Abstract
This paper presents a comprehensive review of significant works on active vibration control of axially moving systems. Owing to their broad applications, vibration suppression techniques for these systems have generated active research over decades. Mathematical equations for five different models (i.e., string, beam, coupled, plate, and approximated model) are outlined. Active vibration control of axially moving systems can be performed based on a finite-dimensional model described by ordinary differential equations (ODEs) or an infinite-dimensional model described by partial differential equations (PDEs). For ODE models, the sliding mode control is most representative. For PDE models, however, there exist various methods, including wave cancellation, Lyapunov method, adaptive control, and hybrid control. Control applications (lifting systems, steel industry, flexible electronics, and roll-to-roll systems) are also illustrated. Finally, several issues for future research in vibration control of axially moving systems are discussed.
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D. Goswamin, J. D. Munera, A. Pal, B. Sadri, C. L. P. Scarpetti, and R. V. Martinez, “Roll-to-roll nanoforming of metals using laser-induced superplasticity,” Nano Letters, vol. 18, no. 6, pp. 3616–3622, 2018.
R. D. Swope and W. F. Ames, “Vibrations of a moving threadline,” Journal of the Franklin Institute-Engineering and Applied Mathematics, vol. 275, no. 1, pp. 36–55, 1963.
W. D. Zhu and C. D. Mote, “Free and forced response of an axially moving string transporting a damped linear-oscillator,” Journal of Sound and Vibration, vol. 177, no. 5, pp. 591–610, 1994.
X. D. Yang, H. Wu, Y. J. Qian, W. Zhang, and C. W. Lim, “Nonlinear vibration analysis of axially moving strings based on gyroscopic modes decoupling,” Journal of Sound and Vibration, vol. 393, pp. 308–320, 2017.
G. Suweken and W. T. Van Horssen, “On the transversal vibrations of a conveyor belt with a low and time-varying velocity. Part I: The string-like case,” Journal of Sound and Vibration, vol. 264, no. 1, pp. 117–133, 2003.
S. Mahalingam, “Transverse vibrations of power transmission chains,” British Journal of Applied Physics, vol. 8, no. 4, p. 145, 1957.
R. F. Fung, P. Y. Lu, and C. C. Tseng, “Non-linearly dynamic modelling of an axially moving beam with a tip mass,” Journal of Sound and Vibration, vol. 218, no. 4, pp. 559–571, 1998.
E. Ozkaya and M. Pakdemirli, “Group-theoretic approach to axially accelerating beam problem,” Acta Mechanica, vol. 155, no. 1–2, pp. 111–123, 2002.
L. H. Wang, Z. D. Hu, Z. Zhong, and J. W. Ju, “Dynamic analysis of an axially translating viscoelastic beam with an arbitrarily varying length,” Acta Mechanica, vol. 214, no. 3–4, pp. 225–244, 2010.
J. A. Wickert, “Nonlinear vibration of a traveling tensioned beam,” International Journal of Non-Linear Mechanics, vol. 27, no. 3, pp. 503–517, 1992.
X. D. Yang, M. Liu, Y. J. Qian, S. Yang, and W. Zhang, “Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method,” Acta Mechanica, vol. 228, no. 2, pp. 465–474, 2017.
H. Ding and L. Q. Chen, “Galerkin methods for natural frequencies of high-speed axially moving beams,” Journal of Sound and Vibration, vol. 329, no. 17, pp. 3484–3494, 2010.
H. Ding and L. Q. Chen, “Natural frequencies of nonlinear transverse vibration of axially moving beams in the supercritical regime,” Advances in Vibration Engineering, vol. 10, no. 3, pp. 261–272, 2011.
M. H. Ghayesh and H. Farokhi, “Nonlinear dynamical behavior of axially accelerating beams: three-dimensional analysis,” Journal of Computational and Nonlinear Dynamics, vol. 11, no. 1, 011010, 2016.
A. L. Thurman and C. D. Mote, “Free, periodic, nonlinear oscillation of an axially moving strip,” Journal of Applied Mechanics-Trans. of the ASME, vol. 36, no. 1, pp. 83–91, 1969.
A. Tonoli, E. Zenerino, and N. Amati, “Modeling the flexural dynamic behavior of axially moving continua by using the finite element method,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 136, no. 1, 011012, 2014.
L. Q. Chen and H. Ding, “Steady-state transverse response in coupled planar vibration of axially moving viscoelastic beams,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 132, no. 1, 011009, 2010.
M. Abedi, A. Asnafi, and K. Karami, “To obtain approximate probability density functions for a class of axially moving viscoelastic plates under external and parametric white noise excitation,” Nonlinear Dynamics, vol. 78, no. 3, pp. 1717–1727, 2014.
A. G. Arani and E. Haghparast, “Size-dependent vibration of axially moving viscoelastic micro-plates based on sinusoidal shear deformation theory,” International Journal of Applied Mechanics, vol. 9, no. 2, 1750026, 2017.
A. G. Arani, E. Haghparast, and H. B. Zarei, “Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field,” Physica B-Condensed Matter, vol. 495, pp. 35–49, 2016.
S. Hatami, M. Azhari, and M. M. Saadatpour, “Exact and semi-analytical finite strip for vibration and dynamic stability of traveling plates with intermediate supports,” Advances in Structural Engineering, vol. 9, no. 5, pp. 639–651, 2006.
S. Hatami, M. Azhari, and M. M. Saadatpour, “Stability and vibration of elastically supported, axially moving orthotropic plates,” Iranian Journal of Science and Technology Transaction B-Engineering, vol. 30, no. B4, pp. 427–446, 2006.
H. Y. Li, J. Li, T. Y. Lang, and X. Zhu, “Dynamics of an axially moving unidirectional plate partially immersed in fluid under two frequency parametric excitation,” International Journal of Non-Linear Mechanics, vol. 99, pp. 31–39, 2018.
K. Marynowski and Z. Koakowski, “Dynamic behaviour of an axially moving thin orthotropic plate,” Journal of Theoretical and Applied Mechanics, vol. 37, pp. 109–128, 1999.
