Convex Optimization for Rendezvous and Proximity Operation via Birkhoff Pseudospectral Method

Rapid and accurate rendezvous and proximity operations for spacecraft are crucial to the success of most space missions. In this paper, a sequential convex programming method, combined with the first-order and second-order Birkhoff pseudospectral methods, is proposed for the autonomous rendezvous an...

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Bibliographic Details
Published in:Aerospace 2022-09, Vol.9 (9), p.505
Main Authors: Zhang, Zhiwei, Zhao, Dangjun, Li, Xianbin, Kong, Chunyang, Su, Ming
Format: Article
Language:English
Subjects:
Accuracy
Birkhoff pseudospectral method
close-range rendezvous
computational efficiency
Computational geometry
Convex analysis
convexification
Convexity
Efficiency
Linear algebra
Mathematical programming
Methods
Optimization
Optimization techniques
Proximity
sensitivity analysis
Space missions
Space rendezvous
Space ships
Space vehicles
Spacecraft
Spectral methods
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Summary:Rapid and accurate rendezvous and proximity operations for spacecraft are crucial to the success of most space missions. In this paper, a sequential convex programming method, combined with the first-order and second-order Birkhoff pseudospectral methods, is proposed for the autonomous rendezvous and proximity operations of spacecraft. The original nonlinear and nonconvex close-range rendezvous problem with thrust constraints and no-fly zone constraints is converted into its convex version by using the sequential convexification techniques; then, the Birkhoff pseudospectral method is used to transcribe the dynamic constraints into a series of linear algebraic equality constraints, in other words, a convex second-order conic programming problem with a relatively small condition number. Thus, the resulting problem can be accurately and efficiently solved by a convex solver. The simulation results indicate that the proposed methods, especially the second-order Birkhoff pseudospectral method, have obvious advantages over other methods in computational efficiency and sensitivity.
ISSN:2226-4310
2226-4310
DOI:10.3390/aerospace9090505