Sequential Parameter Estimation for Large-Scale Systems with Multiple Data Sets. 1. Computational Framework

Industrial and Engineering Chemistry Research

Volumn 42, Issue 23, 2003, Pages 5850-5860

  Faber, Richard ^a   Li, Pu ^a   Wozny, Günter ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COMPUTER SOFTWARE; OPTIMIZATION; SENSITIVITY ANALYSIS;

MODEL EQUATIONS;

LARGE SCALE SYSTEMS;

MATHEMATICAL ANALYSIS;

ARTICLE; DATA ANALYSIS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PARAMETER; PERFORMANCE; PROBLEM SOLVING; SEQUENTIAL ANALYSIS;

EID: 0242361596     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie030296s     Document Type: Article

References (19)

1. Yang, N. S.; Chuang, K. T.; Resetarits, M. A new criterion for modeling distillation column data using commercial simulators. Ind. Eng. Chem. Res. 2000, 39, 3308-3313.
2. Kister, H. Z.; Fluor, D. Can we believe the simulation results? Chem. Eng. Prog. 2002, 98 (10), 52-58.
3. Deming, W. E. Statistical adjustment of Data; Wiley: New York, 1943.
4. York, D. Least-squares fitting of a straight line. Can. J. Phys. 1966, 44, 1079-1086.
5. Peneloux, A. R.; Deyrieux, E.; Neau, E. The maximum likelihood test and the estimation of experimental inaccuracies: Application to data reduction for vapour-liquid equilibrium. J. Chem. Phys. 1976, 73, 706-716.
6. Britt, H. I.; Luecke, R. H. The estimation of parameters in nonlinear, implicit models. Technometrics 1973, 15, 233-247.
7. Esposito, W. R.; Floudas, C. A. Global optimization in parameter estimation of nonlinear algebraic models via the error-in-variable approach. Ind. Eng. Chem. Res. 1998, 37, 1841-1858.
8. Gau, C.-Y.; Stadtherr, M. A. Deterministic global optimization for error-in-variables parameter estimation. AIChE J. 2002, 48 (6), 1192-1197.
9. Rod, V.; Hancil, V. Iterative estimation of model parameters when measurements of all variables are subject to error. Comput. Chem. Eng. 1980, 4, 33-38.
10. Reilly, P. M.; Patino-Leal, H. A Bayesian study of the error-in-variables model. Technometrics 1981, 23 (3), 221.
11. Anderson, T. P.; Abrams, D. S.; Grens, E. A. Evaluation of parameters for nonlinear thermodynamic models. AIChE J. 1978, 24, 20-28.
12. Sutton, T. L.; MacGregor, J. F. The analysis and design of binary vapour-liquid equilibrium experiments. Part I: parameter estimation and consistency tests. Can. J. Chem. Eng. 1977, 55, 602-608.
13. Tjoa, I. B.; Biegler, L. T. Simultaneous strategies for data reconciliation and gross error detection of nonlinear systems. Comput. Chem. Eng. 1991, 15 (10), 679-690.
14. Tjoa, I. B.; Biegler, L. T. Reduced successive quadratic programming strategy for errors-in-variables estimation. Comput. Chem. Eng. 1992, 16 (6), 523-533.
15. Kim, I.-W.; Liebmann, M. J.; Edgar, T. F. Robust error-in-variables estimation using nonlinear programming techniques. AIChE J. 1990, 36 (7), 985-993.
16. Dovi, V. G.; Paladino, O. Fitting of experimental data to implicit models using a constrained variation algorithm. Comput. Chem. Eng. 1989, 13, 731-735.
17. Gau, C.-Y.; Stadtherr, M. A. Reliable nonlinear parameter estimation using interval analysis: error-in-variable approach. Comput. Chem. Eng. 2000, 24, 631-637.
18. Reid, R. C.; Prausnitz, J. M.; Poling, B. E. The properties of gases & liquids, 4th ed.; McGraw-Hill: New York, 1987.
19. Biegler, L. T.; Tjoa, I.-B. A parallel implementation for parameter estimation with implicit models. Anns. Oper. Res. 1993, 42 (1), 1-23.