E. W. Chen, J. Wang, K. Zhong, Y. M. Lu, and H. Z. Wei, “Vibration dissipation of an axially traveling string with boundary dam**,” Journal of Vibroengineering, vol. 19, no. 8, pp. 5780–5795, 2017.
J. He and H. Yamakawa, “Dynamic analysis and optimum design for control of beams with time-dependent changes of length,” Structural Optimization, vol. 18, no. 1, pp. 24–29, 1999.
E. Imanishi and N. Sugano, “Vibration control of cantilever beams moving along the axial direction,” JSME International Journal Series C-Mechanical Systems Machine Elements and Manufacturing, vol. 46, no. 2, pp. 527–532, 2003.
J. Li, Y. H. Yan, X. H. Guo, and Y. Q. Wang, “Research on vibration control method of steel strip for a continuous hot-dip galvanizing line,” ISIJ International, vol. 52, no. 6, pp. 1072–1079, 2012.
Y. K. Wang and C. D. Mote, “Active and passive vibration control of an axially moving beam by smart hybrid bearings,” Journal of Sound and Vibration, vol. 195, no. 4, pp. 575–584, 1996.
Y. W. Zhang, S. Hou, K. F. Xu, T. Z. Yang, and L. Q. Chen, “Forced vibration control of an axially moving beam with an attached nonlinear energy sink,” Acta Mechanica Solida Sinica, vol. 30, no. 6, pp. 674–682, 2017.
Y. W. Zhang, B. Yuan, B. Fang, and L. Q. Chen, “Reducing thermal shock-induced vibration of an axially moving beam via a nonlinear energy sink,” Nonlinear Dynamics, vol. 87, no. 2, pp. 1159–1167, 2017.
Y. W. Zhang, J. Zang, T. Z. Yang, B. Fang, and X. Wen, “Vibration suppression of an axially moving string with transverse wind loadings by a nonlinear energy sink,” Mathematical Problems in Engineering, 349042, 2013.
Y. W. Zhang, Z. Zhang, L. Q. Chen, T. Z. Yang, B. Fang, and J. Zang, “Impulse-induced vibration suppression of an axially moving beam with parallel nonlinear energy sinks,” Nonlinear Dynamics, vol. 82, no. 1–2, pp. 61–71, 2015.
C. H. Chung and C. A. Tan, “Active vibration control of the axially moving string by wave cancellation,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 117, no. 1, pp. 49–55, 1995.
R. F. Fung, J. H. Chou, and Y. L. Kuo, “Optimal boundary control of an axially moving material system,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 124, no. 1, pp. 55–61, 2002.
R. F. Fung, J. H. Lin, and C. M. Yao, “Vibration analysis and suppression control of an elevator string actuated by a PM synchronous servo motor,” Journal of Sound and Vibration, vol. 206, no. 3, pp. 399–423, 1997.
R. F. Fung, J. W. Wu, and P. Y. Lu, “Adaptive boundary control of an axially moving string system,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 124, no. 3, pp. 435–440, 2002.
S. Y. Lee and C. D. Mote, “Vibration control of an axially moving string by boundary control,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 118, no. 1, pp. 66–74, 1996.
A. G. Ulsoy, “Vibration control in rotating or translating elastic-systems,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 106, no. 1, pp. 6–14, 1984.
K. J. Yang, K.-S. Hong, and F. Matsuno, “Boundary control of an axially moving steel strip under a spatiotemporally varying tension,” JSME International Journal Series C-Mechanical Systems Machine Elements and Manufacturing, vol. 47, no. 2, pp. 665–674, 2004.
K. J. Yang, K.-S. Hong, and F. Matsuno, “Robust adaptive boundary control of an axially moving string under a spatio temporally varying tension,” Journal of Sound and Vibration, vol. 273, no. 4–5, pp. 1007–1029, 2004.
S. P. Nagarkatti, F. Zhang, B. T. Costic, D. M. Dawson, and C. D. Rahn, “Speed tracking and transverse vibration control of an axially accelerating web,” Mechanical Systems and Signal Processing, vol. 16, no. 2–3, pp. 337–356, 2002.
W. He, X. Y. He, and C. Y. Sun, “Vibration control of an industrial moving strip in the presence of input deadzone,” IEEE Trans. on Industrial Electronics, vol. 64, no. 6, pp. 4680–4689, 2017.
B. Yang, “Vibration control of gyroscopic systems via direct velocity feedback,” Journal of Sound and Vibration, vol. 175, no. 4, pp. 525–534, 1994.
R. F. Fung and C. C. Liao, “Application of variable-structure control in the nonlinear string system,” International Journal of Mechanical Sciences, vol. 37, no. 9, pp. 985–993, 1995.
L. Wang, H. H. Chen, and X. D. He, “Active H-infinity control of the vibration of an axially moving cantilever beam by magnetic force,” Mechanical Systems and Signal Processing, vol. 25, no. 8, pp. 2863–2878, 2011.
C. A. Tan and S. Ying, “Active wave control of the axially moving string: Theory and experiment,” Journal of Sound and Vibration, vol. 236, no. 5, pp. 861–880, 2000.
S. Ying and C. A. Tan, “Active vibration control of the axially moving string using space feedforward and feedback controllers,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 118, no. 3, pp. 306–312, 1996.
R. F. Fung and C. C. Tseng, “Boundary control of an axially moving string via Lyapunov method,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 121, no. 1, pp. 105–110, 1999.
F. Guo, F. Luo, Y. Liu, and Y. L. Wu, “Adaptive output feedback boundary control for a class of axially moving system,” IET Control Theory and Applications, vol. 13, no. 2, pp. 213–221, 2019.
S. Y. Lee and C. D. Mote, “Wave characteristics and vibration control of translating beams by optimal boundary dam**,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 121, no. 1, pp. 18–25, 1999.
L. Q. Chen and W. Zhang, “Adaptive vibration reduction of an axially moving string via a tensioner,” International Journal of Mechanical Sciences, vol. 48, no. 12, pp. 1409–1415, 2006.
Y. Liu, Z. J. Zhao, and F. Guo, “Adaptive Lyapunov-based backstep** control for an axially moving system with input saturation,” IET Control Theory and Applications, vol. 10, no. 16, pp. 2083–2092, 2016.
