Real-time optimization of batch processes by tracking the necessary conditions of optimality

Industrial and Engineering Chemistry Research

Volumn 46, Issue 2, 2007, Pages 492-504

  Srinivasan, B ^a   Bonvin, D ^b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; MATHEMATICAL MODELS; MEASUREMENT THEORY; NUMERICAL METHODS; REAL TIME SYSTEMS; TRACKING (POSITION);

BATCH PROCESSES; INPUT PARAMETRIZATION; NOMINAL PROCESS MODEL;

PROCESS CONTROL;

FEEDBACK CONTROL; MATHEMATICAL MODELS; MEASUREMENT THEORY; NUMERICAL METHODS; PROCESS CONTROL; REAL TIME SYSTEMS; TRACKING (POSITION);

EID: 33847285948     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie0600487     Document Type: Article

References (54)

1. Bonvin, D. Optimal operation of batch reactors - A personal view. J. Process Control 1998, 8 (5-6), 355-368.
2. Chu, W. B. Z.; Constantinides, A. Modeling, optimization, and computer control of Cephalosporin C fermentation process. Biotechnol. Bioeng. 1988, 32, 277-288.
3. Ponnuswamy, S. R.; Shah, S. L.; Kiparissides, C. A. Computer optimal control of batch polymerization reactors. Ind. Eng. Chem. Res. 1987, 26, 2229-2236.
4. Soroush, M.; Valluri, S. An approach to optimization and control of batch processes. In American Control Conference, Baltimore, MD, 1994; Vol. 1, pp 490-494.
5. Terwiesch, P.; Agarwal, P. M.; Rippin, D. W. T. Batch unit optimization with imperfect modeling - A survey. J. Process Control 1994, 4, 238-258.
6. Ruppen, D.; Benthack, C.; Bonvin, D. Optimization of batch reactor operation under parametric uncertainty-Computational aspects. J. Process Control 1995, 5 (4), 235-240.
7. Srinivasan, B.; Bonvin, D.; Visser, E.; Palanki, S. Dynamic optimization of batch processes: II. Role of measurements in handling uncertainty. Comput. Chem. Eng. 2003, 44, 27-44.
8. Marlin, T.; Hrymak, A. N. Real-time operations optimization of continuous processes. Presented at the Chemical Process Control - V Conference, Tahoe City, NV, 1996.
9. Zhang, Y.; Monder, D.; Forbes, J. F. Real-time optimization under parametric uncertainty: A probability constrained approach. J. Process Control 2002, 12 (3), 373-389.
10. Eaton, J. W.; Rawlings, J. B. Feedback control of nonlinear processes using on-line optimization techniques. Comput. Chem. Eng. 1990, 14, 469-479.
11. Abel, O.; Marquardt, W. A model predictive control scheme for safe and optimal operation of exothermic semi-batch reactors. In IFAC DYCOPS-5, Corfu, Greece, 1998; pp 761-764.
12. Ubrich, O.; Srinivasan, B.; Lerena, P.; Bonvin, D.; Stossel, F. Optimal feed profile for second-order reaction in a semi-batch reactor under safety constraints-Experimental study. J. Loss Prevent. Process Ind. 1999, 12, 485-493.
13. Valentinotti, S.; Srinivasan, B.; Holmberg, U.; Bonvin, D.; Cannizzaro, C.; Rhiel, M.; von Stockar, U. Optimal operation of fed-batch fermentations via adaptive control of overflow metabolite. Chem. Eng. Progress 2003, 665-674.
14. François, C.; Srinivasan, B.; Bonvin, D.; Hernandez, J. B.; Hunkeler, D. Run-to-run adaptation of a semiadiabatic policy for the optimization of an industrial batch polymerization process. Ind. Eng. Chem. Res. 2004, 43 (23), 7238-7242.
15. DeHaan, D.; Guay, M. Extremum-seeking control of state-constrained nonlinear systems. Automatica 2005, 41 (9), 1567-1574.
16. Guay, M.; Peters, N. Real-time dynamic optimization of nonlinear systems: A flatness-based approach. Comput. Chem. Eng. 2006, 30 (4), 709-721.
17. Ariyur, K. B.; Krstic, M. Real-Time Optimization by Extremum-Seeking Control; Wiley: New York, 2003.
18. Skogestad, S. Plantwide control: The search for the self-optimizing control structure. J. Process Control 2000, 10, 487-507.
19. Skogestad, S. Self-optimizing control: The missing link between steady-state optimization and control. Comput. Chem. Eng. 2000, 24 (2), 569-575.
20. Kirk, D. E. Optimal Control Theory: An Introduction; Prentice Hall: London, 1970.
21. Bryson, A. E.; Ho, Y. C. Applied Optimal Control; Hemisphere Publishing Co.: Washington, DC, 1975.
22. Srinivasan, B.; Palanki, S.; Bonvin, D. Dynamic optimization of batch processes: I. Characterization of the nominal solution. Comput. Chem. Eng. 2003, 44, 1-26.
23. Schlegel, M.; Marquardt, W. Detection and exploitation of the control switching structure in the solution of dynamic optimization problems. J. Process Control 2006, 16 (3), 275-290.
24. Isidori, A. Nonlinear Control Systems; Springer-Verlag: Berlin, 1989.
25. Kadam, J.; Marquardt, W.; Schlegel, M.; Backx, T.; Bosgra, O. H.; Brouwer, P. J.; Dünnebier, G.; Hessem, D.v.; Tiagounov, A.; Wolf, S. D. Towards integrated dynamic real-time optimization and control of industrial processes. In FOCAPO 2003; Grossmann, I. E.; McDonald, C. M., Eds.; pp 593-596.
