Regular Papers

International Journal of Control, Automation and Systems 2015; 13(3): 689-696

Published online March 28, 2015

https://doi.org/10.1007/s12555-014-0097-1

© The International Journal of Control, Automation, and Systems

Transverse Vibration Control of Axially Moving Web Systems by Regulation of Axial Tension

Quoc Chi Nguyen*, Thanh Hai Le, and Keum-Shik Hong

Ho Chi Minh City University of Technology

Abstract

In this paper, an active control scheme to suppress the transverse vibrations of an axially moving web system by regulating its transport velocity to track a desired profile is investigated. The spatially varying tension and the time-varying transport velocity of the moving web are inter-related. The system dynamics includes the equations of motion of the moving web and the dynamics of the drive rollers at boundaries of the web span. The two roller motors provide control torque inputs to the web system. The strategy for vibration control is the regulation of the axial tension in reference to a de-signed profile, so that the vibration energy of the moving web system decays. The designed profile for the axial tension is designed via the total mechanical energy of the axially moving web system. The Lyapunov method is employed to derive the model-based torque control laws ensuring that the trans-verse vibration and the velocity tracking error converge to zero exponentially. The effectiveness of the proposed control scheme is demonstrated via numerical simulations.

Keywords Axially moving string, boundary control, exponential stability, Lyapunov method, tension regulation.

Article

Regular Papers

International Journal of Control, Automation and Systems 2015; 13(3): 689-696

Published online June 1, 2015 https://doi.org/10.1007/s12555-014-0097-1

Copyright © The International Journal of Control, Automation, and Systems.

Transverse Vibration Control of Axially Moving Web Systems by Regulation of Axial Tension

Quoc Chi Nguyen*, Thanh Hai Le, and Keum-Shik Hong

Ho Chi Minh City University of Technology

Abstract

In this paper, an active control scheme to suppress the transverse vibrations of an axially moving web system by regulating its transport velocity to track a desired profile is investigated. The spatially varying tension and the time-varying transport velocity of the moving web are inter-related. The system dynamics includes the equations of motion of the moving web and the dynamics of the drive rollers at boundaries of the web span. The two roller motors provide control torque inputs to the web system. The strategy for vibration control is the regulation of the axial tension in reference to a de-signed profile, so that the vibration energy of the moving web system decays. The designed profile for the axial tension is designed via the total mechanical energy of the axially moving web system. The Lyapunov method is employed to derive the model-based torque control laws ensuring that the trans-verse vibration and the velocity tracking error converge to zero exponentially. The effectiveness of the proposed control scheme is demonstrated via numerical simulations.

Keywords: Axially moving string, boundary control, exponential stability, Lyapunov method, tension regulation.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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