Y. Liu, Z. J. Zhao, and W. He, “Boundary control of an axially moving accelerated/decelerated belt system,” International Journal of Robust and Nonlinear Control, vol. 26, no. 17, pp. 3849–3866, 2016.
Z. J. Zhao, Y. Liu, W. He, and F. Luo, “Adaptive boundary control of an axially moving belt system with high acceleration/deceleration,” IET Control Theory and Applications, vol. 10, no. 11, pp. 1299–1306, 2016.
P. C. P. Chao and C. L. Lai, “Boundary control of an axially moving string via fuzzy sliding-mode control and fuzzy neural network methods,” Journal of Sound and Vibration, vol. 262, no. 4, pp. 795–813, 2003.
J. S. Huang, P. C. P. Chao, R. F. Fung, and C. L. Lai, “Parametric control of an axially moving string via fuzzy sliding-mode and fuzzy neural network methods,” Journal of Sound and Vibration, vol. 264, no. 1, pp. 177–201, 2003.
M. A. Foda, “Vibration control and suppression of an axially moving string,” Journal of Vibration and Control, vol. 18, no. 1, pp. 58–75, 2012.
M. A. Foda, “Transverse vibration control of translating visco-elastically connected double-string-like continua,” Journal of Vibration and Control, vol. 19, no. 9, pp. 1316–1332, 2013.
W. Zhang and L. Q. Chen, “Vibration control of an axially moving string system: Wave cancellation method,” Applied Mathematics and Computation, vol. 175, no. 1, pp. 851–863, 2006.
W. D. Zhu, J. Ni, and J. Huang, “Active control of translating media with arbitrarily varying length,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 123, no. 3, pp. 347–358, 2001.
E. W. Chen and N. S. Ferguson, “Analysis of energy dissipation in an elastic moving string with a viscous damper at one end,” Journal of Sound and Vibration, vol. 333, no. 9, pp. 2556–2570, 2014.
K.-S. Hong, C. W. Kim, and K. T. Hong, “Boundary control of an axially moving belt system in a thin-metal production line,” International Journal of Control Automation and Systems, vol. 2, no. 1, pp. 55–67, 2004.
J. S. Huang, J. W. Wu, and P. Y. Lu, “A study of moving string with partial state feedback,” International Journal of Mechanical Sciences, vol. 44, no. 9, pp. 1893–1906, 2002.
L. F. Lu, Y. F. Wang, X. R. Liu, and Y. X. Liu, “Delay-induced dynamics of an axially moving string with direct time-delayed velocity feedback,” Journal of Sound and Vibration, vol. 329, no. 26, pp. 5434–5451, 2010.
Y. H. Wu, X. P. Xue, and T. L. Shen, “Absolute stability of the axially moving Kirchhoff string with a sector boundary feedback control,” Nonlinear Dynamics, vol. 80, no. 1–2, pp. 9–22, 2015.
H. Y. Zhao and C. D. Rahn, “On the control of axially moving material systems,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 128, no. 4, pp. 527–531, 2006.
Z. J. Zhao, Y. Liu, and F. Luo, “Infinite-dimensional disturbance-observer-based control for an axially moving non-uniform system with input constraint,” Trans. of the Institute of Measurement and Control, vol. 40, no. 12, pp. 3525–3533, 2018.
A. Tavasoli, “Robust adaptive boundary control of a perturbed hybrid Euler-Bernoulli beam with coupled rigid and flexible motion,” International Journal of Control Automation and Systems, vol. 15, no. 2, pp. 680–688, 2017.
J. J. Wang and Q. H. Ll, “Active vibration control methods of axially moving materials - A review,” Journal of Vibration and Control, vol. 10, no. 4, pp. 475–491, 2004.
L. Q. Chen, “Analysis and control of transverse vibrations of axially moving strings,” Applied Mechanics Reviews, vol. 58, no. 2, pp. 91–116, 2005.
V. A. Bapat and P. Srinivasan, “Nonlinear transverse oscillations in traveling strings by the method of harmonic balance,” Journal of Applied Mechanics-Trans. of the ASME, vol. 34, no. 3, pp. 775–777, 1967.
C. D. Mote, “On the nonlinear oscillation of an axially moving string,” Journal of Applied Mechanics-Trans. of the ASME, vol. 33, no. 2, pp. 463–464, 1966.
W. J. Zhao, L. Q. Chen, and J. W. Zu, “Finite difference method for simulating transverse vibrations of an axially moving viscoelastic string,” Applied Mathematics and Mechanics-English Edition, vol. 27, no. 1, pp. 23–28, 2006.
M. Pakdemirli, A. G. Ulsoy, and A. Ceranoglu, “Transverse vibration of an axially accelerating string,” Journal of Sound and Vibration, vol. 169, no. 2, pp. 179–196, 1994.
M. Pakdemirli and A. G. Ulsoy, “Stability analysis of an axially accelerating string,” Journal of Sound and Vibration, vol. 203, no. 5, pp. 815–832, 1997.
R. F. Fung, P. H. Wang, and M. J. Lee, “Nonlinear vibration analysis of a traveling string with time-dependent length by finite element method,” Journal of the Chinese Institute of Engineers, vol. 21, no. 1, pp. 109–117, 1998.
W. D. Zhu and J. Ni, “Energetics and stability of translating media with an arbitrarily varying length,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 122, no. 3, pp. 295–304, 2000.
M. H. Ghayesh, “Nonlinear transversal vibration and stability of an axially moving viscoelastic string supported by a partial viscoelastic guide,” Journal of Sound and Vibration, vol. 314, no. 3–5, pp. 757–774, 2008.
M. H. Ghayesh and N. Moradian, “Nonlinear dynamic response of axially moving, stretched viscoelastic strings,” Archive of Applied Mechanics, vol. 81, no. 6, pp. 781–799, 2011.
Y. H. Li, Q. Gao, K. L. Jian, and X. G. Yin, “Dynamic responses of viscoelastic axially moving belt,” Applied Mathematics and Mechanics-English Edition, vol. 24, no. 11, pp. 1348–1354, 2003.
