Abstract:This paper addresses the finite-time control problem for attitude regulation of flexible satellites by proposing a novel fractional-order finite-time control scheme. First, considering challenges including system model uncertainties, external disturbance torques, and flexible deformation effects, a fractional-order finite-time controller is designed to enhance convergence rate, steady-state accuracy, and robustness. Second, the stability proof procedure is simplified through structural modifications to the Lyapunov function, with rigorous finite-time stability verification achieved via Lyapunov analysis. Finally, numerical simulations demonstrate the effectiveness of the proposed method. Results show that the controller significantly improves steady-state precision and convergence speed while exhibiting superior disturbance rejection capabilities, enabling effective operation in complex space environments with multiple interference factors.