This paper investigates the role of active dancers in attenuation of web tension disturbances in a web process line. A general structure of the active dancer is considered; governing equations for web spans upstream and downstream to the dancer roller are developed. A structural limitation that facilitates efficient design of the active dancer system for web tension disturbance attenuation is derived and discussed based on the developed model. An open-architecture experimental web platform is developed for conducting real-time control experiments using the active dancer system. The active dancer system model is experimentally identified using the standard system identification techniques available in literature. Three types of control designs were investigated for the active dancer system: a proportional-integral-derivative controller, an internal model based controller, and a linear quadratic optimal controller. Data collected from a series of experiments using the three control designs validate the usefulness of the active dancers in attenuating web tension disturbances in a web process line. A representative sample of the experimental data is presented and discussed.

Issue Section:
Technical Papers
Keywords:
process control, force control, materials handling, three-term control, identification, real-time systems, linear quadratic control, open systems
Topics:
Rollers, Tension, Arches, Control equipment, Design
1.
Campbell, D. P., 1958, Dynamic Behavior of the Production Process, Process Dynamics, John Wiley and Sons, Inc., New York, first edition.
2.
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.
3.
King, D., 1969, “The Mathematical Model of a Newspaper Press,” Newspaper Techniques, pp. 3–7.
4.
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.
5.
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.
6.
Shin, K. H., 1991, “Distributed Control of Tension in Multi-Span Web Transport Systems,” Ph.D. thesis, Oklahoma State University, Stillwater, Oklahoma.
7.
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
.
8.
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.
9.
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.
10.
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.
11.
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.
12.
Rajala, G. J., 1995, Active Dancer Control for Web Handling Machine, M.S. thesis, University of Wisconsin, Madison, WI.
13.
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.
14.
Perera, L. P., 2001, “The Role of Active Dancers in Tension Control of Webs,” M.S. thesis, Oklahoma State University, Stillwater, OK.
15.
Skogestad, S., and Postlethwaite, I., 1996, Multivariable Feedback Control: Analysis and Design, John Wiley and Sons, New York.
16.
Ljung, L., and Soderstrom, T., 1983, Theory and Practice of Recursive Identification, MIT Press, Cambridge, MA.
17.
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
.
18.
Hagan, M., Demuth, H., and Beale, M., 1996, Neural Network Design, PWS Publishing, Boston, MA.
19.
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
.
20.
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
.
21.
Abdul-Al-Nadi, D. I., 1991, ARMA Order Determination, M.S. thesis, Oklahoma State University.
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