T. Z. Yang and B. Fang, “Asymptotic analysis of an axially viscoelastic string constituted by a fractional differentiation law,” International Journal of Non-Linear Mechanics, vol. 49, pp. 170–174, 2013.
T. Z. Yang, X. D. Yang, F. Chen, and B. Fang, “Nonlinear parametric resonance of a fractional damped axially moving string,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 135, no. 6, 064507, 2013.
N. H. Zhang, J. J. Wang, and C. J. Cheng, “Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string,” Applied Mathematics and Mechanics-English Edition, vol. 28, no. 1, pp. 1–9, 2007.
W. J. Zhao and L. Q. Chen, “A numerical algorithm for non-linear parametric vibration analysis of a viscoelastic moving belt,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 3, no. 2, pp. 139–144, 2002.
W. J. Zhao and L. Q. Chen, “Iterative algorithm for axially accelerating strings with integral constitutive law,” Acta Mechanica Solida Sinica, vol. 21, no. 5, pp. 449–456, 2008.
J. A. Wickert, “Response solutions for the vibration of a traveling string on an elastic-foundation,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 116, no. 1, pp. 137–139, 1994.
H. J. Zhang and L. Q. Chen, “Vibration of an axially moving string supported by a viscoelastic foundation,” Acta Mechanica Solida Sinica, vol. 29, no. 3, pp. 221–231, 2016.
M. H. Ghayesh, “Stability characteristics of an axially accelerating string supported by an elastic foundation,” Mechanism and Machine Theory, vol. 44, no. 10, pp. 1964–1979, 2009.
M. H. Ghayesh, “Stability and bifurcations of an axially moving beam with an intermediate spring support,” Nonlinear Dynamics, vol. 69, no. 1–2, pp. 193–210, 2012.
A. Kesimli, E. Ozkaya, and S. M. Bagdatli, “Nonlinear vibrations of spring-supported axially moving string,” Nonlinear Dynamics, vol. 81, no. 3, pp. 1523–1534, 2015.
A. Yurddas, E. Ozkaya, and H. Boyaci, “Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions,” Nonlinear Dynamics, vol. 73, no. 3, pp. 1223–1244, 2013.
A. Yurddas, E. Ozkaya, and H. Boyaci, “Nonlinear vibrations and stability analysis of axially moving strings having nonideal mid-support conditions,” Journal of Vibration and Control, vol. 20, no. 4, pp. 518–534, 2014.
J. S. Chen, “Natural frequencies and stability of an axially-traveling string in contact with a stationary load system,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 119, no. 2, pp. 152–157, 1997.
R. F. Fung, J. S. Huang, and J. J. Chu, “Dynamic stability of an axially travelling string/slider coupling system with moving boundary,” Journal of Sound and Vibration, vol. 211, no. 4, pp. 689–701, 1998.
C. D. Mote, “A study of band saw vibrations,” Journal of the Franklin Institute-Engineering and Applied Mathematics, vol. 279, no. 6, pp. 430–444, 1965.
L. Q. Chen and X. D. Yang, “Stability in parametric resonance of axially moving viscoelastic beams with timedependent speed,” Journal of Sound and Vibration, vol. 284, no. 3–5, pp. 879–891, 2005.
L. Q. Chen and X. D. Yang, “Steady-state response of axially moving viscoelastic beams with pulsating speed: Comparison of two nonlinear models,” International Journal of Solids and Structures, vol. 42, no. 1, pp. 37–50, 2005.
L. Q. Chen and X. D. Yang, “Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation,” Chaos Solitons & Fractals, vol. 27, no. 3, pp. 748–757, 2006.
L. Q. Chen and X. D. Yang, “Vibration and stability of an axially moving viscoelastic beam with hybrid supports,” European Journal of Mechanics a-Solids, vol. 25, no. 6, pp. 996–1008, 2006.
S. H. Chen, J. L. Huang, and K. Y. Sze, “Multidimensional Lindstedt-Poincare method for nonlinear vibration of axially moving beams,” Journal of Sound and Vibration, vol. 306, no. 1–2, pp. 1–11, 2007.
H. R. Oz and M. Pakdemirli, “Vibrations of an axially moving beam with time-dependent velocity,” Journal of Sound and Vibration, vol. 227, no. 2, pp. 239–257, 1999.
C. H. Riedel and C. A. Tan, “Dynamic characteristics and mode localization of elastically constrained axially moving strings and beams,” Journal of Sound and Vibration, vol. 215, no. 3, pp. 455–473, 1998.
J. A. Wickert and C. D. Mote, “On the energetics of axially moving continua,” Journal of the Acoustical Society of America, vol. 85, no. 3, pp. 1365–1368, 1989.
J. A. Wickert and C. D. Mote, “Classical vibration analysis of axially moving continua,” Journal of Applied Mechanics-Trans. of the ASME, vol. 57, no. 3, pp. 738–744, 1990.
S. M. Bagdatli, E. Ozkaya, and H. R. Oz, “Dynamics of axially accelerating beams with multiple supports,” Nonlinear Dynamics, vol. 74, no. 1–2, pp. 237–255, 2013.
H. Ding and L. Q. Chen, “Natural frequencies of nonlinear vibration of axially moving beams,” Nonlinear Dynamics, vol. 63, no. 1–2, pp. 125–134, 2011.
H. Ding and J. W. Zu, “Periodic and chaotic responses of an axially accelerating viscoelastic beam under two-frequency excitations,” International Journal of Applied Mechanics, vol. 5, no. 2, UNSP 1350019, 2013.
X. Y. Mao, H. Ding, and L. Q. Chen, “Forced vibration of axially moving beam with internal resonance in the supercritical regime,” International Journal of Mechanical Sciences, vol. 131, pp. 81–94, 2017.
H. R. Oz, M. Pakdemirli, and H. Boyaci, “Non-linear vibrations and stability of an axially moving beam with time-dependent velocity,” International Journal of Non-Linear Mechanics, vol. 36, no. 1, pp. 107–115, 2001.
F. Pellicano and F. Zirilli, “Boundary layers and nonlinear vibrations in an axially moving beam,” International Journal of Non-Linear Mechanics, vol. 33, no. 4, pp. 691–711, 1998.
