A perching maneuver is a kind of fierce pitching. An unmanned aerialvehicle （UAV） may probably be caught in saturation of the control moment of its elevators during such a process. A morphing mechanism is introduced to strengthen the capability of pitching control， and its corresponding controllers is discussed. Dynamic models of the longitudinal motion are generated at the beginning， and then T-S fuzzy models are obtained by trajectory linearization and tensor product transformation. According to Lyapunov stability theory and sum-of-square approach， polynomial fuzzy controllers meeting the constraints of control inputs are designed. After that， simulations of perching tasks are launched for both the rigid UAV and the morphing one. The results of simulations demonstrate that the morphing UAV has got its edge in maneuverability over the rigid one， and is more capable of suppressing the saturation of elevators.