Robust Data-Driven Attitude Control for Satellite Using Koopman Operator Theory

This paper studies the synthesis of robust control for a satellite attitude control system without pre-knowledge of model dynamics. First, by exploring the time-series data of satellite angular velocity, a lifted discrete-time linear system is constructed using Koopman operator theory and extended dynamic mode decomposition. This system provides an explanation for a finite measurement history. Second, an
$\mathcal{H}_\infty$
controller is designed to attenuate the effect of external disturbances and approximation errors during the stabilization process. The proposed methodology is able to guarantee the robustness performance. Finally, numerical simulations are performed to validate the effectiveness of the proposed method.