基于状态空间模型的数控机床热误差建模

为了减小机床运行参数变化导致的机床热误差变化对模型预测精度的影响，提出了状态空间建模算法，该算法可根据机床运行参数的变化而自动调整模型，从而使模型对机床运行参数的变化具有良好的自适应性。通过实验比较了模型对机床处于不同条件下的热误差预测精度，并基于状态空间模型在Leaderway V-450型数控机床上进行了平面切削的热误差补偿实验。实验结果表明：与传统热误差建模算法相比较，所提算法的预测精度提高了58.12%，稳健性也得到了有效提升，且实际热误差补偿效果显著。

Thermal Error Modeling of CNC Machine Tools Based on State Space Model

In order to reduce the influences of thermal error changes caused by machine tool operating parameters changes on prediction accuracy of the models, the state space modeling algorithm was proposed, which might automatically adjust the models according to the changes of machine tool operating parameters, so that the models had good adaptability to the changes of machine tool operating parameters. The prediction accuracy of the thermal errors for the machines under different conditions were compared by experiments. And the thermal error compensation experiments of plane cutting were carried out on the Leaderway V-450 CNC machine tool based on state space model. The experimental results show that compared with the traditional thermal error modeling algorithm, the prediction accuracy of the proposed algorithm is improved by 58.12%, the robustness is also improved effectively, and the actual thermal error compensation effectiveness is significant.