LP Methods in MPC of Large-Scale Systems: Application to Paper-Machine CD Control

AIChE Journal

Volumn 43, Issue 4, 1997, Pages 1016-1031

  Dave, Prashant ^a   Willig, Dennis A ^a   Kudva, Gautham K ^a   Pekny, Joseph F ^a   Doyle, Francis J ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; PAPER AND PULP INDUSTRY; PAPERMAKING MACHINERY; PROCESS CONTROL;

CROSS-DIRECTION CONTROL PROBLEM; LARGE-SCALE CONTROL PROBLEMS; MODEL-PREDICTIVE CONTROL;

LINEAR PROGRAMMING;

EID: 0031124875     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690430416     Document Type: Article

References (27)

1. Allwright, J. C., and G. C. Papavasiliou, "On Linear Programming and Robust Model-Predictive Control Using Impulse-Responses," Syst. Control Lett., 18, 159 (1992).
2. Beloit Corporation, Home Page (1996a); URL: http://www. beloit.com.
3. Beloit Corporation, "New Headbox Signals the Future of Papermaking," (1996b); URL: http://www.beloit.com/Products/Paper_machine/Headbox/concept4.html.
4. Bergh, L. G., and J. F. MacGregor, "Spatial Control of Sheet and Film Forming Processes," Can. J. Chem. Eng., 65, 148 (1987).
5. Boyle, T. J., "Control of Cross-Direction Variations in Web Forming Machines," Can. J. Chem. Eng., 55, 457 (1977).
6. Boyle, T. J., "Practical Algorithms for Cross-Direction Control," TAPPI J., 61(1), 77 (1978).
7. Braatz, R. D., M. L. Tyler, M. Morari, F. R. Pranchk, and L. Sartor, "Identification and Cross Directional Control of Coating Processes," AIChE J., 38, 1329 (1992).
8. Brearley, A. L., G. Mitra, and H. P. Williams, "Analysis of Mathematical Programming Problems Prior to Applying the Simplex Algorithm," Math. Program., 8, 54 (1975).
9. Campbell, J. C., and J. B. Rawlings, "Estimation and Control of Sheet and Film Forming Processes," SIAM Symp. Control Problems in Industry, San Diego (1994).
10. Campo, P. J., "Studies in Robust Control of Systems Subject to Constraints," PhD Thesis, California Institute of Technology, Pasadena (1989).
11. Campo, P. J., and M. Morari, "∞-Norm Formulation of Model Predictive Control Problems," Proc. American Control Conf., Seattle, WA, p. 339 (1986).
12. Chen, S. C., and R. G. Wilhelm, "Optimal Control of Cross-Machine Direction Web Profile with Constraints on the Control Effort," Proc. American Control Conf., Seattle, WA, p. 1409 (1986).
13. CPLEX, Using the CPLEX Callable Library and CPLEX Mixed Integer Library, Version 2.1, CPLEX Optimization Inc., Incline Village, NV (1993).
14. Dave, P., J. F. Pekny, and F. J. Doyle, "Customization Strategies for the Solution of Linear Programming Problems Arising from Large Scale Model Predictive Control of a Paper Machine," Comput. Chem. Eng., submitted (1996).
15. Davies, M., G. Dumont, and X. Wang, "Estimation in Paper Machine Control," IEEE Trans. Contr. Syst., CS-13(4), 34 (1993).
16. Dumont, G. A., "Challenges and Opportunities in Pulp and Paper Process Control," Proc. American Control Conf., Atlanta, GA, p. 1959 (1988).
17. Garcia, C. E., D. M. Prett, and M. Morari, "Model Predictive Control: Theory and Practice - A Survey," Automatica, 25(3), 335 (1989).
18. Kristinsson, K., "Cross Directional Control of Basis Weight on Paper Machines Using Gram Polynomials," PhD Thesis, Univ. of British Columbia, Vancouver (1994).
19. Laughlin, D., "Control System Design for Robust Performance Despite Model Parameter Uncertainties: Application to Cross-directional Response Control in Paper Manufacturing," PhD Thesis, California Institute of Technology, Pasadena (1988).
20. Laughlin, D. L., K. G. Jordan, and M. Morari, "Internal Model Control and Process Uncertainty: Mapping Uncertainty Regions for SISO Controller Design," Int. J. Control, 44(6), 1675 (1986).
21. Laughlin, D. L., and M. Morari, "Robust Performance of Cross-Directional Basis-Weight Control in Paper Manufacturing," Proc. American Control Conf., Vol. 3, Pittsburgh, p. 2122 (1989).
22. Miller, D. L., and J. F. Pekny, "A Staged Primal-Dual Algorithm for Perfect b-Matching with Edge Capacities," ORSA J. Comput., 7(3), 298 (1995).
23. Natarajan, K., G. A. Dumont, and M. S. Davies, "On the Approximation of a Deflection Curve by Force Actuators with Variable Spacing," Trans. ASME, J. Appl. Mech., 56, 865 (1989).
24. Pekny, J. F., and D. L. Miller, "A Staged Primal-Dual Algorithm for Finding a Minimum Cost Perfect Two-Matching in an Undirected Graph," ORSA J. Comput., 6(1), 68 (1994).
25. Pekny, J. F., and M. G. Zentner, "Learning to Solve Process Scheduling Problems: The Role of Rigorous Knowledge Acquisition Frameworks," Proc. Int. Conf. on the Foundations of Computer Aided Process Operations FOCAPO II (1993).
26. Tyler, M. L., and M. Morari, "Estimation of Cross-Directional Properties: Scanning Versus Stationary Sensors," AIChE J., 41(4), 846 (1995).
27. Zheng, Z. Q., and M. Morari, "Robust Stability of Constrained Model Predictive Control," Proc. American Control Conf., San Francisco, p. 379 (1993).