A Model Predictive Controller (MPC) is proposed for rendezvous with non-cooperative tumbling targets in space debris removal applications. The controller considers rotational dynamics and constraints, ensuring stability and feasibility. MPC has been extensively studied for spacecraft rendezvous and formation flying, offering robustness and stability guarantees. The proposed control algorithm performs well in simulation scenarios, showing promise for real-world applications. Constraints, including LOS constraints, are handled efficiently by the controller. The design of the controller involves terminal controllers based on LQR and dead-beat regions to ensure safe operations. Feasibility constraints are derived to guarantee stable tracking of equilibrium trajectories. The controller's efficiency and safety make it suitable for embedded systems in space missions.
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