On-line multiscale filtering of random and gross errors without process models

AIChE Journal

Volumn 45, Issue 5, 1999, Pages 1041-1058

  Nounou, Mohamed N ^a   Bakshi, Bhavik R ^a  

^a The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; NONLINEAR FILTERING; RANDOM ERRORS;

DATA RECTIFICATION; HAAR WAVELETS; WAVELET THRESHOLDING;

PROCESS ENGINEERING;

CHEMICAL ENGINEERING; ERROR; MODEL; PROCESS CONTROL; REVIEW; TECHNIQUE;

EID: 0032943498     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690450513     Document Type: Review

References (39)

1. Albuquerque, J., and L. Biegler, "Data Reconciliation and Gross-Error Detection for Dynamic Systems," AIChE J., 42(10), 2841 (1995).
2. Bakshi, B. R., M. N. Nounou, P. K. Goel, and X. Shen, "Multiscale Data Reconciliation with Fundamental Process Models," AIChE Meeting, Miami Beach (1998).
3. Bose, N. K., Digital Filters Theory and Applications, Elsevier Science, New York (1985).
4. Bruce, A., and H.-Y. Gao, Applied Wavelet Analysis with S-Plus, Springer, New York (1996).
5. Bruce, A. G., D. L. Donoho, H.-Y. Gao, and R. D. Martin, "Denoising and Robust Non-Linear Wavelet Analysis," Proc SPIE, Orlando, FL, 2242, 325 (1994).
6. Chiari, M., G. Bussani, M. G. Grottoli, and S. Pierucci, "On-Line Data Reconciliation and Optimization: Refinery Applications," Comput. Chem. Eng., 21, suppl., s1185 (1997).
7. Cohen, A., I. Daubechies, and V. Pierre, "Wavelets on the Interval and Fast Wavelet Transforms," Appl. Comput. Harmonic Anal., 1, 54 (1993).
8. Coifman, R. R., and D. L. Donoho, "Translation-Invariant De-Noising," Lecture Notes in Statistics, Springer-Verlag, 103, 125 (1995).
9. Crowe, C. M., "Observability and Redundancy of Process Data for Steady State Reconciliation," Chem. Eng. Sci., 44, 2909 (1989).
10. Donoho, D. L., I. M. Johnstone, G. Kerkyacharian, and D. Picard, "Wavelet Shrinkage: Asymptotia?," J. Roy. Stat. Soc. B, 57, 301 (1995).
11. Donoho, D. L., and I. M. Johnstone, "Ideal De-noising in an Orthonormal Basis Chosen from a Library of Bases," Technical Report, Dept. of Statistics, Stanford Univ., Stanford, CA (1994).
12. Gallagher, N. C., Jr., and G. Wise, "Theoretical Analysis of the Properties of the Median Filters," IEEE Trans. on Acoustics, Speech, and Signal Processing, ASSP-29, 1136 (1981).
13. Gelb, A., Applied Optimal Estimation, MIT Press, Cambridge, MA (1974).
14. Heinonen, P., and Y. Neuvo, "FIR-Median Hybrid Filters with Predictive FIR Substructures," IEEE Trans. on Acoustics, Speech, and Signal Processing, 36, 892 (1988).
15. Heinonen, P., and Y. Neuvo, "FIR-Median Hybrid Filters," IEEE Trans. on Acoustics, Speech, and Signal Process., ASSP-35, 832 (1987).
16. Islam, K. A., G. H. Weiss, and J. A. Romagnoli, "Non-Linear Data Reconciliation for an Industrial Pyrolysis Reactor," Comput. Chem. Eng., 18, suppl., s218 (1994).
17. Johnston, L. P. M., and M. A. Kramer, "Maximum Likelihood Data Rectification: Steady-State Systems," AIChE J., 41, 2415 (1995).
18. Kao, C-S., A. C. Tamhane, and R. H. Mah, "Gross Error Detection in Serially Correlated Data. 2. Dynamic Systems," Ind. Eng. Chem. Res., 31, 254 (1992).
