Home > Advanced Control of Chemical Processes > 2006 International Symposium on Advanced Control of Chemical Processes > Steady-state detection for multivariate systems based on PCA and wavelets
» Download Article
Document
Reference
Steady-state detection for multivariate systems based on PCA and wavelets
Advanced Control of Chemical Processes, Volume # 6 | Part# 1
Location: , Brazil
General Chair: Jorge Otavio Trierweiler
Program Chair: Francis J. Doyle, III.
Conference Editor: Francis J. Doyle, III.,
Jorge Otavio Trierweiler,
Argimiro R. Secchi,
Mehmet Mercangoz,
Luciane S. Ferreira
Posted online: 05-01-2008 29:23:14
Authors
L. Caumo, A. O. Kempf, J. O. Trierweiler
Identifier
None
Index Terms
waves,signal analysis,multivariate systems,principal component analysis,steady-state
Abstract
Steady-state detection has been an important tool in data processing, for nonlinear model identification, real time optimization, variability analysis, and so on. In this article, it is proposed a new methodology applied to multivariate systems for steadystate detection based on PCA and wavelets. The proposed approach is applied to an industrial distillation column. The combination of PCA and wavelets allows quantifying the steady-state considering a single variable generated by a PCA projection.
References
[1] Cao, S. and R. R. Rhinehart (1995). An efficient
method for on-line identification of steady state.
J. Process Control, 5 (6), 363-374.
[2] Chiang, L. H., E. L. Russell and R. D. Braatz (2001).
Fault detection and diagnosis in industrial
systems. Springer-Verlag London, Great Britain.
[3] Daubechies, I. (1992). Ten Lectures in Wavelets
(CBMS-NSF Series Appl. Math.), SIAM, PE.
[4] Jiang, T., B. Chen and X. He (2000). Industrial
application of wavelet transform to the on-line
prediction of side draw qualities of crude unit.
Computers and Chemical Engineering, 24, 507-
512.
[5] Jiang, T., B. Chen, X. He and P. Stuart (2003).
Application of steady-state detection method
based on wavelet transform. Computers and
Chemical Engineering, 27, 569-578.
[6] Mallat, S. and S. Zhong (1992). Characterization of
signals from multiscale edges. IEEE
Transactions on Pattern Analysis and Machine
Intelligence, 14 (7), 710-732.
[7] Narasimhan, S., R. S. H. Mah and A. C. Tamhane
(1986). AIChE Journal, 32 (9), 1409-1418.
[8] Shafer, G. (1976). A mathematical theory of evidence,
Princeton University Press, Princeton, NJ.
[9] Sundaresan, K. R. and P. R. Hrishnaswamy (1977).
Estimation of time delay time constant
parameters in time, frequency, and Laplace
domains. Can. J. Chem. Eng., 56, 257.