论文信息 - Research on ill-conditioned problem in grey prediction control model

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 /spl rho/, 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.

Xin-Ping Xiao | Shu-Hua Mao | Shi-Kuan Tong

[1] Weifeng Tian,et al. A novel hybrid grey-based strategy for improving the model precision of a dynamically tuned gyroscope , 2003 .

[2] Xiao Xinping,et al. A new modified GM (1,1) model: Grey optimization model , 2001 .

[3] Jer Min Jou,et al. A low-cost Gray prediction search chip for motion estimation , 2002 .

[4] CHENXiao-chuan,et al. Application of Grey System Theory in Design For Cost （DFC） , 2003 .

[5] L. Fahrmeir,et al. Multivariate statistical modelling based on generalized linear models , 1994 .

[6] Shiuh-Jer Huang,et al. Control of an inverted pendulum using grey prediction model , 1994, Proceedings of 1994 IEEE Industry Applications Society Annual Meeting.

[7] Chan-Ben Lin,et al. A high precision global prediction approach based on local prediction approaches , 2002, IEEE Trans. Syst. Man Cybern. Part C.