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Transverse vibration control of axially moving web systems by regulation of axial tension

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  • Control Applications
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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 designed 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 transverse vibration and the velocity tracking error converge to zero exponentially. The effectiveness of the proposed control scheme is demonstrated via numerical simulations.

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Author information

Authors and Affiliations

  1. Department of Mechatronics, Ho Chi Minh City University of Technology, 268 Ly Thuong Kiet, District 10, Ho Chi Minh City, Vietnam

    Quoc Chi Nguyen & Thanh Hai Le

  2. School of Mechanical Engineering, Pusan National University, 2 Busandaehak-ro, Geumjeonggu, Busan, 609-735, Korea

    Keum-Shik Hong

Authors
  1. Quoc Chi Nguyen
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  2. Thanh Hai Le
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  3. Keum-Shik Hong
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Corresponding author

Correspondence to Quoc Chi Nguyen.

Additional information

Quoc Chi Nguyen received his B.S. degree in Mechanical Engineering from Ho Chi Minh City University of Technology, Vietnam, in 2002, an M.S. degree in Cybernetics from Ho Chi Minh City University of Technology, Vietnam, in 2006, and a Ph.D. degree in Mechanical Engineering from the Pusan National University, Korea, in 2012. Dr. Nguyen was a Marie Curie FP7 postdoctoral fellow at the School of Mechanical Engineering, Tel Aviv University, from 2013 to 2014. He has been a faculty member in the Department of Mechatronics Engineering, Ho Chi Minh University of Technology since 2002. Dr. Nguyen’s current research interests include MEMS control, nonlinear systems theory, adaptive control, and distributed parameter systems.

Thanh Hai Le received his B.S. degree in Mechatronics Engineering from Ho Chi Minh City University of Technology, Vietnam, in 2003, an M.S. degree in Biomechatronic Engineering from Sung-KyunKwan University, Korea, in 2007, and a Ph.D. degree in Bio-mechatronic Engineering from the SungKyunKwan University, Korea, in 2011. He has been a faculty member in the Department of Mechatronics Engineering, Ho Chi Minh University of Technology since 2011. Dr. Le’s current research interests include nonlinear systems theory, robotics, and image processing.

Keum-Shik Hong received his B.S. degree in Mechanical Design and Production Engineering from Seoul National University in 1979, an M.S. degree in Mechanical Engineering from Columbia University, New York, in 1987, and both an M.S. degree in Applied Mathematics and a Ph.D. degree in Mechanical Engineering from the University of Illinois at Urbana-Champaign (UIUC) in 1991. Dr. Hong served as Editor-in-Chief of the Journal of Mechanical Science and Technology (2008–2011), and served as an Associate Editor for Automatica (2000–2006), and as Deputy Editor-in-Chief for the International Journal of Control, Automation, and Systems (2003–2005). He also served as General Secretary of the Asian Control Association (2006–2008). Dr. Hong was Organizing Chair of the ICROS-SICE International Joint Conference 2009, Fukuoka, Japan. His laboratory, Integrated Dynamics and Control Engineering Laboratory, was designated as a National Research Laboratory by the MEST of Korea in 2003. Dr. Hong received various awards including the Presidential Award of Korea (2007) for his contributions in academia. Dr. Hong’s current research interests include brain-computer interface, nonlinear systems theory, adaptive control, distributed parameter systems, autonomous systems, and innovative control applications in brain engineering.

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Nguyen, Q.C., Le, T.H. & Hong, KS. Transverse vibration control of axially moving web systems by regulation of axial tension. Int. J. Control Autom. Syst. 13, 689–696 (2015). https://doi.org/10.1007/s12555-014-0097-1

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

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