Browse > Article

Boundary Control of an Axially Moving Belt System in a Thin-Metal Production Line  

Hong, Keum-Shik (School of Mechanical Engineering, Pusan National University)
Kim, Chang-Won (Department of Mechanical and Intelligent Systems Engineering, Pusan National University)
Hong, Kyung-Tae (Department of Mechanical and Intelligent Systems Engineering, Pusan National University)
Publication Information
International Journal of Control, Automation, and Systems / v.2, no.1, 2004 , pp. 55-67 More about this Journal
Abstract
In this paper, an active vibration control of a translating steel strip in a zinc galvanizing line is investigated. The control objectives in the galvanizing line are to improve the uniformity of the zinc deposit on the strip surfaces and to reduce the zinc consumption. The translating steel strip is modeled as a moving belt equation by using Hamilton’s principle for systems with moving mass. The total mechanical energy of the strip is considered to be a Lyapunov function candidate. A nonlinear boundary control law that assures the exponential stability of the closed loop system is derived. The existence of a closed-loop solution is shown by proving that the closed-loop dynamics is dissipative. Simulation results are provided.
Keywords
Asymptotic stability; axially moving system; boundary control; hyperbolic partial differential equation; Lyapunov method; nonlinear vibrations; zinc galvanizing line.;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 8  (Related Records In Web of Science)
Times Cited By SCOPUS : 11
연도 인용수 순위
1 Robust adaptive boundary control of an axially moving string under a spatiotemporary varying tension /
[ K. -J. Yang;K. -S. Hong;F. Matsuno ] / Journal of Sound and Vibtation
2 Transverse vibration control of an axially moving string by velocity boundary control (in Korean) /
[ D. H. Ryu;Y. P. Park ] / Trans. of the Korean Society of Mechanical Engineers
3 Free vibration and dynamic stability of the axially moving continuum with time-varying length(in Korean) /
[ S.-Y. Lee;J. C. Sa;M. H. Lee ] / Journal of Korean Society for Noise and Vibration Engineering   DOI
4 Non-Linear vibration of a traveling tensioned beam /
[ J. A. Wickert ] / International Journal of Non-Linear Mechanics
5 Current research on the vibration and stability of axially moving materials /
[ J. A. Wickert;C. D. Mote ] / Shock and Vibration Digest   DOI
6 Classical vibration analysis of axially moving continua /
[ J. A. Wickert;C. D. Mote ] / Journal of Applied Mechanics   DOI
7 Dynamical analysis of distributed parameter tubular reactors /
[ J. J. Winkin;D. Dochain;P. Ligarius ] / Automatica   DOI   ScienceOn
8 Linearization method to stability analysis for nonlinear hyperbolic systems /
[ C.-Z. Xu;D.-X. Feng ] / Comptes rendus de l`Academie des sciences. Serie I. Mathematique   DOI   ScienceOn
9 Transverse vibration control of an axially moving string by velocity boundary control (in Korean) /
[ D. H. Ryu;Y. P. Park ] / Trans. of the Korean Society of Mechanical Engineers
10 Free vibration and dynamic stability of the axially moving continuum with time-varying length(in Korean) /
[ S.-Y. Lee;J. C. Sa;M. H. Lee ] / Journal of Korean Society for Noise and Vibration Engineering   DOI
11 /
[ G. Emanuel ] / Analytical Fluid Dynamics
12 Non-linear vibration of power transmission belts /
[ J. Moon;J. A. Wickert ] / Journal of Sound and Vibration   DOI   ScienceOn
13 Boundary layer control with a moving belt system for studies on wing-in-ground-effect /
