A High-Order Fully Actuated Predictive Control Approach for Spacecraft Flying-Around

This research investigates a spacecraft flying-around problem in a sight coordinate system. In this coordinate system, a nonlinear high-order fully actuated (HOFA) system model is adopted to establish the relative dynamics of spacecraft, such that the presented flying-around mission can be transformed into a tracking control problem of nonlinear HOFA systems. A HOFA predictive control approach is correspondingly proposed to implement this flying-around task. In this approach, the nonlinearities can be eliminated to construct a linear HOFA system because of full actuation characteristic, and then a linear incremental HOFA (LIHOFA) prediction model is constructed by applying a Diophantine equation to replace a reduced-order prediction model, such that the multi-step ahead predictions are developed to optimize the tracking control performance, which guarantees the realization of this flying-around mission. Further, two simulated examples of spacecraft flying-around are provided to verify the feasibility of HOFA predictive control approach.