B. Ravindra and W. D. Zhu, “Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime,” Archive of Applied Mechanics, vol. 68, no. 3–4, pp. 195–205, 1998.
G. C. Zhang, H. Ding, L. Q. Chen, and S. P. Yang, “Galerkin method for steady-state response of nonlinear forced vibration of axially moving beams at supercritical speeds,” Journal of Sound and Vibration, vol. 331, no. 7, pp. 1612–1623, 2012.
C. An and J. Su, “Dynamic response of axially moving Timoshenko beams: Integral transform solution,” Applied Mathematics and Mechanics-English Edition, vol. 35, no. 11, pp. 1421–1436, 2014.
H. Ding, X. Tan, G. C. Zhang, and L. Q. Chen, “Equilibrium bifurcation of high-speed axially moving Timoshenko beams,” Acta Mechanica, vol. 227, no. 10, pp. 3001–3014, 2016.
A. Mokhtari and H. R. Mirdamadi, “Study on vibration and stability of an axially translating viscoelastic Timoshenko beam: Non-transforming spectral element analysis,” Applied Mathematical Modelling, vol. 56, pp. 342–358, 2018.
Q. Y. Yan, H. Ding, and L. Q. Chen, “Periodic responses and chaotic behaviors of an axially accelerating viscoelastic Timoshenko beam,” Nonlinear Dynamics, vol. 78, no. 2, pp. 1577–1591, 2014.
M. H. Ghayesh and S. Balar, “Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams,” International Journal of Solids and Structures, vol. 45, no. 25’26, pp. 6451–6467, 2008.
M. Rezaee and S. Lotfan, “Non-linear nonlocal vibration and stability analysis of axially moving nanoscale beams with time-dependent velocity,” International Journal of Mechanical Sciences, vol. 96–97, pp. 36–46, 2015.
S. M. Sahebkar, M. R. Ghazavi, S. E. Khadem, and M. H. Ghayesh, “Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well,” Mechanism and Machine Theory, vol. 46, no. 5, pp. 743–760, 2011.
K. W. Wang and C. D. Mote, “Vibration coupling analysis of band-wheel mechanical systems,” Journal of Sound and Vibration, vol. 109, no. 2, pp. 237–258, 1986.
C. H. Riedel and C. A. Tan, “Coupled, forced response of an axially moving strip with internal resonance,” International Journal of Non-Linear Mechanics, vol. 37, no. 1, pp. 101–116, 2002.
K. Y. Sze, S. H. Chen, and J. L. Huang, “The incremental harmonic balance method for nonlinear vibration of axially moving beams,” Journal of Sound and Vibration, vol. 281, no. 3–5, pp. 611–626, 2005.
M. H. Ghayesh, M. Amabili, and M. P. Paidoussis, “Nonlinear vibrations and stability of an axially moving beam with an intermediate spring support: Two-dimensional analysis,” Nonlinear Dynamics, vol. 70, no. 1, pp. 335–354, 2012.
M. H. Ghayesh, S. Kazemirad, and M. Amabili, “Coupled longitudinal-transverse dynamics of an axially moving beam with an internal resonance,” Mechanism and Machine Theory, vol. 52, pp. 18–34, 2012.
M. H. Ghayesh, “Coupled longitudinal-transverse dynamics of an axially accelerating beam,” Journal of Sound and Vibration, vol. 331, no. 23, pp. 5107–5124, 2012.
X. D. Yang and W. Zhang, “Nonlinear dynamics of axially moving beam with coupled longitudinal-transversal vibrations,” Nonlinear Dynamics, vol. 78, no. 4, pp. 2547–2556, 2014.
G. Suweken and W. T. Van Horssen, “On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity,” Nonlinear Dynamics, vol. 31, no. 2, pp. 197–223, 2003.
M. H. Ghayesh and M. Amabili, “Nonlinear dynamics of an axially moving Timoshenko beam with an internal resonance,” Nonlinear Dynamics, vol. 73, no. 1–2, pp. 39–52, 2013.
M. H. Ghayesh and M. Amabili, “Three-dimensional nonlinear planar dynamics of an axially moving Timoshenko beam,” Archive of Applied Mehanics, vol. 83, no. 4, pp. 591–604, 2013.
H. Farokhi, M. H. Ghayesh, and S. Hussain, “Three-dimensional nonlinear global dynamics of axially moving viscoelastic beams,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 138, no. 1, 011007, 2016.
A. G. Ulsoy and C. D. Mote, “Vibration of wide band-saw blades,” Journal of Engineering for Industry-Trans. of the ASME, vol. 104, no. 1, pp. 71–78, 1982.
J. A. Wickert and C. D. Mote, “Linear transverse vibration of an axially moving string-particle system,” Journal of the Acoustical Society of America, vol. 84, no. 3, pp. 963–969, 1988.
F. Pellicano and F. Vestroni, “Nonlinear dynamics and bifurcations of an axially moving beam,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 122, no. 1, pp. 21–30, 2000.
F. Pellicano and F. Vestroni, “Complex dynamics of high-speed axially moving systems,” Journal of Sound and Vibration, vol. 258, no. 1, pp. 31–44, 2002.
G. Michon, L. Manin, R. G. Parker, and R. Dufour, “Duffing oscillator with parametric excitation: analytical and experimental investigation on a belt-pulley system,” Journal of Computational and Nonlinear Dynamics, vol. 3, no. 3, 031001, 2008.
K. Marynowski and J. Grabski, “Dynamic analysis of an axially moving plate subjected to thermal loading,” Mechanics Research Communications, vol. 51, pp. 67–71, 2013.
C. H. Shin, J. T. Chung, and H. H. Yoo, “Dynamic responses of the in-plane and out-of-plane vibrations for an axially moving membrane,” Journal of Sound and Vibration, vol. 297, no. 3–5, pp. 794–809, 2006.
L. H. Wang, Z. D. Hu, and Z. Zhong, “Dynamic analysis of an axially translating plate with time-variant length,” Acta Mechanica, vol. 215, no. 1–4, pp. 9–23, 2010.
