This work presents a novel control strategy for a tightly coupled planar vertical takeoff and landing (PVTOL) system using a fixed-time sliding mode controller (FTSMC). The PVTOL is modeled considering its three degrees of freedom, highlighting the nonlinear complexity arising from using a steerable thruster, which controls both the position and rotation of the vehicle. Unlike traditional models, this PVTOL requires robust control to maintain a hover and stability in all directions. The FTSMC guarantees fixed-time convergence, significantly improving stability and disturbance rejection compared to conventional methods. Numerical simulations confirm that this approach provides faster and more accurate PVTOL control, positioning it as an effective solution for unmanned aerial vehicle (UAV) applications operating in complex environments and demanding high reliability.