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In this study, a real-time optimal control approach is proposed using an interactive deep reinforcement learning algorithm for the Moon fuel-optimal landing problem. Considering the remote communication restrictions and environmental uncertainties, advanced landing control techniques are demanded to meet the high requirements of real-time performance and autonomy in the Moon landing missions. Deep reinforcement learning (DRL) algorithms have been recently developed for real-time optimal control but suffer the obstacles of slow convergence and difficult reward function design. To address these problems, a DRL algorithm is developed using an actor-indirect method architecture to achieve the optimal control of the Moon landing mission. In this DRL algorithm, an indirect method is employed to generate the optimal control actions for the deep neural network (DNN) learning, while the trained DNNs provide good initial guesses for the indirect method to promote the efficiency of training data generation. Through sufficient learning of the state-action relationship, the trained DNNs can approximate the optimal actions and steer the spacecraft to the target in real time. Additionally, a nonlinear feedback controller is developed to improve the terminal landing accuracy. Numerical simulations are given to verify the effectiveness of the proposed DRL algorithm and demonstrate the performance of the developed optimal landing controller.

Publication history
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Acknowledgements

Publication history

Received: 02 January 2019
Accepted: 14 January 2019
Published: 09 July 2019
Issue date: December 2019

Copyright

© Tsinghua University Press 2019

Acknowledgements

Acknowledgements This work is supported by the National Natural Science Foundation of China (Grants Nos. 11672146 and 11432001).

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