Robust distributed model predictive control for satellite cluster reconfiguration with collision avoidance

This article investigates a reconfiguration problem of the satellite cluster with collision avoidance. Focusing on the uncertain disturbances with upper bound, a tube-based auxiliary controller is designed, which can improve the robustness of actual satellite cluster system. Then, a distributed model predictive controller (DMPC) is proposed for the nominal system with thrust constraints. In DMPC, the terminal constraints and terminal control law based on velocity obstacle are designed to satisfy the collision avoidance. Furthermore, the stability and feasibility can be ensured by using optimized slack variable. In addition, to reduce fuel consumption and the actions of collision, an optimal allocation strategy for target points based on Hungarian algorithm is adopted. Finally, the numerical simulations are presented to verify the effectiveness and advantage of the proposed scheme.