On-Orbit Verification of RL-Based APC Calibrations for Micrometre Level Microwave Ranging System

Author:

Wang Xiaoliang1ORCID,Liu Xuan2,Xiao Yun3,Mao Yue3,Wang Nan4,Wang Wei1,Wu Shufan1,Song Xiaoyong3,Wang Dengfeng2,Zhong Xingwang2,Zhu Zhu5,Schilling Klaus6,Damaren Christopher7

Affiliation:

1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, East Dongchuan Rd. No. 800, Shanghai 200240, China

2. Institute of Space Radio Technology, Xi’an 710100, China

3. Xi’an Research Institute of Surveying and Mapping, Xi’an 710054, China

4. University of Michigan—Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200240, China

5. Shanghai Institute of Satellite Engineering, Shanghai 200240, China

6. Informatics VII: Robotics and Telematics, Julius-Maximilians-University, 97070 Würzburg, Germany

7. Institute for Aerospace Studies, University of Toronto, Toronto, ON M1C 1A4, Canada

Abstract

Micrometre level ranging accuracy between satellites on-orbit relies on the high-precision calibration of the antenna phase center (APC), which is accomplished through properly designed calibration maneuvers batch estimation algorithms currently. However, the unmodeled perturbations of the space dynamic and sensor-induced uncertainty complicated the situation in reality; ranging accuracy especially deteriorated outside the antenna main-lobe when maneuvers performed. This paper proposes an on-orbit APC calibration method that uses a reinforcement learning (RL) process, aiming to provide the high accuracy ranging datum for onboard instruments with micrometre level. The RL process used here is an improved Temporal Difference advantage actor critic algorithm (TDAAC), which mainly focuses on two neural networks (NN) for critic and actor function. The output of the TDAAC algorithm will autonomously balance the APC calibration maneuvers amplitude and APC-observed sensitivity with an object of maximal APC estimation accuracy. The RL-based APC calibration method proposed here is fully tested in software and on-ground experiments, with an APC calibration accuracy of less than 2 mrad, and the on-orbit maneuver data from 11–12 April 2022, which achieved 1–1.5 mrad calibration accuracy after RL training. The proposed RL-based APC algorithm may extend to prove mass calibration scenes with actions feedback to attitude determination and control system (ADCS), showing flexibility of spacecraft payload applications in the future.

Funder

Shanghai Nature Science Fund

Shanghai Jiao Tong University Global Strategic Partnership Fund

National Key R&D Program of China

Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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