Koopman-Operator-Based Model Predictive Control for Drag-free Satellite

This paper presents a data-driven modelling method for nonlinear dynamics of drag-free satellite based on Koopman operator theory, and a model predictive controller is designed based on the identified model. The nonlinear dynamics of drag-free satellite are identified and controlled based on Sparse Identification of Nonlinear Dynamics (SINDy). Using the manually constructed nonlinear function dictionary as observables, the system approximation is obtained by SINDy algorithm, and a linear Model Predictive Control (MPC) controller is designed for test mass capture based on the SINDy model. Finally, the effectiveness of MPC control is verified by numerical examples.