Finite-time velocity-free prescribed performance control for Halo orbit autonomous rendezvous

This paper studies the problem of autonomous rendezvous in the libration point orbit without relative velocity measurement information. The proposed rendezvous algorithm consists of the finite-time-convergent differentiator and the finite-time prescribed performance controller. Wherein, the differen...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part G, Journal of aerospace engineering Journal of aerospace engineering, 2021-02, Vol.235 (2), p.205-218
Main Authors: Zheng, Dandan, Luo, Jianjun, Yin, Zeyang, Dang, Zhaohui
Format: Article
Language:English
Subjects:
Algorithms
Control algorithms
Control theory
Controllers
Convergence
Differentiators
Lagrangian equilibrium points
Liapunov functions
Libration
Orbital rendezvous
Robust control
Space rendezvous
Velocity measurement
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Summary:This paper studies the problem of autonomous rendezvous in the libration point orbit without relative velocity measurement information. The proposed rendezvous algorithm consists of the finite-time-convergent differentiator and the finite-time prescribed performance controller. Wherein, the differentiator is used to compute the unknown relative velocity between the target and the chaser spacecraft. The novel differentiator-based finite-time prescribed performance controller ensures that the rendezvous error converges to an arbitrarily small prescribed region in finite time in spite of the presence of additive bounded disturbances. Furthermore, the prescribed convergence rate can be also achieved simultaneously. The associated stability proof is constructive and accomplished by the development of a Lyapunov function candidate. Numerical simulations on a final rendezvous approach example are provided to demonstrate the effectiveness and robustness of the proposed control algorithm.
ISSN:0954-4100
2041-3025
DOI:10.1177/0954410020940892