19. Kao, C-S., A. C. Tamhane, and R. H. Mah, "Gross Error Detection in Serially Correlated Data," Ind. Eng. Chem. Res., 29, 1004 (1990).
20. Karjala, T. W., and D. M. Himmelblau, "Dynamic Data Rectification by Recurrent Neural Networks vs. Traditional Methods," AIChE J., 40, 1865 (1994).
21. Kim, I.-W., M. J. Liebman, and T. F. Edgar, "A Sequential Error-In-Variables Methods for Nonlinear Dynamic Systems," Comput. Chem. Eng., 15, 663 (1990).
22. Kim, I.-W., M. S. Kang, S. Park, and T. F. Edgar, "Robust Data Reconciliation and Gross Error Detection: The Modified MIMT using NLP," Comput. Chem. Eng., 21, 775 (1997).
23. Kramer, M. A., and R. S. H. Mah, "Model Based Monitoring," Proc. Int. Conf. on Foundations of Comput. Aided Process Oper., D. Rippen, J. Hale, and J. Davis, eds., CACHE, Austin, TX (1994).
24. Liebman, M. J., and T. F. Edgar, "Efficient Data Reconciliation and Estimation for Dynamic Processes using Nonlinear Programming Techniques," Comput. Chem. Eng., 16, 963 (1992).
25. Mah, R. S. H., Chemical Process Structure and Information Flows, Butterworth, Boston (1990).
26. Mallat, S. G., "A Theory of Multiresolution Signal Decomposition: The Wavelet Representation," IEEE Trans. on Pattern Analysis and Machine Intellig., 11, 764 (1989).
27. Montgomery, D. C., Introduction to Statistical Quality Control, Wiley, New York (1996).
28. Nason, G. P., "Wavelet Shrinkage using Cross-Validation," J. of Roy. Stat. Soc., 58, 463 (1996).
29. Neumann, M., and R. Von Sachs, "Wavelet Thresholding: Beyond the Gaussian I.I.D. Situation," Lecture Notes in Statistics, Springer-Verlag, 103, 103 (1995).
30. Nounou, M. N., "On-Line Multiscale Rectification of Random and Gross Errors without Process Models," MS Thesis, The Ohio State Univ., Columbus (1997).
31. Sorenson, H. W., ed., Kalman Filtering: Theory and Applications, IEEE Press, New York (1985).
32. Strum, R. D., and D. E. Kirk, First Principles of Discrete Systems and Digital Signal Processing, Addison-Wesley, Reading, MA (1989).
33. Tamhane, A. C., and R. S. H Mah, "Data Reconciliation and Gross Error Detection in Chemical Process Networks," Technometrics, 27, 409 (1985).
34. Tham, M. T., and A. Parr, "Succeed at On-Line Validation and Reconstruction of Data," Chem. Eng. Prog., 90, 46 (1994).
35. Tjao, I. B., and L. T. Biegler, "Simultaneous Strategies for Data Reconciliation and Gross Error Detection of Nonlinear Systems," Comput. Chem. Eng., 15, 679 (1991).
36. Tong, H., and C. M. Crowe, "Detection of Gross Errors in Data Reconciliation by Principal Component Analysis," AIChE J., 41, 1712 (1995).
37. Top, S., and B. R. Bakshi, "Improved Statistical Process Control using Wavelets," Foundations of Computer Aided Process Operations, J. Pekny and G. Blau, eds., Snowbird, UT, in press (1999).
38. Veverka, V., "A Method of Reconciliation of Measured Data with Nonlinear Constraints," Appl. Math. Comput., 49, 141 (1992).
39. Wold, S., "Exponentially Weighted Moving Principal Components Analysis and Projections to Latent Structures," Chemom. and Intell. Lab. Sys., 23, 149 (1994).