The analysis and design of spatial control systems in strip metal rolling

IEEE Transactions on Control Systems Technology

Volumn 6, Issue 2, 1998, Pages 220-232

  Duncan, Stephen R ^a,b   Allwood, Julian M ^c   Garimella, Srinivas S ^d  

^a IEEE   (United Kingdom)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

^d ALCOA TECHNICAL CENTER   (United States)

Author keywords

Actuators; Chebyshev functions; Metals industry; Minimax control; Orthogonal functions; Shape control; Shape measurement

Indexed keywords

CHEBYSHEV APPROXIMATION; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; PLASTICS INDUSTRY; RESIDUAL STRESSES; ROLLING MILLS; SENSORS; STRESS CONCENTRATION; STRIP METAL;

METALS INDUSTRY; ORTHOGONAL FUNCTIONS; SHAPE CONTROL; SHAPE MEASUREMENT; STRIP METAL ROLLING;

ACTUATORS;

EID: 0032024511     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/87.664189     Document Type: Article

References (36)

1. J. M. Allwood, "Improved process control through on-line modelling," in Proc. Inst. Metals Conf. Contr. of Profile and Flatness, Birmingham, U.K., 1996.
2. J. M. Allwood and G. F. Bryant, "Fast modelling of roll-stack behaviour for control applications," in Proc. IMechE, Part C, vol. 211, 1997, pp. 373-386.
3. I. Barrodale and C. Phillips, "Algorithm 495: Solution of an overdetermined system of linear equations in the Chebyshev norm," ACM Trans. Math. Software, vol. 1, no. 3, pp. 264-270, 1975.
4. R. D. Braatz, M. L. Tyler, M. Moran, F. R. Pranekh, and L. Sartor, "Identification and cross-directional control of coating processes," AIChE J., vol. 38, pp. 1329-1340, 1992.
5. _, "Identification and cross-directional control of coating processes," AIChE J., vol. 38, pp. 1329-1340, 1992.
6. K. A. Cutshall, "Cross-directional control," in Paper Machine Operations, 3rd ed. Atlanta, GA: Joint Textbook Committee of Paper Industry of United States and Canada, 1991, ch. XVIII.
7. F. J. Doyle III, J. F. Pekny, and P. Dave, "Customization strategies for the solution of linear programming problems arising from large scale MPC of a paper machine," in Proc. Amer. Contr. Conf., Albuquerque, NM, 1997, pp. 1463-1469.
8. S. R. Duncan, "The cross-directional control of web forming processes," Ph.D. dissertation, Univ. London, U.K., 1989.
9. S. R. Duncan and G. F. Bryant, "Spatial controllability of cross-directional control systems for web processes," Automatica, vol. 33, no. 2, pp. 139-153, 1997.
10. S. R. Duncan and K. W. Corscadden, "Minimizing the range of cross-directional variations in basis weight on a paper machine," in Proc. 5th IEEE Conf. Contr. Applicat., Dearborn, MI, 1996, pp. 149-154.
11. S. R. Duncan, W. P. Heath, A. Halouskova, and M. Karny, "Application of basis functions to cross-directional control of web processes," in Proc. Inst. Elec. Eng. Contr. Conf., Exeter, U.K., 1996, pp. 1278-1283.
12. A. P. Featherstone and R. D. Braatz, "Control relevant identification of sheet and film processes," in Proc. Amer. Contr. Conf., Seattle, WA, 1995, pp. 2692-2696.
13. L. Fox and I. B. Parker, Chebyshev Polynomials in Numerical Analysis Oxford, U.K.: Oxford Univ. Press, 1968.
14. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization. London: Academic, 1981.
15. G. H. Golub and C. F. van Loan, Matrix Computations, 2nd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1989.
16. G. C. Goodwin, B. M. Carny, and W. J. Edwards, "Analysis of thermal camber control in rolling mills," in Proc. IFAC World Congr., Tallinn, USSR, 1990.
