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TECHNICAL PAPERS

Periodic Tension Disturbance Attenuation in Web Process Lines Using Active Dancers

[+] Author and Article Information
Prabhakar R. Pagilla, Ramamurthy V. Dwivedula, Yongliang Zhu, Lokukaluge P. Perera

School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078-5016

J. Dyn. Sys., Meas., Control 125(3), 361-371 (Sep 18, 2003) (11 pages) doi:10.1115/1.1590678 History: Received September 25, 2001; Revised January 21, 2003; Online September 18, 2003
Copyright © 2003 by ASME
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References

Campbell, D. P., 1958, Dynamic Behavior of the Production Process, Process Dynamics, John Wiley and Sons, Inc., New York, first edition.
Grenfell, K. P., 1963, “Tension Control on Paper-Making and Converting Machinery,” IEEE 9-th Annual Conference on Electrical Engineering in the Pulp and Paper Industry, Boston, MA, pp. 20–21.
King, D., 1969, “The Mathematical Model of a Newspaper Press,” Newspaper Techniques, pp. 3–7.
Brandenburg, G., 1977, “New Mathematical Models for Web Tension and Register Error,” International IFAC Conference on Instrumentation and Automation in the Paper, Rubber, and Plastics Industry, Vol. 1, pp. 411–438.
Shelton, J. J., 1986, “Dynamics of Web Tension Control With Velocity or Torque Control,” Proceedings of the American Control Conference, Seattle, WA, pp. 1423–1427.
Shin, K. H., 1991, “Distributed Control of Tension in Multi-Span Web Transport Systems,” Ph.D. thesis, Oklahoma State University, Stillwater, Oklahoma.
Young,  G. E., and Reid,  K. N., 1993, “Lateral and Longitudinal Dynamic Behavior and Control of Moving Webs,” ASME J. Dyn. Syst., Meas., Control, 115, pp. 309–317.
Wolfermann, W., 1995, “Tension Control of Webs, a Review of the Problems and Solutions in the Present and Future,” Proceedings of the Third International Conference on Web Handling, pp. 198–229.
Shelton, J. J., 1999, “Limitations to Sensing of Web Tension by Means of Roller Reaction Forces,” Proceedings of the Fifth International Conference on Web Handling.
Reid, K. N., and Lin, K. C., 1993. “Dynamic Behavior of Dancer Subsystems in Web Transport Systems,” Proceedings of the Second International Conference on Web Handling, pp. 135–146.
Kuribayashi, K., and Nakajima, K., 1984, “An Active Dancer Roller System for Tension Control of Wire and Sheet,” Proceedings of the 9th Triennial World Congress of IFAC, Budapest, Hungary, pp. 1747–1752.
Rajala, G. J., 1995, Active Dancer Control for Web Handling Machine, M.S. thesis, University of Wisconsin, Madison, WI.
Pagilla, P. R., Perera, L. P., and Dwivedula, R. V., 2001, “The Role of Active Dancers in Tension Control of Webs,” Proceedings of the Sixth International Conference on Web Handling.
Perera, L. P., 2001, “The Role of Active Dancers in Tension Control of Webs,” M.S. thesis, Oklahoma State University, Stillwater, OK.
Skogestad, S., and Postlethwaite, I., 1996, Multivariable Feedback Control: Analysis and Design, John Wiley and Sons, New York.
Ljung, L., and Soderstrom, T., 1983, Theory and Practice of Recursive Identification, MIT Press, Cambridge, MA.
Woodward,  W. A., and Gray,  H. L., 1981, “On the Relationship Between the S Array and the Box-Jenkins Method of ARMA Model Identification,” J. Am. Stat. Assoc., 76, pp. 579–587.
Hagan, M., Demuth, H., and Beale, M., 1996, Neural Network Design, PWS Publishing, Boston, MA.
Hsieh,  C.-H., and Hwang,  C., 1990, “Model Reduction of Linear Discrete-Time Systems Using Bilinear Schwarz Approximation,” Int. J. Syst. Sci., 21, pp. 33–49.
Moore,  K. L., Dahleh,  M., and Bhattacharya,  S. P., 1992, “Iterative Learning Control: A Survey and New Results,” J. Rob. Syst., 9, pp. 563–594.
Abdul-Al-Nadi, D. I., 1991, ARMA Order Determination, M.S. thesis, Oklahoma State University.

Figures

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Dancer spans: unstretched and stretched conditions
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Root locus plot for L1>L2
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Root locus plot for L1=L2
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Root locus plot for L1<L2/2
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Interpretation of the effect of span lengths
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Sketch of the experimental web platform
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Picture of the web platform
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Picture of the active dancer system
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Theoretical and identified Bode plots
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Tension with out-of-round idle roller (disturbance and PID control); vr=1.772 m/s (350 FPM),tr=160.14 N (36 lbf)
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Tension with out-of-round idle roller (IMC and LQR); vr=1.772 m/s (350 FPM),tr=160.14 N (36 lbf)
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Summary of tension disturbance reduction

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