Thermal Error Compensation Method Based on Floyd Algorithm

Abstract

In this paper, a new compensation method of thermal error is proposed based on Floyd algorithm and homogeneous transformation matrices (HTMs). With the topological structure and measured data, the thermal error modelling is established. Then, according to the improved Floyd minimum-distance method and ant colony algorithm-based back propagation neural network (ACO-BPN), the error compensation models were established respectively. A comparison between the Floyd algorithm compensation method and a typical method ACO-BPN is performed, and the results shows that the Floyd algorithm has advantages of higher compensation accuracy, more effective and shorter time than ACO-BPN. Under variable temperatures conditions, the Floyd compensation method also has higher compensation accuracy.