Fully Actuated System Approach of Prescribed-Time Spacecraft Elliptical Orbital Rendezvous

This paper investigates the prescribed-time control design problem of linear time-varying spacecraft rendezvous system. First, linear time-varying spacecraft rendezvous system is transformed into a linear periodic system. Second, this linear periodic system is simplified into a linear time-invariant system through fully actuated system approach. Third, the composite linear periodic delay feedback control is designed for this linear time-invariant system by periodic delay feedback control method. Under the obtained composite linear periodic delay feedback control, the s-pacecraft rendezvous mission can be successfully accomplished within the prescribed time. Finally, a practical spacecraft rendezvous example is provided to show the effectiveness and practicability of the proposed nonlinear periodic delay feedback control design approach.