In order to enhance the stability of the Mamdani fuzzy control system during normal operation，weaken and eliminate the unstable operation results caused by external interference signals,a stability control model of Mamdani fuzzy control system based on Lyapunov function was designed.By analyzing the characteristics of a Mamdani fuzzy control system,the state feedback controller was designed,the stability control coefficient of Lyapunov function was analyzed, and the simulation experiment of the fuzzy control system was carried out.The experimental results show that by using a Lyapunov function to construct the stability model of Mamdani fuzzy control system can reduce the external signal interference and achieve progressive stability.