Effects of Diagonal Input Uncertainties and Element Uncertainties in Ill-Conditioned Processes

Industrial and Engineering Chemistry Research

Volumn 37, Issue 3, 1998, Pages 1009-1017

  Lee, Jietae ^a   Cho, Wonhui ^b   Edgar, Thomas F ^b  

^a Kyungpook National University   (South Korea)

^b The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; PROCESS CONTROL;

ILL CONDITIONED PROCESSES; INVERSION CONTROL SYSTEM;

CHEMICAL OPERATIONS;

EID: 0032022222     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie9704758     Document Type: Article

References (20)

1. Braatz, R, D.; Morari, M. Minimizing the Euclidean Condition Number. SIAM J. Control Optimization 1994, 32, 1763-1768.
2. Chen, J.; Nett, C. N. Bounds on Generalized Structured Singular Values via the Perron Root of Matrix Majorants. Systems Control Lett. 1992, 19, 439-449.
3. Chen, J.; Freudenberg, J. S.; Nett, C. N. The Role of the Condition Number and the Relative Gain Array in Robustness Analysis. Automatica 1994, 30, 1029-1035.
4. Golub, G. H.; Van Loan, C. F. Matrix Computations, 2nd ed; Johns Hopkins University Press: 1989.
5. Grosdidier, P. Analysis of Interaction Direction with the Singular Value Decomposition. Comput. Chem. Eng. 1990, 14, 687-689.
6. Grosdidier, P.; Morari, M.; Holts, B. R. Closed-loop Properties from Steady-state Gain Information. Ind. Eng. Chem. Fundam. 1985, 24, 221-235.
7. Horn, R. A.; Johnson, C. R. Matrix Analysis; Cambridge University Press: New York, 1985.
8. Horn, R. A.; Johnson, C. R. Topics in Matrix Analysis; Cambridge University Press: New York, 1991.
9. Hovd, M.; Skogestad, S. Simple Frequency-dependent Tools for Control System Analysis, Structure Selection and Design. Automatica 1992, 28, 989-996.
10. Koung, C. W.; MacGregor, J. F. Design of Identification Experiments for Robust Control. A Geometric Approach for Bivariate Processes. Ind. Eng. Chem. Res. 1993, 32, 1658-1666.
11. Lee, J.; Cho, W.; Edgar, T. F. Iterative Identification Methods for Ill-conditioned Processes. Ind. Eng. Chem. Res. 1998, 37, 1018-1023.
12. Li, W.; Lee, J. H. Control Relevant Identification of Ill-Conditioned Systems: Estimation of Gain Directionality. Comput. Chem. Eng. 1995 (preprint).
13. Nett, C. N.; Manousiouthakis, V. Euclidean Condition and Block Relative Gain: Connections, Conjectures, and Clarifications. IEEE Trans. Automatic Control 1987, AC-32, 405-407.
14. Schaper, C. D.; Moslehi, M. M.; Saraswat, K. C.; Kailath, T. Modeling, Identification, and Control of Rapid Thermal Processing Systems. J. Electrochem. Soc. 1994, 141, 3200-3209.
15. Skogestad, S.; Morari, M. Effect of Disturbance Directions on Closed-loop Performance. Ind. Eng. Chem. Res. 1987a, 26, 2029-2035.
16. Skogestad, S.; Morari, M. Implication of Large Elements on Control Performance. Ind. Eng. Chem. Res. 1987b, 26, 2323-2330.
17. Skogestad, S.; Morari, M.; Doyle, J. C. Robust Control of Ill-Conditioned Plants: High-Purity Distillation. IEEE Trans. Automatic Control 1988, AC-33, 1092-1105.
18. Stanley, G.; Marino-Galarraga, M.; McAvoy, T. J. Shortcut Operability Analysis I: the Relative Disturbance Gain. Ind. Eng. Chem. Process Des. Dev. 1985, 24, 1181-1188.
19. Stuber, J. D.; Edgar, T. F.; Breedijk, T. Model-Based Control of Rapid Thermal Processes. Proc. Electrochem. Soc. 1995, 95 (4), 113-122.
20. Yu, C. C.; Luyben, W. L. Robustness with respect to Integral Controllability. Ind. Eng. Chem. Res. 1987, 26, 1043-1045.