A tracking model predictive control algorithm for rendezvous of tumbling targets in elliptical orbit

Regarding the robust trajectory planning and control of multi-constrained rendezvous for space tumbling targets in an elliptical orbit, a robust tracking model predictive control algorithm based on the "tube" is proposed. Firstly, the engineering constraints and uncertainties in the rendezvous process are analyzed and modeled, and the uncertainty propagation of the nominal system is quantified to obtain its compressed constraints. Then, a robust tracking model predictive rendezvous controller, consisting of a feedforward term and a feedback term, is designed. The feedforward term drives the system state to the target state with the least energy consumption and the best tracking accuracy. The feedback term ensures that the system still satisfies the engineering constraints under uncertainty. The digital simulation results indicate that the controller thus designed can successfully complete the elliptical orbit rendezvous task with a shorter prediction horizon and guaranteed stability. Compared with the classical robust model predictive control (MPC) algorithm, the proposed algorithm significantly reduces the computational complexity and has the advantages of autonomy, robustness and safety.