基于灰色模糊聚类和LS-SVM加工中心的热误差补偿模型

为实现数控机床热误差的补偿，提出了基于灰色综合关联度的灰色-模糊聚类算法和最小二乘支持向量机（LS-SVM）对数控机床热误差元素进行优化建模的方法.该方法通过计算各温度测点和热误差数据间的灰色综合关联度，确定灰色相似矩阵，并利用最大树法，得到基于不同水平的聚类结果形成的谱系图，从而确定关键测温点，再利用最小二乘支持向量机方法构建数控机床热误差补偿模型.以MDV-55立式精密加工中心为实验对象进行建模补偿，结果表明，该方法不仅减少了温度传感器的数量，而且机床的加工精度也得到了显著改善.

Compensation model for thermal error of machining center based on gray-fuzzy clustering and LS-SVM

In order to realize the compensation for the thermal error of numerical control(NC) machine tool,a gray-fuzzy clustering algorithm based on synthetic grey correlation and an optimum modeling method for the thermal error element of NC machine tool with least squares support vector machine(LS-SVM) were proposed.Through calculating the synthetic grey correlation between the temperature measuring points and thermal error data,a gray similar matrix was determined in the proposed method.With the maximum tree meth...