Finite-time velocity-free prescribed performance control for Halo orbit autonomous rendezvous. (February 2021)

• Record Type: Journal Article
• Authors: Zheng, Dandan; Luo, Jianjun; Yin, Zeyang; Dang, Zhaohui
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 235:Number 2(2021)
• Page Start: 205
• Page End: 218
• Publication Date: 2021-02
• Subjects: Finite time -- relative position control -- libration point orbit rendezvous -- prescribed performance control; Aeronautics -- Periodicals; Astronautics -- Periodicals; Airplanes -- Design and construction -- Periodicals; Aerospace industries -- Periodicals; 629.1
• DOI: 10.1177/0954410020940892
• Languages: English
• ISSNs: 0954-4100

Abstract

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.