The problem of minimizing wind perturbations using the control on the trailing edge of the airfoil is considered for an airfoil passing through a short wind gust. It is considered that the airfoil movement is bounded by two degrees of freedom, viz. in pitch and height, and each channel has an elastic spring that simulates torsional and bending stiffness of the wing. The study is held on the basis of the developed mathematical model for unsteady aerodynamic loads (the lift coefficient and the pitching moment) when a thin two-dimensional airfoil is flowed without separation by a flow of ideal incompressible fluid. The results obtained using this mathematical model and the conventional quasi-steady model on the basis of aerodynamic derivatives are compared. It is shown that the stability properties for the quasi-steady and unsteady aerodynamics models differ in a wide range of parameters of the airfoil movement considered. Moreover, taking into account the unsteadiness of aerodynamics when designing a control system allows us to suppress the wind perturbations more efficiently and counts when determining the requirements on the actuator rates necessary to suppress wind gusts of high amplitude.