M. J. Balas, “Feedback-control of flexible systems,” IEEE Trans. on Automatic Control, vol. 23, no. 4, pp. 673–679, 1978.
C. Edwards and S. Spurgeon, Sliding Mode Control: Theory and Applications, CRC Press, London, 1998.
J. Y. Hung, W. B. Gao, and J. C. Hung, “Variable structure control - a survey,” IEEE Trans. on Industrial Electronics, vol. 40, no. 1, pp. 2–22, 1993.
R. F. Fung, J. S. Huang, Y. C. Wang, and R. T. Yang, “Vibration reduction of the nonlinearly traveling string by a modified variable structure control with proportional and integral compensations,” International Journal of Mechanical Sciences, vol. 40, no. 6, pp. 493–506, 1998.
A. G. Butkovskiy, Structural Theory of Distributed Systems, Halsted Press, John Wiley and Sons, New York, 1983.
B. Yang, “Noncolocated control of a damped string using time-delay,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 114, no. 4, pp. 736–740, 1992.
B. Yang, “Transfer-functions of constrained combined one-dimensional continuous dynamic-systems,” Journal of Sound and Vibration, vol. 156, no. 3, pp. 425–443, 1992.
B. Yang and C. D. Mote, “Vibration control of band saws - theory and experiment,” Wood Science and Technology, vol. 24, no. 4, pp. 355–373, 1990.
B. Yang and C. D. Mote, “Frequency-domain vibration control of distributed gyroscopic systems,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 113, no. 1, pp. 18–25, 1991.
B. Yang and C. D. Mote, “Active vibration control of the axially moving string in the S-domain,” Journal of Applied Mechanics-Trans. of the ASME, vol. 58, no. 1, pp. 189–196, 1991.
J. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice hall, USA, 1991.
T. C. Li and Z. C. Hou, “Exponential stabilization of an axially moving string with geometrical nonlinearity by linear boundary feedback,” Journal of Sound and Vibration, vol. 296, no. 4–5, pp. 861–870, 2006.
S. M. Shahruz, “Boundary control of the axially moving Kirchhoff string,” Automatica, vol. 34, no. 10, pp. 1273–1277, 1998.
S. M. Shahruz, “Boundary control of a nonlinear axially moving string,” International Journal of Robust and Nonlinear Control, vol. 10, no. 1, pp. 17–25, 2000.
S. M. Shahruz and D. A. Kurmaji, “Vibration suppression of a non-linear axially moving string by boundary control,” Journal of Sound and Vibration, vol. 201, no. 1, pp. 145–152, 1997.
S. M. Shahruz and S. A. Parasurama, “Suppression of vibration in the axially moving Kirchhoff string by boundary control,” Journal of Sound and Vibration, vol. 214, no. 3, pp. 567–575, 1998.
T. C. Li, Z. C. Hou, and J. F. Li, “Stabilization analysis of a generalized nonlinear axially moving string by boundary velocity feedback,” Automatica, vol. 44, no. 2, pp. 498–503, 2008.
D. Kim, Y. H. Kang, J. B. Lee, G. R. Ko, and I. H. Jung, “Stabilization of a nonlinear Kirchhoff equation by boundary feedback control,” Journal of Engineering Mathematics, vol. 77, no. 1, pp. 197–209, 2012.
R. F. Fung, J. W. Wu, and S. L. Wu, “Exponential stabilization of an axially moving string by linear boundary feedback,” Automatica, vol. 35, no. 1, pp. 177–181, 1999.
R. F. Fung, J. W. Wu, and S. L. Wu, “Stabilization of an axially moving string by nonlinear boundary feedback,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 121, no. 1, pp. 117–121, 1999.
S. P. Nagarkatti, F. M. Zhang, C. D. Rahn, and D. M. Dawson, “Tension and speed regulation for axially moving materials,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 122, no. 3, pp. 445–453, 2000.
Y. H. Zhang, S. K. Agrawal, and P. Hagedorn, “Longitudinal vibration modeling and control of a flexible transporter system with arbitrarily varying cable lengths,” Journal of Vibration and Control, vol. 11, no. 3, pp. 431–456, 2005.
H. Zhao and C. D. Rahn, “Iterative learning velocity and tension control for single span axially moving materials,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 130, no. 5, pp. 510031–510036, 2008.
Q. C. Nguyen and K.-S. Hong, “Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking,” Journal of Sound and Vibration, vol. 331, no. 13, pp. 3006–3019, 2012.
A. Kelleche, “Boundary control and stabilization of an axially moving viscoelastic string under a boundary disturbance,” Mathematical Modelling and Analysis, vol. 22, no. 6, pp. 763–784, 2017.
A. Kelleche, A. Berkani, and N. E. Tatar, “Uniform stabilization of a nonlinear axially moving string by a boundary control of memory type,” Journal of Dynamical and Control Systems, vol. 24, no. 2, pp. 313–323, 2018.
A. Kelleche and F. Saedpanah, “Stabilization of an axially moving viscoelastic string under a spatiotemporally varying tension,” Mathematical Methods in the Applied Sciences, vol. 41, no. 17, pp. 7852–7868, 2018.
A. Kelleche and N. E. Tatar, “Control and exponential stabilization for the equation of an axially moving viscoelastic strip,” Mathematical Methods in the Applied Sciences, vol. 40, no. 18, pp. 6239–6253, 2017.
A. Kelleche and N. E. Tatar, “Uniform decay for solutions of an axially moving viscoelastic beam,” Applied Mathematics and Optimization, vol. 75, no. 3, pp. 343–364, 2017.
A. Kelleche and N. E. Tatar, “Control of an axially moving viscoelastic Kirchhoff string,” Applicable Analysis, vol. 97, no. 4, pp. 592–609, 2018.
A. Kelleche, N. E. Tatar, and A. Khemmoudj, “Stability of an axially moving viscoelastic beam,” Journal of Dynamical and Control Systems, vol. 23, no. 2, pp. 283–299, 2017.
A. Kelleche, N. E. Tatar, and A. Khemmoudj, “Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type,” Journal of Dynamical and Control Systems, vol. 23, no. 2, pp. 237–247, 2017.
