This study aims at the flexible landing control problem of vertical take-off and landing UAV. A control method based on Model Reference Adaptive Control (MRAC) is designed and verified to ensure the stability of the UAV when landing on the moving platform and reduce control errors and dynamic instability caused by bouncing. By establishing a mathematical model including landing gear stiffness and damping parameters, and combining it with MRAC for adaptive parameter adjustment, the system can adapt to different landing conditions in real time, ensuring the stability and feasibility of flexible landing. This study conducted experimental tests on multiple sets of stiffness and damping parameters and analyzed the effectiveness of the MRAC control strategy under different configurations through numerical simulation. Experimental results show that when the stiffness and damping configuration are appropriate, MRAC can quickly adjust the control parameters, so that the time domain response characteristics of the UAV tend to be stable when landing, and the loss function shows a decreasing trend, proving that the control method has good convergence characteristics and adaptability. This study analyzes the MRAC parameter adjustment process through game theory and proves that the system can achieve Nash equilibrium under certain conditions, making each landing gear control strategy optimal and further improving landing stability. In order to verify the feasibility of MRAC control in practical applications, this study also considered the effects of sensing errors and random noise. The results show that the method can still successfully converge, demonstrating its robustness under different environmental conditions. This study confirms the applicability of MRAC in the flexible landing control of UAV and provides a theoretical basis for the future development of dynamic stiffness and damping adaptation mechanisms.