On the tuning of predictive controllers: The minimum back-off operating point selection problem

Industrial and Engineering Chemistry Research

Volumn 44, Issue 20, 2005, Pages 7814-7822

  Peng, Jui Kun ^a   Manthanwar, Amit M ^a   Chmielewski, Donald J ^a  

^a ILLINOIS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRANCH AND BOUND SEARCH SCHEME; CONTROL STRUCTURES; CONTROLLER FEEDBACK GAIN; PREDICTIVE CONTROLLERS;

CHEMICAL REACTORS; FEEDBACK; HIERARCHICAL SYSTEMS; PROBLEM SOLVING; SYNTHESIS (CHEMICAL);

CONTROL EQUIPMENT;

PREDICTIVE CONTROL;

EID: 26844510853     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie050175n     Document Type: Article

References (21)

1. Narraway, L. T.; Perkins, J. D.; Barton, G. W. Interaction between process design and process control: Economic analysis of process dynamics. J. Process Control 1991, 1, 243.
2. Zhang, Y.; Monder, D.; Forbes, J. F. Real-time otimization under parametric uncertianty: a probability constrained approach. J. Process Control 2002, 12, 373.
3. Kassmann D. E.; Badgwell, T. A.; Hawkins, R. B. Robust steady-state target calculation for model predicitive control. AIChE J. 2000, 46, 1007.
4. Bahri, P. A.; Bandoni, J. A.; Barton, G. W.; Romagnoli, J. A. Back-off calculations in optimising control: a dynamic approach. Comput. Chem. Eng. 1995, 19, s699.
5. Figueroa, J. L.; Bahri, P. A.; Bandoni, J. A.; Romagnoli, J. A. Economic impact of disturbances and uncertain parameters in chemical processes - a dynamic back-off analysis. Comput. Chem. Eng. 1996, 20, 453.
6. Contreras-Dordelly, J. L.; Marlin, T. E. Control design for increased profit. Comput. Chem. Eng. 2000, 24, 267.
7. Figueroa, J. L.; Desages, A. C. Dynamic 'back-off analysis: use of piecewise linear approximations. Optimal Control Appl. Methods 2003, 24, 103.
8. Arbiza, M. J.; Bandoni, J. A.; Figueroa, J. L. Use of back-off computations in multilevel MPC. Lat. Am. Appl. Res. 2003, 33, 251.
9. Loeblein, C.; Perkins, J. D. Stuctural design for on-line process optimization: I. Dynamic economics of MPC. AIChE J. 1999, 45, 1018.
10. van Hessem, D. H.; Scherer, C. W.; Bosgra, O. H. LMI-based closed-loop economic optimization of stochastic process operation under state and input constraints. In Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, December 2001, 4228.
11. van Hessem, D. H.; Bosgra, O. H. Closed-loop stochastic model predictive control in a receding horizon implementation on a continuous polymerization reactor example In Proceedings of the American Control Conference, 2004, pp 914-919.
12. Chmielewski, D. J. Tuning and steady-state target selection in predictive control: a covariance assignment approach. AIChE Annual Meeting, Los Angeles, November 2000; Paper 257g (available at: http://www.chee.iit.edu/~chmielewski/).
13. Chmielewski, D. J.; Manthanwar, A. M. On the tuning of predictive controllers: Inverse optimality and the minimum variance covariance constrained control problem, Ind. Eng. Chem. Res. 2004, 43, 7807.
14. ∞ methods; Addison-Wesley: Menlo Park, 1999.
15. Boyd, S. P.; El Ghaoui, L.; Feron, E.; Balakrishnan, V. Linear matrix inequalities in system and control theory; Society for Industrial and Applied Mathematics (SLAM): 1994.
16. Skelton, R. E.; Iwasaki, T.; Grigoriadis, K. M. A unified algebraic approach to linear control design; Taylor & Francis: New York, 1999.
17. Dullerud, G. E.; Paganini, F. A course in robust control theory: a convex approach; Springer-Verlag: New York, 1999.
18. VanAntwerp, J. G.; Braatz, R. B. A tutorial on linear and bilinear matrix inequalities. J. Process Control 2000, 10, 363.
19. Sznaier, M.; Damborg, M. J. Suboptimal control of linear systems with state and control inequality constraints. In Proceedings of the 26th IEEE Conference on Decision and Control, Los Angeles, 1987, 761.
20. Chmielewski, D. J.; Manousiouthakis, V. I. On constrained infinite-time quadratic optimal control. Syst. Control Lett. 1996, 29, 121.
21. Scokaert, P. O. M.; Rawlings, J. B. Constrained linear quadratic regulation. IEEE Trans. Autom. Control 1998, 43, 1163.