17. G. S. Goodwin, S. J. Lee, and A. Carlton, "Application of Kalman filtering to zinc coating mass estimation," in Proc. 3rd IEEE Conf. Contr. Applicat., Glasgow, Scotland, U.K., 1994, pp. 1539-1544.
18. D. Gorinevsky, R. Vyse, C. Hagart-Alexander, and M. Heaven, "Performance analysis of cross-directional process control using multivariable and spectral methods," in Proc. CPPA Control Systems 96 Conf., Halifax, Nova Scotia, Canada, 1996, pp. 9-14.
19. M. J. Grimble and J. Fotakis, "The design of strip shape control systems for Senzimir mills," IEEE Trans. Automat. Contr., vol. AC-27, pp. 656-666, 1982.
20. P. J. Habberley, "Market requirements of metal packaging" in Proc. 5th Inst. Metals Int. Rolling Conf., London, 1990.
21. A. Halouskova, M. Karny, and I. Nagy, "Adaptive cross-direction control of paper basis weight," Automatica, vol. 29, pp. 425-429, 1993.
22. W. P. Heath, "Orthogonal functions for cross-directional control of web forming processes," Automatica, vol. 32, no. 2, pp. 183-198, 1995.
23. E. M. Heaven, I. M. Jonsson, T. M. Kean, M. A. Maness, and R. N. Vyse, "Recent advances in cross machine profile control," IEEE Contr. Syst. Mag., vol. 14, no. 5, pp. 35-46, 1994.
24. Z. Jiang, G. Sang, Q. Zhang, D. Ma, C. Tang, and G. Wu, "Shifting-roll profile and control characteristics," J. Mat. Proc. Tech., vol. 37, no. 1, pp. 53-60, 1993.
25. G. Kastenakis, "Predicting and verifying best quality control under particular conditions," Tappi J., vol. 73, no. 12, pp. 203-207, 1990.
26. K. Kristinsson and G. A. Dumont, "Papaer machine cross-directional basis weight control using Gram polynomials" in Proc. 2nd IEEE Conf. Contr. Applicat., Vancouver, BC, Canada, 1993, pp. 235-240.
27. D. L. Laughlin, M. Morari, and R. D. Braatz, "Robust performance of cross-directional basis-weight control in paper machines," Automatica, vol. 29, no. 6, pp. 1395-1410, 1993.
28. S. Levy and J. F. Carley, Plastics Extrusion Technology Handbook, 2nd ed. New York: Industrial, 1989.
29. B. V. Molotilov, I. P. Shabalov, and A. I. Deev, "Trends in developments of casting and rolling units," Steel in the USSR, vol. 21, no. 6, pp. 264-267, 1991.
30. Z. Nesic, M. S. Davies, and G. A. Dumont, "Paper machine data compression using wavelets," in Proc. 5th IEEE Conf. Contr. Applicat., Dearborn, MI, 1996, pp. 161-166.
31. Y. Nesterov and A. Nemirovsky, "Interior-point polynomial algorithms in convex programming," in Studies in Applied Mathematics, vol. 13. Philadelphia, PA: SIAM, 1994.
32. A. Rigopoulos, Y. Arkun, and F. Kayihan, "Control relevant disturbance modelling of paper machine full profile properties using adaptive PCA," in Proc. CPPA Control Systems 96 Conf., Halifax, Nova Scotia, Canada, 1996, pp. 35-39.
33. J. A. Rossiter and B. Kouvaritakis, "Constrained stable generalised predictive control," Inst. Elec. Eng. Proc. Contr. Theory and Applicat., vol. 140, no. 4, pp. 243-254, 1993.
34. T. M. Sheppard and J. M. Roberts, "Shape control and correction in strip and sheet," Int. Metallurgical Rev., vol. 18, pp. 1-18, 1973.
35. P. D. Spooner and G. F. Bryant, "Analysis of shape and discussion of problems of scheduling, setup, and shape control," in Proc. Metals Soc. Conf. on Shape and Control, Chester, U.K., 1973.
36. R. G. Wilhelm and M. Fjeld, "Control algorithms for cross-directional control: the state of the art," in Proc. 5th Conf. on Instrumentation and Automat. in the Paper, Rubber, Plastics and Polymerisation Industries (PRP 5), Antwerp, Belgium, 1983, pp. 163-174.