<p>This paper investigates the automatic carrier landing control problem considering output constraints, actuator saturation, and airwake disturbances. A flexible predefined-time prescribed performance control (FPTPPC) is proposed to reconcile the conflict between output constraints and actuator saturation. First, a predefined-time prescribed performance function is designed to guarantee that the output errors converge within a user-specified time independent of initial conditions, while ensuring that both transient and steady-state performance satisfy the requirements. An error transformation is then introduced to convert the constrained domain into an equivalent unconstrained form. Subsequently, a nonsingular fast terminal integral sliding mode controller is developed to enhance the aircraft’s capability in suppressing airwake disturbances. To prevent singularities in the prescribed performance control caused by boundary violations due to actuator saturation, a flexible adjustment mechanism is embedded into the prescribed performance function (PPF). This mechanism adaptively adjusts local PPF during saturation, ensuring global landing accuracy and avoiding controller failure. Furthermore, an auxiliary system is designed to maintain stability under actuator saturation. A predefined-time reference model is intentionally introduced to eliminate the differential explosion of the command signal inherent in conventional backstepping control, and a predefined-time observer is developed to estimate and compensate for external disturbances. Finally, the effectiveness and superiority of the proposed FPTPPC have been verified through simulation experiments. Compared with dynamic inverse control, predefined-time control, and prescribed performance control, the proposed method reduces the path following errors and improves landing accuracy.</p>