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Multi-Equal-Collision-Probability-Cure Method for Convex Polygon-shape Spacecraft Safe Proximity Manoeuvres

Published online by Cambridge University Press:  27 September 2018

Wang Yi ,
Chen Xiaoqian ,
Ran Dechao ,
Ou Yangwei Open the ORCID record for Ou Yangwei [Opens in a new window] ,
Ni Qing  and
Bai Yuzhu
Wang Yi
Affiliation:
(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, People's Republic of China)
Chen Xiaoqian
Affiliation:
(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, People's Republic of China)
Ran Dechao
Affiliation:
(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, People's Republic of China)
Ou Yangwei
Affiliation:
(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, People's Republic of China)
Ni Qing
Affiliation:
(Manned Space System Research Center, Beijing 10000, People's Republic of China)
Bai Yuzhu*
Affiliation:
(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, People's Republic of China)
*
(E-mail: [email protected])
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Abstract

In this paper, the spacecraft close-range safe proximity problem is investigated. In the presence of a “chief” spacecraft, a Multi-Equal-Collision-Probability-Curve (MECPC) method is developed. The influence of the chief spacecraft with a convex polygon shape is considered and the chief spacecraft is divided into several small components. Each component generates a corresponding separate repulsive force and the superposition of these forces is regarded as the ultimate avoidance force. As a result, the proposed MECPC method not only improves the system robustness against control and navigation uncertainties but is also analytically validated in collision avoidance. The MECPC method solves the safe proximity problem in the presence of a convex polygon shape. In addition, an Improved Linear Quadratic Regulator (ILQR) is designed to track the expected trajectory. Numerical simulations are performed in a close-range operation environment to verify the effectiveness of the proposed MECPC method.

Keywords

Collision AvoidanceConvex ShapesClose-range ProximityCollision Probability DensityEqual Collision Probability Curve
Type
Research Article
Information
The Journal of Navigation , Volume 72 , Issue 2 , March 2019 , pp. 405 - 429
Copyright
Copyright © The Royal Institute of Navigation 2018 

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