The fuel supply principle of a highspeed heatairflow trial system was introduced. According to the problems such as time delay, timevariant parameters, interference and so on exist in the fuel supply system, Fuzzy PID predictive (LevFuzzyPID) algorithm and slidingmode predictive (SDMC) algorithm were used to realize the accurate control of the fuel flowrate.The experimental results show that when uses the LevFuzzyPID algorithm and SDMC algorithm to achieve the control of the fuel flowrate, the control effect is the best, DMC and FuzzyPID algorithm are followed, and PID controller is the worst.