Independence variable optimization of thermal error model based on KPCA
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Panzhihua University,Panzhihua 617000, China

Clc Number:

TG502.15; TH161

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    Abstract:

    To address the issue that principle component analysis (PCA)shows a poor ability to acquire the characteristic of nonlinearity data, a kernel principle component analysis(KPCA) temperature point optimization method is proposed. Firstly, nonlinearity mapping function is introduced to map the input temperature data into the characteristic space,and a Gaussian radial basis is selected to be a kernel function. Secondly, inner product operation in characteristic space is transformedinto kernel function operation in input space, eigenvalues and kernel eigenvectors are found. Finally, a comprehensive independent variable is formed. According to an experiment conducted on a CNC machine center,and comparedwith the PCA model, RMSE and Maximum residual error reduces by 36% and 29%, respectively.KPCA can preferably acquire the characteristic of temperature data, and the prediction ability of KPCA model has an obvious improvement.

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  • Received:
  • Revised:
  • Adopted:
  • Online: January 24,2018
  • Published: