This work is devoted to prove that the nonlinear control scheme previously proposed by the (2nd, 3rd, & 5th) authors for the global stabilization of the PVTOL aircraft with bounded inputs neglecting the lateral force coupling, is robust with respect to the parameter characterizing such a lateral force coupling, ε, as long as such a parameter takes small enough values. In other words, global stabilization is achieved even if ε> 0, provided that such a parameter be sufficiently small. As far as the authors are aware, such a property has not been proved in other existing control schemes when the value of ε is not known. The presented methodology is based on the use of embedded saturation functions. Furthermore, experimental results of the control algorithm implemented on a real prototype are presented.