A system includes at least one upper flexible skin intended to be fixed in the extension of an upper plane of the wing, a lower flexible skin intended to be movable in the extension of a lower plane of the wing and fixed along a trailing edge of the control surface, an actuator for generating a displacement of the lower flexible skin with respect to the lower plane. The displacement causes a curvature of the first, upper flexible skin and a curvature of the second, lower flexible skin having a concavity oriented in a same direction. The control surface system makes it possible to reduce the quantity of energy supplied by the actuator.