26. Seborg, D. E.; Edgar, T. F.; Mellichamp, D. A. Process Dynamics and Control; Wiley: New York, 2004.
27. Ogunnaike, B. A.; Ray, W. H. Process Dynamics, Modeling and Control; Oxford University Press: Oxford, U.K., 1994.
28. Campbell, W. J.; Firth, S. K.; Toprac, A. J.; Edgar, T. F. A comparison of run-to-run control algorithms. In American Control Conference, 2002, Anchorage, Alaska, 2002; pp 2150-2155.
29. Srinivasan, B.; Primus, C. J.; Bonvin, D.; Ricker, N. L. Run-to-run optimization via generalized constraint control. Control Eng. Pract. 2001, 9, 911-919.
30. Yabuki, Y.; MacGregor, J. F. Product quality control in semi-batch reactors using mid-course correction policies. Ind. Eng. Chem. Res. 1997, 36, 1268-1275.
31. Flores-Cerrillo, J.; MacGregor, J. F. Control of particle size distributions in emulsion semi-batch polymerization using mid-course correction policies. Ind. Eng. Chem. Res. 2002, 41, 1805-1814.
32. Ronco, E.; Srinivasan, B.; Favez, J. Y.; Bonvin, D. Predictive control with added feedback for fast nonlinear systems. In European Control Conference, Porto, Portugal, 2001; pp 3167-3172.
33. Gros, S.; Srinivasan, B.; Bonvin, D. Static optimization via tracking of the necessary conditions of optimality using neighboring extremals. In American Control Conference, Portland, OR, 2005.
34. Titica, M.; Dochain, D.; Guay, M. Adaptive extremum-seeking control of fed-batch bioreactors. Eur. J. Control 2003, 9 (6), 618-631.
35. Box, G. E. P.; Draper, N. R. Evolutionary Operation. A Statistical Method for Process Improvement; Wiley: New York, 1969.
36. Walters, F. H.; Parker, L. R.; Jr. Morgan, S. L.; Deming, S. N. Sequential Simplex Optimization; CRC Press: Boca Raton, FL, 1991.
37. Ruppen, D.; Bonvin, D.; Rippin, D. W. T. Implementation of adaptive optimal operation for a semi-batch reaction system. Comput. Chem. Eng. 1998, 22, 185-189.
38. Abel, O.; Helbig, A.; Marquardt, W.; Zwick, H.; Daszkowski, T. Productivity optimization of an industrial semi-batch polymerization reactor under safety constraints. J. Process Control 2000, 10 (4), 351-362.
39. Pilippi-Bossy, C.; Bordet, J.; Villermaux, J.; Marchal-Brassely, S.; Georgakis, C. Batch reactor optimization by use of tendency models. Comput. Chem. Eng. 1989, 13, 35-47.
40. Dong, D.; McAvoy, T. J.; Zafiriou, E. Batch-to-batch optimization using neural networks. Ind. Eng. Chem. Res. 1996, 35, 2269-2276.
41. Clarke-Pringle T. L.; MacGregor, J. F. Optimization of molecular weight distribution using batch-to-batch adjustments. Ind. Eng. Chem. Res. 1998, 37, 3660-3669.
42. Szymkat, M.; Korytowski, A. Method of monotone structural evolution for optimal control and state constrained optimal control problems. In European Control Conference, Cambridge, U.K., 2003.
43. Hale, E. T.; Qin, S. J. Multi-parametric nonlinear programming and the evaluation of implicit optimization model adequacy. In IFAC DYCOPS-7, Cambridge, MA, 2004.
44. Sakizlis, V.; Perkins, J. D.; Pistikopoulos, E. N. Explicit solutions to optimal control problems for constrained continuous-time linear systems. IEE Proc. Control Theory Appl. 2005, 152 (4), 443-452.
45. Welz, C.; Srinivasan, B.; Bonvin, D. Combined on-line and runto-run optimization of batch processes with terminal constraints. In IFAC ADCHEM'03, Hong Kong, China, 2004; pp 55-62.
46. Zafiriou, E.; Zhu, J. M. Optimal control of semi-batch processes in the presence of modeling error. In American Control Conference, San Diego, CA, 1990; pp 1644-1649.
47. Skogestad, S.; Postlethwaite, I. Multivariable Feedback Control: Analysis and Design; Wiley: New York, Chichester, U.K., 1996.
48. Kariwala, W. Multi-Loop Controller Synthesis and Performance Analysis, Ph.D. Thesis, University of Alberta, Edmonton, Canada, 2004.
49. Flores-Cerrillo, J.; MacGregor, J. F. Within-batch and batch-to-batch inferential-adaptive control of semibatch reactors: A partial least squares approach. Ind. Eng. Chem. Res. 2003, 42, 3334-3345.
50. Flores-Cerrillo, J.; MacGregor, J. F. Control of batch product quality by trajectory manipulation using latent variable models. J. Process Control 2004, 14, 539-553.
51. Moore, K. L. Iterative Learning Control for Deterministic Systems; Advances in Industrial Control; Springer-Verlag: London, 1993.
52. Bien, Z.; Xu, J.-X. Iterative Learning Control: Analysis, Design, Integration and Applications; Kluwer Academic Publishers: Dordrecht, The Netherlands, 1998.
53. François, G.; Srinivasan, B.; Bonvin, D. Use of measurements for enforcing the necessary conditions of optimally in the presence of constraints and uncertainty. J. Process Control 2005, 15 (6), 701-712.
54. Welz, C.; Marchetti, A. G.; Srinivasan, B.; Ricker, N. L.; Bonvin, D. Validation of a solution model for the optimization of a batch distillation column. AIChE J. 2006, 52 (9), 3155-3163.