International audienceThis paper addresses the trajectory tracking problem for VTOL UAVs in which the thrust vector can be delivered only in a fixed direction with respect to the aircraft frame. The proposed control law, based on an inner-outer loop strategy, guarantees robust tracking of a desired position trajectory. The attitude error dynamics, associated to the inner loop, is stabilized by a control torque that does not cancel non-harmful nonlinearities and that tracks at the same time a desired heading direction. This choice results in a non-autonomous feedback interconnection between the attitude and position loops, the stability of which is studied within the framework of differential inclusions. The proposed control force accounts f...