[ M. R. Ahmed;H. Sirogane;Y. Kohama ] / JSME International Journal Series C   DOI
14 Nonlinear transverse oscillations in traveling strings by the method of harmonic balance /
[ V. A. Bapat;P. Srinivasan ] / Journal of Applied Mechanics   DOI
15 Exponential stability of an axially moving string by linear boundary feedback /
[ R. F. Fung;J. W. Wu;S. L. Wu ] / Automatica   DOI   ScienceOn
16 On the nonlinear vibration problem of the elastic string /
[ G. F. Carrier ] / Quarterly of Applied Mathematics
17 Adaptive control of hot-dip galvanizing /
[ D. Chen ] / Automatica   DOI   ScienceOn
18 /
[ G. Chen;J. Zhou ] / Vibration and Damping in Distributed Systems
19 Exponential stabilization of an axially moving tensioned strip by passive damping and boundary control /
[ J.-Y. Choi;K.-S. Hong;K.-J. Yang ] / Journal of Vibration and Control
20 Hamilton's principle for systems of changing mass /
[ D. B. Mclver ] / Journal of Engineering Mathematics   DOI
21 Dynamics boundary control of a Euler-Bemoulli beam /
[ O. Morgul ] / IEEE Trans. on Automatic Control   DOI   ScienceOn
22 A study of band saw vibration /
[ C. D. Mote ] / Journal of the Franklin Institute   DOI   ScienceOn
23 Boundary layers and non-linear vibrations in an axially moving beam /
[ F. Pellicano;F. Zirilli ] / International Journal of Non-Linear Mechanics   DOI   ScienceOn
24 Vibration control of an axially moving string by boundary control /
[ S. Y. Lee;C. D. Mote ] / ASME Journal of Dynamics Systems, Measurement, and Control   DOI
25 Stabilization of an axially moving string by nonlinear boundary feedback /
[ R. F. Fung;J. W. Wu;S. L. Wu ] / ASME Journal of Dynamic Systems, Measurement, and Control   DOI   ScienceOn
26 Nonlinear semigroups in Hubert space /
[ Y. Komura ] / Journal of the Mathematical Society of Japan   DOI
27 Boundary feedback stabilization of a rotating body-beam system /
[ H. Laousy;C. Z. Xu;C. Sallet ] / IEEE Trans. on Automatic Control   DOI   ScienceOn
28 Adaptive vibration isolation for axially moving strings: theory and experiment /
[ Y. Li;D. Aron;D. Rahn ] / Automatica   DOI   ScienceOn
29 /
[ J. A. Walker ] / Dynamical Systems and Evolution Equations
30 Experiments and simulations on the nonlinear control of a hydraulic servo system /
[ G. A. Sohl;J. E. Bobrow ] / IEEE Trans. On Control Syst. Technology   DOI   ScienceOn
31 Robustly stabilizing controllers for dissipative infinite-dimensional systems with collocated actuators and sensors /
[ J. C. Oostveen;R. F. Curtain ] / Automatica   DOI   ScienceOn
32 Robust vibration control of a cantilever beam using self-sensing actuator /
[ K. Oshima;T. Takigami;Y. Hayakawa ] / JSME International Journal Series C   DOI
33 /
[ A. Pazy ] / Semigroups of Linear Operators and Applications to Partial Differential Equations
34 Experimental and theoretical analysis of a power transmission belt /
[ F. Pellicano;F. Vestroni;A. Fregolent ] / Proc. of the ASME Conference on Vibration and Control of Continuous Systems
35 Robust adaptive boundary control of an axially moving string under a spatiotemporary varying tension /
[ K. -J. Yang;K. -S. Hong;F. Matsuno ] / Journal of Sound and Vibtation
36 Robustness and continuity of the spectrum for uncertain distributed parameter systems /
[ R. Rebarber;S. Townley ] / Automatica   DOI   ScienceOn
37 Boundary control of the axially moving kirchhoff string /
[ S. M. Shahruz ] / Automatica   DOI   ScienceOn
38 Boundary control of a non-linear axially moving string /
[ S. M. Shahruz ] / International Journal of Robust Nonlinear Control   DOI   ScienceOn