Modeling and Control of Multivariable Processes: Dynamic PLS Approach

AIChE Journal

Volumn 43, Issue 9, 1997, Pages 2307-2322

  Lakshminarayanan, S ^a   Shah, Sirish L ^a   Nandakumar, K ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM SYNTHESIS; LEAST SQUARES APPROXIMATIONS; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; MULTIVARIABLE CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; STATISTICAL PROCESS CONTROL;

MULTIVARIABLE CHEMICAL PROCESS SYSTEMS; PARTIAL LEAST SQUARES (PLS);

CHEMICAL VARIABLES CONTROL;

EID: 0031234736     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690430916     Document Type: Article

References (47)

1. ADAPTx, Adaptics, Inc., McLean, VA (1992).
2. Alatiqi, I. M., and W. L. Luyben, "Control of a Complex Sidestream Column/Stripper Distillation Configuration," Ind. Eng. Chem. Process Des. Dev., 25, 762 (1986).
3. Anbumani, K., L. M. Patnaik, and I. G. Sharma, "Self-tuning Minimum Variance Control of Nonlinear Systems of the Hammerstein Model," IEEE Trans. Automat. Contr., AC-26, 959 (1981).
4. Bhat, J., M. Chidambaram, and K. P. Madhavan, "Adaptive Feedforward Control of Hammerstein Nonlinear Systems," Int. J. Control, 51, 237 (1990).
5. Cinar, A., "Nonlinear Time Series Models for Multivariable Dynamic Processes," INCINC '94, First International Chemometrics Internet Conference. Proceedings archived at Web Site http://www.emsl.pnl.gov.2080/docs/incinc/homepage.html (1994).
6. de Jong, S., "SIMPLS: An Alternative Approach to Partial Least Squares Regression," Chemometrics Intell. Lab. Syst., 18, 251 (1993).
7. Eskinat, E., S. H. Johnson, and W. L. Luyben, "Use of Hammerstein Models in Identification of Nonlinear Systems," AIChE J., 37(2), 255 (1991).
8. Geladi, P., and B. R. Kowalski, "Partial Least-Squares Regression: A Tutorial," Anal. Chim. Acta, 185, 1 (1986a).
9. Geladi, P., and B. R. Kowalski, "An Example of 2-Block Predictive Partial Least-squares Regression with Simulated Data," Anal. Chim. Acta, 185, 19 (1986b).
10. Haber, R., and H. Unbehauen, "Structure Identification of Nonlinear Dynamic Systems - A Survey on Input-Output Approaches," Automatica, 26(4), 651 (1990).
11. Henson, M. A., and D. E. Seborg, "Adaptive Nonlinear Control of a pH Neutralization Process," IEEE Trans. Control Syst. Tech., CST-2(3), 169 (1994).
12. Hernández, E., and Y. Arkun, "Control of Nonlinear Systems using Polynomial ARMA Models," AIChE J., 39(3), 446 (1993).
13. Höskuldsson, A., "PLS Regression Methods," J. Chemometrics, 2, 211 (1988).
14. Kaspar, M. H., and W. H. Ray, "Chemometric Methods for Process Monitoring and High-performance Controller Design," AIChE J., 38(10), 1593 (1992).
15. Kaspar, M. H., and W. H. Ray, "Dynamic PLS Modelling for Process Control," Chem. Eng. Sci., 48(20), 3447 (1993).
16. Kresta, J., "Applications of Partial Least Squares Regression," PhD Thesis, McMaster Univ., Hamilton, Ont., Canada (1992).
17. Kresta, J., J. F. MacGregor, and T. E. Marlin, "Multivariate Statistical Monitoring of Process Operating Performance," Can. J. Chem. Eng., 69(1), 35 (1991).
18. Ku, W., R. H. Storer, and C. Georgakis, "Disturbance Detection and Isolation by Dynamic Principal Component Analysis," Chemometrics Intell. Lab. Syst., 30, 179 (1995).
19. Lakshminarayanan, S., "Process Characterization and Control Using Multivariate Statistical Techniques," PhD Thesis, Univ. of Alberta, Edmonton, Canada (1997).
20. Lakshminarayanan, S., S. L. Shah, and K. Nandakumar, "Identification of Hammerstein Models using Multivariate Statistical Tools," Chem. Eng. Sci., 50(22), 3599 (1995).
21. Lakshminarayanan, S., R. S. Patwardhan, and S. L. Shah, "A Dynamic PLS Framework for Advanced Process Control," IFAC ADCHEM '97 Meeting, Banff, Canada (1997).
