Vibration Suppression of an Axially Moving System with Restrained Boundary Tension

In this paper, we concentrate on the vibration suppression of an axially moving string system subject to the restrained boundary tension. By introducing an appropriate barrier Lyapunov function, a boundary control is constructed to stabilize the vibration and insure that the boundary tension is main...

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Bibliographic Details
Published inNeural Information Processing Vol. 10639; pp. 257 - 265
Main Authors Zhao, Zhijia, Liu, Yu, Sun, Kun
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 2017
Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
Axially moving system
Boundary control
Boundary tension constraint
Vibration suppression
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Summary:In this paper, we concentrate on the vibration suppression of an axially moving string system subject to the restrained boundary tension. By introducing an appropriate barrier Lyapunov function, a boundary control is constructed to stabilize the vibration and insure that the boundary tension is maintained within limits. The derived control can guarantee the uniformly bounded stability of the closed-loop system and the satisfaction of the boundary tension constraint. Finally, the simulations validate the results.
ISBN:3319701355
9783319701356
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-319-70136-3_28