Abstract
Kernel principal component analysis (KPCA) is widely used for fault detection. In this paper, a KPCA plus Fisher discriminant analysis (FDA) scheme is adopted to improve the fault detection performance of KPCA. Simulation results are given to show the effectiveness of the improvements for fault detection performance in terms of high fault detection rate.
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References
Chen, J.H., Chen, H.-H.: On-line Batch Process Monitoring using MHMT-based MPCA. Chemical Engineering Science 61, 3223–3239 (2006)
Lieftucht, D., Kruger, U., Irwin, G.W.: Improved Rliability in Dagnosing Fults using Mltivariate Satistics. Computers and Chemical Engineering 30, 901–912 (2006)
Detroja, K.P., Gudi, R.D., Patwardhan, S.C., Roy, K.: Fault Detection and Isolation Using Correspondence Analysis. Industrial & Engineering Chemistry Research 45, 223–235 (2006)
Zuo, M.J., Lin, J., Fan, X.F.: Feature Separation using ICA for a One-dimensional Time Series and its Application in Fault Detection. Journal of Sound and Vibration 287, 614–624 (2005)
Lee, G., Han, C.H., Yoon, E.S.: Multiple-fault Diagnosis of the Tennessee Eastman Process Based on System Decomposition and Dynamic PLS. Industrial & Engineering Chemistry Research 43, 8037–8048 (2004)
Kramer, M.A.: Non-linear Principal Component Analysis using Autoassociative Neural Networks. AIChE Journal 37, 233–243 (1991)
Tan, S., Mavrovouniotis, M.L.: Reducing Data Dimensionality through Optimizing Neural Networks Inputs. AIChE Journal 41, 1471–1480 (1995)
Jia, F., Martin, E.B., Morris, A.J.: Non-linear Principal Component Analysis for Process Fault Detection. Computers and Chemical Engineering 22, S851–S854 (1998)
Geng, Z.Q., Zhu, Q.X.: Multiscale Nonlinear Principal Component Analysis (NLPCA) and its Application for Chemical Process Monitoring. Industrial & Engineering Chemistry Research 44, 3585–3593 (2005)
Chen, J.H., Liao, C.-M.: Dynamic Process Fault Monitoring Based on Neural Network and PCA. Journal of Process Control 12, 277–289 (2002)
Dong, D., McAvoy, T.J.: Nonlinear Principal Component Analysis-Based on Principal Curves and Neural Networks. Computers and Chemical Engineering 20, 65–78 (1996)
Schölkopf, B., Smola, A.J., Müller, K.: Nonlinear Component Analysis as a Kernel Eigenvalue Problem. Neural Computation 10, 1299–1399 (1998)
Mika, S., Schölkopf, B., Smola, A.J., Müller, K.-R., Scholz, M., Rätsch, G.: KPCA and De-noising in Feature Spaces. Advances in Neural Information Processing Systems 11, 536–542 (1999)
Schölkopf, B., Mika, S., Burges, C.J.C., Knirsch, P., Müller, K.-R., Rätsch, G., Smola, A.J.: Input Space Versus Feature Space in Kernel-based Methods. IEEE Transactions on Neural Networks 10, 1000–1016 (1999)
Lee, J.-M., Yoo, C.K., Choi, S.W., Vanrolleghem, P.A., Lee, I.-B.: Nonlinear Process Monitoring using Kernel Principal Component Analysis. Chemical Engineering Science 59, 223–234 (2004)
Choi, S.W., Lee, C., Lee, J.-M., Park, J.H., Lee, I.-B.: Fault Detection and Identification of Nonlinear Processes Based on KPCA. Chemometrics and Intelligent Laboratory Systems 75, 55–67 (2005)
Cho, J.-H., Lee, J.-M., Choi, S.W., Lee, D., Lee, I.-B.: Fault Identification for Process Monitoring using Kernel Principal Component Analysis. Chemical Engineering Science 60, 279–288 (2005)
Fukunaga, K.: Introduction to Statistical Pattern Classification. Academic Press, San Diego (1990)
Wu, Y., Huang, T.S., Toyama, K.: Self-Supervised Learning for Object Based on Kernel Discriminant-EM Algorithm. In: Proceedings of International Conference on Computer Vision, Kauai, HI, vol. 1, pp. 275–280 (2001)
MacGregor, J.F., Kourti, T.: Statistical Process Control of Multivariate Processes. Control Engineering Practice 3, 403–414 (1995)
Tracy, N.D., Young, J.C., Mason, R.L.: Multivariate Control Charts for Individual Observations. Journal of Quality Technology 24, 88–95 (1992)
Haykin, S.: Neural Networks. Prentice-Hall, Englewood Cliffs (1999)
Chiang, L.H., Russell, F.L., Braatz, R.D.: Fault Detection and Diagnosis in Industrial Systems. Springer, London (2001)
Jackson, J.E., Mudholkar, G.S.: Control Procedures for Residuals Associated with Principal Component Analysis. Technometrics 21, 341–349 (1979)
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Cui, P., Fang, J. (2007). KPCA Plus FDA for Fault Detection. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72395-0_74
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DOI: https://doi.org/10.1007/978-3-540-72395-0_74
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72394-3
Online ISBN: 978-3-540-72395-0
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