Predefined-time fault-tolerant control for rigid spacecraft attitude tracking maneuver with asymmetrical full-state performance constraints

Abstract

In this paper, a predefined-time fault-tolerant control scheme is proposed for rigid spacecraft attitude tracking systems with full-state performance constraints. By employing the asymmetrical time-varying integral barrier Lyapunov function, an attitude controller is developed to ensure both attitude and angular velocity tracking errors are stabilized under preset performance constraints within a predefined time. Unlike existing prescribed performance methods, the designed controller allows for direct and arbitrary presetting of the performance boundary for angular velocity tracking error, making it suitable for scenarios where the angular velocity tracking error boundary is stricter than that of the attitude tracking error. To address the lumped perturbation arising from external disturbances, inertia uncertainties and actuator faults, a predefined-time disturbance observer based on a tracking differentiator is firstly proposed. Notably, the commonly used boundedness assumption for the lumped perturbation is sidestepped by using the designed disturbance observer. Comparative numerical simulations are given to substantiate the effectiveness and superiority of the proposed control scheme.