Wang, Kun
Chen, Zheng
Lu, Fangmin
Li, Jun
author_facet Wang, Kun
Chen, Zheng
Lu, Fangmin
Li, Jun
contents This paper addresses an optimal guidance problem concerning the vertical landing of a lunar lander with the objective of minimizing fuel consumption. The vertical landing imposes a final attitude constraint, which is treated as a final control constraint. To handle this constraint, we propose a nonnegative small regularization term to augment the original cost functional. This ensures the satisfaction of the final control constraint in accordance with Pontryagin's Minimum Principle. By leveraging the necessary conditions for optimality, we establish a parameterized system that facilitates the generation of numerous optimal trajectories, which contain the nonlinear mapping from the flight state to the optimal guidance command. Subsequently, a neural network is trained to approximate such mapping. Finally, numerical examples are presented to validate the proposed method.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12920
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Neural-Network-Based Optimal Guidance for Lunar Vertical Landing
Wang, Kun
Chen, Zheng
Lu, Fangmin
Li, Jun
Optimization and Control
This paper addresses an optimal guidance problem concerning the vertical landing of a lunar lander with the objective of minimizing fuel consumption. The vertical landing imposes a final attitude constraint, which is treated as a final control constraint. To handle this constraint, we propose a nonnegative small regularization term to augment the original cost functional. This ensures the satisfaction of the final control constraint in accordance with Pontryagin's Minimum Principle. By leveraging the necessary conditions for optimality, we establish a parameterized system that facilitates the generation of numerous optimal trajectories, which contain the nonlinear mapping from the flight state to the optimal guidance command. Subsequently, a neural network is trained to approximate such mapping. Finally, numerical examples are presented to validate the proposed method.
title Neural-Network-Based Optimal Guidance for Lunar Vertical Landing
topic Optimization and Control
url https://arxiv.org/abs/2402.12920