M. S. de Queiroz, D. M. Dawson, C. D. Rahn, and F. Zhang, “Adaptive vibration control of an axially moving string,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 121, no. 1, pp. 41–49, 1999.
Y. G. Li and C. D. Rahn, “Adaptive vibration isolation for axially moving beams,” IEEE-ASME Trans. on Mechatronics, vol. 5, no. 4, pp. 419–428, 2000.
Y. G. Li, D. Aron, and C. D. Rahn, “Adaptive vibration isolation for axially moving strings: theory and experiment,” Automatica, vol. 38, no. 3, pp. 379–390, 2002.
J. Shin, S. Kim, and A. Tsourdos, “Neural-networks-based adaptive control for an uncertain nonlinear system with asymptotic stability,” International Journal of Control Automation and Systems, vol 16, no. 4, pp. 1989–2001, 2018.
K.-Y. Chen, “Robust optimal adaptive sliding mode control with the disturbance observer for a manipulator robot system,” International Journal of Control Automation and Systems, vol. 16, no. 4, pp. 1701–1715, 2018.
A. Abootalebi, F. Sheikholeslam, and S. Hosseinnia, “Adaptive reliable H-infinity control of uncertain affine nonlinear systems,” International Journal of Control Automation and Systems, vol. 16, no. 6, pp. 2665–2675, 2018.
P. A. Ioannou and J. Sun, Robust Adaptive Control, Englewood Cliffs: Prentice-Hall, New York, 1995.
Q. C. Nguyen and K.-S. Hong, “Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control,” Journal of Sound and Vibration, vol. 329, no. 22, pp. 4588–4603, 2010.
L. Dai, L. Sun, and C. Chen, “Control of an extending nonlinear elastic cable with an active vibration control strategy,” Communications in Nonlinear Science and Numerical Simulation, vol. 19, no. 10, pp. 3901–3912, 2014.
L. M. Dai, C. P. Chen, and L. Sun, “An active control strategy for vibration control of an axially translating beam,” Journal of Vibration and Control, vol. 21, no. 6, pp. 1188–1200, 2015.
G. L. Ma, M. L. Xu, Z. Y. An, C. S. Wu, and W. K. Miao, “Active vibration control of an axially moving cantilever structure using MFC,” International Journal of Applied Electromagnetics and Mechanics, vol. 52, no. 3–4, pp. 967–974, 2016.
G. L. Ma, M. L. Xu, S. W. Zhang, Y. H. Zhang, and X. M. Liu, “Active vibration control of an axially moving cantilever structure using PZT actuator,” Journal of Aerospace Engineering, vol. 31, no. 5, 04018049, 2018.
W. D. Zhu and Y. Chen, “Theoretical and experimental investigation of elevator cable dynamics and control,” Journal of Vibration and Acoustics-Trans. of the ASME, vol. 128, no. 1, pp. 66–78, 2006.
J. Wang, S. Koga, Y. J. Pi, and M. Krstic, “Axial vibration suppression in a partial differential equation model of ascending mining cable elevator,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 140, no. 11, 111003, 2018.
J. Wang, S. X. Tang, Y. J. Pi, and M. Krstic, “Exponential regulation of the anti-collocatedly disturbed cage in a wave PDE-modeled ascending cable elevator,” Automatica, vol. 95, pp. 122–136, 2018.
C. S. Kim and K.-S. Hong, “Boundary control of container cranes from the perspective of controlling an axially moving string system,” International Journal of Control Automation and Systems, vol. 7, no. 3, pp. 437–445, 2009.
Q. H. Ngo, K.-S. Hong, and I. H. Jung, “Adaptive control of an axially moving system,” Journal of Mechanical Science and Technology, vol. 23, no. 11, pp. 3071–3078, 2009.
F. Guo, Y. Liu, F. Luo, and Y. L. Wu, “Vibration suppression and output constraint of a variable length drilling riser system,” Journal of the Franklin Institute-Engineering and Applied Mathematics, vol. 356, no. 3, pp. 1177–1195, 2019.
W. He, S. S. Ge, and D. Q. Huang, “Modeling and vibration control for a nonlinear moving string with output constraint,” IEEE-ASME Trans. on Mechatronics, vol. 20, no. 4, pp. 1886–1897, 2015.
W. He, S. X. Nie, T. T. Meng, and Y. J. Liu, “Modeling and vibration control for a moving beam with application in a drilling riser,” IEEE Trans. on Control Systems Technology, vol. 25, no. 3, pp. 1036–1043, 2017.
C. D. Rahn, F. M. Zhang, S. Joshi, and D. M. Dawson, “Asymptotically stabilizing angle feedback for a flexible cable gantry crane,” Journal of Dynamic Systems Measurement and Control-Trans. of the ASME, vol. 121, no. 3, pp. 563–566, 1999.
J. Y. Choi, K.-S. Hong, and K. J. Yang, “Exponential stabilization of an axially moving tensioned strip by passive dam** and boundary control,” Journal of Vibration and Control, vol. 10, no. 5, pp. 661–682, 2004.
C. W. Kim, K.-S. Hong, and H. Park, “Boundary control of an axially moving string: Actuator dynamics included,” Journal of Mechanical Science and Technology, vol. 19, no. 1, pp. 40–50, 2005.
C. W. Kim, H. Park, and K.-S. Hong, “Boundary control of axially moving continua: Application to a zinc galvanizing line,” International Journal of Control Automation and Systems, vol. 3, no. 4, pp. 601–611, 2005.
K. J. Yang, K.-S. Hong, and F. Matsuno, “Energy-based control of axially translating beams: Varying tension, varying speed, and disturbance adaptation,” IEEE Trans. on Control Systems Technology, vol. 13, no. 6, pp. 1045–1054, 2005.
K. J. Yang, K.-S. Hong, and F. Matsuno, “Boundary control of a translating tensioned beam with varying speed,” IEEE-ASME Trans. on Mechatronics, vol. 10, no. 5, pp. 594–597, 2005.
K. J. Yang, K.-S. Hong, and F. Matsuno, “Robust boundary control of an axially moving string by using a PR transfer function,” IEEE Trans. on Automatic Control, vol. 50, no. 12, pp. 2053–2058, 2005.
