The attitude and speed of the drone are controlled by angular commands applied to a control loop (120) for controlling the engines of the drone according to the pitch and roll axes. A dynamic model of the drone, including, in particular, a Kalman predictive filter, represents the horizontal speed components of the drone on the basis of the drone mass and drag coefficients, the Euler angles of the drone relative to an absolute terrestrial reference, and the rotation of same about a vertical axis. The acceleration of the drone along the three axes and the relative speed of same in relation to the ground are measured and applied to the model as to estimate (128) the horizontal speed components of the cross wind. This estimation can be used to generate corrective commands (126) that are combined with the angular commands applied to the control loop of the drone in terms of pitch and roll.
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