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

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.

Fast fixed‐time attitude tracking control of spacecraft with prescribed performance

“…On the other hand, the adjustment function 𝜙(y) in (11) can also accelerate system's stabilization rate when the system state is far away the origin. As a result, the simulation result is consistent with the conclusion of the analysis given by ( 19)- (22). ▪ Remark 1.…”

“…similarly, one can conclude T s − T z2 < 0 from (22). Further, subtracting T z1 from T z2 , one can conclude T z2 < T z1 .…”

“…But, these control schemes can only guarantee the asymptotic stability of the controlled system. To complete the autonomous rendezvous target, 22 a finite‐time prescribed performance function‐based control scheme was presented. A fixed‐time spacecraft formation control scheme was developed for the spacecrafts with prescribed performance constraint and actuator saturation 23 .…”