Abstract: To design actual nonlinear systems through geometric approach, at first we need sweep away the obstacle such as complex transformation and great amount of calculations. Therefore it is important to make the design procedure simple and clear. In this paper we have obtained two methods based upon transformation idea’s and applied them in designing the vertical control system of F-8 Crusader Fighter. The smiulation results show the new control law wofks much better than former noplinear optiumal control law and makes high-angle-attack flight available.