Control study of long time delay process based on improved grey predictive model

To the problem of the traditional PID method is hard to achieve satisfied result in long time delay process, GM(2,1) grey model is predict used to the behavior of controlled process, and the model is improved by using “moving window” and changing the initiate condition. The coefficient of the GM(2,1) model is applied to determine the prediction steps. By combining GM(2,1) model with PID, the grey predicting control system for controlling the long time delay process is proposed. The results of simulation show that, comparing with traditional PID control method, the proposed algorithm has better flexibility and robustness, and also can fairly improve the control performances.