During continuous manufacture of axially moving materials such as fiber, paper, foil, and film, accurate speed and tension control are essential. In this paper, control torques applied to rollers at the boundaries of an axially moving system regulate the material speed and tension using speed and tension sensors for each roller. Given a distributed parameter model, Lyapunov techniques are used to develop a model-based boundary control system that exponentially stabilizes the material tension and speed at desired setpoints and stabilizes longitudinal vibration. Experimental results compare the tension and speed setpoint regulation provided by the proposed control strategy with proportional plus integral speed control and proportional tension feedback. [S0022-0434(00)00203-3]

1.
McDow
,
B.
, and
Rahn
,
C.
,
1998
, “
Adaptive Web Tension Control Using Dancer Arms
,”
Tappi J.
,
81
, No.
10
, pp.
197
205
.
2.
Weiss, H. L., 1983, Control Systems for Web-Fed Machinery, Converting Technology Company.
3.
Campbell, D. P., 1958, Process Dynamics, Wiley, New York, pp. 138–156.
4.
Wickert
,
J.
, and
Mote
, Jr.,
C. D.
,
1988
, “
Current Research on the Vibration and Stability of Axially-Moving Materials
,”
Shock Vibr. Dig.
,
20
, No.
5
, pp.
3
13
.
5.
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
.
6.
Ebler
,
N. A.
,
Arnason
,
R.
, and
Michaelis
,
G.
,
1993
, “
Tension Control: Dancer Rolls or Load Cells
,”
IEEE Trans. Ind. Appl.
,
29
, No.
4
, pp.
727
739
.
7.
Mathur
,
P. D.
, and
Messner
,
W.
,
1997
, “
Controller Development for a Prototype High-Speed Low-Tension Tape Transport
,”
IEEE Trans. Control Syst. Technol.
,
6
, No.
4
, pp.
534
542
.
8.
Choi
,
S. B.
,
1997
, “
Feedback Control of Tension in a Moving Tape Using an ER Brake Actuator
,”
Mechatronics
,
7
, No.
1
, pp.
53
66
.
9.
Balas
,
M.
,
1978
, “
Active Control of Flexible Systems
,”
J. Optim. Theory Appl.
,
25
, No.
3
, pp.
415
436
.
10.
Lee
,
Seung-Yop
, and
Mote
, Jr.,
C. D.
,
1996
, “
Vibration Control of an Axially Moving Material by Boundary Control
,”
ASME J. Dyn. Syst., Meas., Control
,
118
, pp.
66
74
.
11.
Ying
,
S.
, and
Tan
,
C. A.
,
1996
, “
Active Vibration Control of the Axially Moving Material Using Space Feedforward and Feedback Controllers
,”
ASME J. Vibr. Acoust.
,
118
, pp.
306
312
.
12.
de Queiroz
,
M. S.
,
Dawson
,
D. M.
,
Rahn
,
C. D.
, and
Zhang
,
F.
,
1999
, “
Adaptive Vibration Control of an Axially Moving String
,”
ASME J. Vibr. Acoust.
,
121
, pp.
41
49
.
13.
Li, Y., Aron, D., and Rahn, C., 1999, “Vibration Isolation Control for Axially Moving Strings,” 1999 American Control Conference, San Diego, CA, June 1999.
14.
Baicu
,
C. F.
,
Rahn
,
C. D.
, and
Dawson
,
D. M.
,
1999
, “
Exponentially Stabilizing Boundary Control of String-Mass Systems
,”
J. Vib. Control
,
5
, pp.
491
502
.
15.
Costescu
,
N.
,
Dawson
,
D. M.
, and
Loffler
,
M.
,
1999
, “
Qmotor 2.0—A PC Based Real-Time Multitasking Graphical Control Environment
,”
IEEE Control Syst. Mag. Appl.
,
18
, No.
1
, pp.
13
22
.
16.
Rahn
,
C.
,
Zhang
,
F.
,
Joshi
,
S.
, and
Dawson
,
D.
,
1999
, “
Asymptotically Stabilizing Angle Feedback for a Flexible Cable Gantry Crane
,”
ASME J. Dyn. Syst., Meas., Control
,
121
, No.
3
, pp.
563
656
.
17.
Dawson, D. M., Hu, J., and Burg, T. C., 1998, Nonlinear Control of Electric Machinery, Marcel Dekker.
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