Application of grey system model to thermal error modeling on machine tools

Abstract

The basic principle and method of grey system model and its application in thermal error modeling on machine tools has been presented. How to utilize thermal error sequence surveyed to model and predict is discussed by adopting total data GM (1,1) model, new information GM(1,1) model and metabolic GM(1,1) model after function transform is brought forward to improve degree of smoothness of primary data sequence. Finally prediction precision of metabolic GM (1,1) model is 7.2% and 15.46% higher than those of new information GM (1,1) model and total data GM (1,1) model respectively. The comparison of the experiment's results indicates the accuracy and robustness advantages of metabolic GM (1,1) model over other two models. © 2006 International Federation for Information Processing.