Q. C. Nguyen and K.-S. Hong, “Stabilization of an axially moving web via regulation of axial velocity,” Journal of Sound and Vibration, vol. 330, no. 20, pp. 4676–4688, 2011.
L. Lasdon, S. Mitter, and A. Waren, “The conjugate gradient method for optimal control problems,” IEEE Trans. on Automatic Control, vol. 12, no. 2, pp. 132–138, 1967.
Q. C. Nguyen and K.-S. Hong, “Transverse vibration control of axially moving membranes by regulation of axial velocity,” IEEE Trans. on Control Systems Technology, vol. 20, no. 4, pp. 1124–1131, 2012.
Q. C. Nguyen, T. H. Le, and K.-S. Hong, “Transverse vibration control of axially moving web systems by regulation of axial tension,” International Journal of Control Automation and Systems, vol. 13, no. 3, pp. 689–696, 2015.
Q. C. Nguyen, M. Piao, and K.-S. Hong, “Multivariable adaptive control of the rewinding process of a roll-to-roll system governed by hyperbolic partial differential equations,” International Journal of Control Automation and Systems, vol. 16, no. 5, pp. 2177–2186, 2018.
Y. Liu, Z. J. Zhao, F. Guo, and Y. Fu, “Vibration control of an axially moving accelerated/decelerated belt system with input saturation,” Trans. of the Institute of Measurement and Control, vol. 40, no. 2, pp. 685–697, 2018.
Y. Liu, Z. J. Zhao, and W. He, “Stabilization of an axially moving accelerated/decelerated system via an adaptive boundary control,” ISA Trans., vol. 64, pp. 394–404, 2016.
Y. Liu, Z. J. Zhao, and W. He, “Boundary control of an axially moving system with high acceleration/deceleration and disturbance observer,” Journal of the Franklin Institute-Engineering and Applied Mathematics, vol. 354, no. 7, pp. 2905–2923, 2017.
Z. J. Zhao, Y. Liu, F. Guo, and Y. Fu, “Modelling and control for a class of axially moving nonuniform system,” International Journal of Systems Science, vol. 48, no. 4, pp. 849–861, 2017.
Z. J. Zhao, Y. Liu, F. Guo, and Y. Fu, “Vibration control and boundary tension constraint of an axially moving string system,” Nonlinear Dynamics, vol. 89, no. 4, pp. 2431–2440, 2017.
Z. J. Zhao, Y. Liu, and F. Luo, “Output feedback boundary control of an axially moving system with input saturation constraint,” ISA Trans., vol. 68, pp. 22–32, 2017.
Z. J. Zhao, Y. H. Ma, G. Y. Liu, D. C. Zhu, and G. L. Wen, “Vibration control of an axially moving system with restricted input,” Complexity, vol. 2109, Article ID 2386435, 2019.
K. Marynowski, Dynamics of the Axially Moving Orthotropic Web, Springer, Berlin, 2008.
K.-S. Hong and U. H. Shah, “Vortex-induced vibrations and control of marine risers: A review,” Ocean Engineering, vol. 152, pp. 300–315, 2018.
U. H. Shah and K.-S. Hong, “Active vibration control of a flexible rod moving in water: Application to nuclear refueling machines,” Automatica, vol. 93, pp. 231–243, 2018.
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Recommended by Editor Kyoung Kwan Ahn. This work was supported by the National Research Foundation (NRF) of Korea under the auspices of the Ministry of Science and ICT, Korea (grant no. NRF-2017R1A2A1A17069430).
Keum-Shik Hong received his B.S. degree in Mechanical Design and Production Engineering from Seoul National University in 1979, his 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. in Mechanical Engineering from the University of Illinois at Urbana-Champaign (UIUC) in 1991. He joined the School of Mechanical Engineering at Pusan National University (PNU) in 1993. His Integrated Dynamics and Control Engineering Laboratory was designated a National Research Laboratory by the Ministry of Science and Technology of Korea in 2003. In 2009, under the auspices of the World Class University Program of the Ministry of Education, Science and Technology (MEST) of Korea, he established the Department of Cogno-Mechatronics Engineering, PNU. Dr. Hong served as Associate Editor of Automatica (2000–2006), as Editor-in-Chief of the Journal of Mechanical Science and Technology (2008–2011), and is serving as Editor-in-Chief of the International Journal of Control, Automation, and Systems. He was a past President of the Institute of Control, Robotics and Systems (ICROS), Korea, and is President-Elect of Asian Control Association. He was the Organizing Chair of the ICROS-SICE International Joint Conference 2009, Fukuoka, Japan. He is an IEEE Fellow, a Fellow of the Korean Academy of Science and Technology, an ICROS Fellow, a Member of the National Academy of Engineering of Korea, and many other societies. He has received many awards including the Best Paper Award from the KFSTS of Korea (1999), the F. Harashima Mechatronics Award (2003), the IJCAS Scientific Activity Award (2004), the Automatica Certificate of Outstanding Service (2006), the Presidential Award of Korea (2007), the ICROS Achievement Award (2009), the IJCAS Contribution Award (2010), the Premier Professor Award (2011), the JMST Contribution Award (2011), the IJCAS Contribution Award (2011), the IEEE Academic Award of ICROS (2016), etc. Dr. Hong’s current research interests include brain-computer interface, nonlinear systems theory, adaptive control, distributed parameter systems, autonomous vehicles, and innovative control applications in brain engineering.
Phuong-Tung Pham received his B.S. and M.S degrees in Mechanical Engineering from Ho Chi Minh City University of Technology, in 2016 and 2018, respectively. He is currently a Ph.D. candidate in the School of Mechanical Engineering, Pusan National University, Korea. His research interests include nonlinear control, adaptive control, vibration control, and control of distributed parameter systems.
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Hong, KS., Pham, PT. Control of Axially Moving Systems: A Review. Int. J. Control Autom. Syst. 17, 2983–3008 (2019). https://doi.org/10.1007/s12555-019-0592-5
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DOI: https://doi.org/10.1007/s12555-019-0592-5