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The Chaotic Prediction for Aero‐Engine Performance Parameters Based on Nonlinear PLS Regression

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  • Chunxiao Zhang
  • Junjie Yue

Abstract

The prediction of the aero‐engine performance parameters is very important for aero‐engine condition monitoring and fault diagnosis. In this paper, the chaotic phase space of engine exhaust temperature (EGT) time series which come from actual air‐borne ACARS data is reconstructed through selecting some suitable nearby points. The partial least square (PLS) based on the cubic spline function or the kernel function transformation is adopted to obtain chaotic predictive function of EGT series. The experiment results indicate that the proposed PLS chaotic prediction algorithm based on biweight kernel function transformation has significant advantage in overcoming multicollinearity of the independent variables and solve the stability of regression model. Our predictive NMSE is 16.5 percent less than that of the traditional linear least squares (OLS) method and 10.38 percent less than that of the linear PLS approach. At the same time, the forecast error is less than that of nonlinear PLS algorithm through bootstrap test screening.

Suggested Citation

  • Chunxiao Zhang & Junjie Yue, 2012. "The Chaotic Prediction for Aero‐Engine Performance Parameters Based on Nonlinear PLS Regression," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
  • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:615618
    DOI: 10.1155/2012/615618
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    References listed on IDEAS

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    1. Thomas S. Parker & Leon O. Chua, 1989. "Practical Numerical Algorithms for Chaotic Systems," Springer Books, Springer, number 978-1-4612-3486-9, March.
    2. Douglas M. Hawkins, 1980. "Critical Values for Identifying Outliers," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(1), pages 95-96, March.
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