Long-span bridges are significantly affected by wind and storm-induced forces, making it essential to develop effective measures to enhance their aerodynamic stability. In addition to mechanical control methods, aerodynamic approaches have gained increasing attention due to their advantage of requiring minimal additional mass, as the auxiliary wings are relatively lightweight. This paper proposes a novel aerodynamic control configuration aimed at increasing the critical flutter wind speed. In the proposed design, winglets are attached to the suspension cables and rigidly connected to the bridge deck. The equations of motion are formulated using the Lagrangian method, and the Step-by-step approach is employed to determine the flutter frequency and logarithmic damping. Numerical simulations demonstrate the effectiveness of the proposed solution. The findings offer practical applicability to real-world bridge designs.