The traditional control methods are not able to keep control performance in a high level because response speed becomes more important for industrial control. This paper presented a fast predictive control algorithm, which was easy and simple to calculate and the principle of algorithm was very clear and greatly improved the speed of response and calculation, as well as demonstrated the principles of fast algorithms and operation process of the algorithm. Finally, we analyzed the stability, dynamic characteristics and steady state characteristics of system, and used lead-lag correction link to improve the performance of system. The results of simulation demonstrated that all of methods and improved algorithms were feasibility.