One of the most dangerous parts of the flight is the landing phase, as most accidents occur at this stage. In order to reduce the effect of the low-level wind shear on the longitudinal motion of the aircraft in the glide path landing mode (task) a robust H- control is proposed. Dynamic models of the plane and wind shear are built. H₂ and H_∞ synthesis methods are investigated for the task of aircraft flight control in a vertical plane during landing under conditions of undefined disturbances. Both control methods allow to reduce height deviation significantly. However, suboptimal control H_∞ provides better quality of transition processes both in height and speed than optimal control H₂. The results of simulation of the synthesized system confirm the effectiveness of H_∞ - control for increasing robust stability to uncertainties caused by wind disturbances.