Terminal spacecraft rendezvous and capture with LASSO model predictive control

摘要

The recently investigated ?_(asso) model predictive control (MPC) is applied to the terminal phase of a spacecraft rendezvous and capture mission. The interaction between the cost function and the treatment of minimum impulse bit is also investigated. The propellant consumption with ?_(asso) MPC for the considered scenario is noticeably less than with a conventional quadratic cost and control actions are sparser in time. Propellant consumption and sparsity are competitive with those achieved using a zone-based ?_1 cost function, whilst requiring fewer decision variables in the optimisation problem than the latter. The ?_(asso) MPC is demonstrated to meet tighter specifications on control precision and also avoids the risk of undesirable behaviours often associated with pure ?_1 stage costs.