Stable Model Predictive Strategy for Rendezvous Hovering Phases Allowing for Control Saturation

Abstract : This paper presents a model predictive control strategy for the hovering phases of the impulsive spacecraft rendezvous problem producing a convergent sequence of relative trajectories, even under propellers saturation constraints. Adopting a linearized dynamics for the relative spacecraft dynamics , we present a parametrization of the relative trajectories. This parametrization and the constraints describing the hovering zones are employed in the formulation of the impulsive fuel-optimal control strategy, which is then proved to be stable. Numerical methods are proposed to solve the optimization problems characterizing each call of the controller. Finally, hardware-in-the-loop simulations using a synthesized LEON3 microprocessor and linear and disturbed nonlinear models for the relative dynamics are performed to assess the efficiency and robustness of the proposed approach.
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Paulo Ricardo Arantes Gilz, Mioara Joldes, Christophe Louembet, Frédéric Camps. Stable Model Predictive Strategy for Rendezvous Hovering Phases Allowing for Control Saturation. Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics, 2019, 42 (8). ⟨hal-01678768v2⟩

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