22. Larimore, W. E., "Canonical Variate Analysis in Identification, Filtering and Adaptive Control," Proc. IEEE Conf. on Decision and Control, IEEE, Piscataway, NJ (1990).
23. Ljung, L., System Identification: Theory for the User, Prentice Hall, Englewood Cliffs, NJ (1987).
24. Luyben, W. L., and E. Eskinat, "Nonlinear Auto-tune Identification," Int. J. Control, 59(3), 595 (1994).
25. Manne, R., "Analysis of Two Partial-Least-Squares Algorithms for Multivariate Calibration," Chemometrics Intell. Lab. Syst., 2, 283 (1987).
26. Marlin, T. E., Process Control: Designing Processes and Control Systems for Dynamic Performance, McGraw-Hill, New York (1995).
27. Morari, M., "Process Control Theory: Reflections on the Past and Goals for the Next Decade," The Second Shell Process Control Workshop: Solutions to the Shell Standard Control Problem, D. M. Prett, C. E. García, and B. L. Ramaker, eds., Butterworth, Boston (1990).
28. Morari, M., and E. Zafiriou, Robust Process Control, Prentice Hall, Englewood Cliffs, NJ (1989).
29. Narendra, K. S., and P. G. Gallman, "An Iterative Method for the Identification of Nonlinear Systems using the Hammerstein Model," IEEE Trans. Automat. Contr., AC-12, 546 (1966).
30. Niu, S., and D. G. Fisher, "Simultaneous Structure Identification and Parameter Estimation of Multivariable Systems," Int. J. Control, 59(5), 1127 (1994).
31. Nomikos, P., and J. F. MacGregor, "Multi-way Partial Least Squares in Monitoring Batch Processes," INCINC '94, First International Chemometrics Internet Conference. Proceedings archived at Web Site http://www.emsl.pnl.gov.2080/docs/incinc/homepage.html (1994).
32. Ogunnaike, B. A., and W. H. Ray, Process Dynamics, Modeling and Control, Oxford Univ. Press, New York (1994).
33. Pearson, R. K., "Nonlinear Input-Output Modeling," Proc. IFAC ADCHEM'94 Meeting, Elsevier Science, New York, p. 1 (1994).
34. Qin, S. J., "Partial Least Squares Regression for Recursive System Identification," Proc. Conf., on Decision and Control, IEEE, Piscataway, NJ (1993).
35. Qin, S. J., and T. J. McAvoy, "A Data-Based Process Modeling Approach and its Applications," Proc. IFAC Conf. on Dynamics and Control of Chemical Reactors (DYCORD + '92), IEEE, Piscataway, NJ (1992a).
36. Qin, S. J., and T. J. McAvoy, "Nonlinear PLS Modelling using Neurral Networks," Comput. Chem. Eng., 16(4), 379 (1992b).
37. Ricker, N. L., "The Use of Biased Least-squares Estimators for Parameters in Discrete-Time Pulse Response Models," Ind. Eng. Chem. Res., 27, 343 (1988).
38. Seborg, D. E., T. F. Edgar, and D. A. Mellichamp, Process Dynamics and Control, Wiley, New York (1989).
39. Shen, S. H., and C. C. Yu, "Indirect Feedforward Control: Multivariable Systems," Chem. Eng. Sci., 47(12), 3085 (1992).
40. Stanley, G., M. Marino-Galarraga, and T. J. McAvoy, "Shortcut Operability Analysis 1. The Relative Disturbance Gain," Ind. Eng. Chem. Process Des. Dev., 24, 1188 (1985).
41. System Identification Toolbox for use with MATLAB, The Mathworks, Inc., Natick, MA (1992).
42. Vogel, E. F., and T. F. Edgar, "A New Dead Time Compensator for Digital Control," ISA/80 Proceedings, ISA, Research Triangle Park, NC (1980).
43. Wise, B. M., "Adapting Multivariate Analysis for Monitoring and Modeling Dynamic Systems," PhD Thesis, Univ. of Washington, Seattle (1991).
44. Wold, H., "Estimation of Principal Components and Related Models by Iterative Least Squares," Multivariate Analysis, R. P. Krishnaiah, ed., Academic Press, New York, p. 391 (1966).
45. Wold, S., N. Kettaneh-Wold, and B. Skagerberg, "Nonlinear PLS Modelling," Chemometrics Intell. Lab. Syst., 7, 53 (1989).
46. Wood, R. K., and M. W. Berry, "Terminal Composition Control of a Binary Distillation Column," Chem. Eng. Sci., 29, 1808 (1973).
47. Zhu, X., and D. E. Seborg, "Nonlinear Predictive Control Based on Hammerstein Models," Proc. PSE, Elsevier Science, New York, p. 995 (1994).