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Kernel principal component analysis with reduced complexity for nonlinear dynamic process monitoring

The International Journal of Advanced Manufacturing Technology volume 88, pages 3265–3279 (2017)Cite this article

Abstract

This paper proposes a new reduced kernel method for monitoring nonlinear dynamic systems on reproducing kernel Hilbert space (RKHS). Here, the proposed method is a concatenation of two techniques proposed in our previous studies, the reduced kernel principal component (RKPCA) Taouali et al. (Int J Adv Manuf Technol, 2015) and the singular value decomposition-kernel principal component (SVD-KPCA) (Elaissi et al. (ISA Trans, 52(1), 96–104, 2013)) The proposed method is entitled SVD-RKPCA. It consists at first to identify an implicit RKPCA model, that approaches “properly” the system behavior, and after that to update this RKPCA model by SVD of an incremented and decremented kernel matrix using a moving data window. The proposed SVD-RKPCA has been applied successfully for monitoring of a continuous stirred tank reactor (CSTR) as well as a Tennessee Eastman process (TEP).

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Authors and Affiliations

  1. Laboratory of Automatic Signal and Image Processing, National School of Engineers of Monastir, University of Monastir, Monastir 5019, Tunisia

    Ines Jaffel, Okba Taouali & Hassani Messaoud

  2. Institute of electronics, University BadjiMokhtar- Annaba, P.O. Box 12, Annaba, 23000, Algeria

    Mohamed Faouzi Harkat

Authors
  1. Ines Jaffel
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  2. Okba Taouali
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  3. Mohamed Faouzi Harkat
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  4. Hassani Messaoud
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Correspondence to Ines Jaffel.

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Jaffel, I., Taouali, O., Harkat, M.F. et al. Kernel principal component analysis with reduced complexity for nonlinear dynamic process monitoring. Int J Adv Manuf Technol 88, 3265–3279 (2017). https://doi.org/10.1007/s00170-016-8987-4

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  • DOI: https://doi.org/10.1007/s00170-016-8987-4

Keywords

  • KPCA
  • RKPCA
  • SVD
  • Fault detection
  • Fault isolation
  • Process monitoring