Research on ill-conditioned problem in grey prediction control model

A new simple and effective method for solving ill-conditioned GM(1,1) model in grey prediction controller is proposed. This method is based on multiple transformation to original series and center parallel moving transformation to AGO series. By choosing coefficients M and ρ, the condition number of coefficient matrix can be controlled. This method not only improves the prediction accuracy of the original grey model, but also reduces ill-conditions for GM (1,1) model. Finally we use an application example for our case study to test the efficiency and accuracy of the proposed method.