Robust Prescribed-Time Global Control For the Elliptical Orbital Rendezvous System: A Fully Actuated System Approach

The robust prescribed-time global control for the elliptical orbital rendezvous system is investigated under a class of time-varying disturbances. The elliptical orbital rendezvous system formulated by Newton’s equation turns out to be a fully actuated system (FAS), thereby the idea of FAS approaches is applied to facilitate the controller design. Based on the parametric Lyapunov equation, a time-varying high-gain feedback is constructed such that the target spacecraft is captured successfully by the arbitrarily positioned chaser spacecraft within any prescribed time, that is, the origin of the closed-loop system is globally finite-time attractive within any prescribed time. In the absence of disturbances, the closed-loop system is strengthened to be globally finite-time stable with any prescribed time. Notably, the attractive result of the perturbed system implies the globally almost disturbance decoupling to such a class of disturbances. Comparative simulations verify the effectiveness of our approach.