Feedback Controller Stabilizing Vibrations of a Flexible Cable Related to an Overhead Crane
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The problem of stabilizing vibrations of flexible cable related to an overhead crane is considered.
The cable vibrations are described by a hyperbolic partial differential equation (HPDE) with an update boundary condition.
We provide in this paper a systematic way to derive a boundary feedback law which restores in a closed form the cable vibrations to the desired zero equilibrium.
Such a control law is explicitly constructed in terms of the solution of an appropriate kernel PDE.
The pursued approach combines the “backstepping method” and “semigroup theory”.
American Psychological Association (APA)
Elharfi, Abdelhadi. 2010. Feedback Controller Stabilizing Vibrations of a Flexible Cable Related to an Overhead Crane. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-513654
Modern Language Association (MLA)
Elharfi, Abdelhadi. Feedback Controller Stabilizing Vibrations of a Flexible Cable Related to an Overhead Crane. Mathematical Problems in Engineering No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-513654
American Medical Association (AMA)
Elharfi, Abdelhadi. Feedback Controller Stabilizing Vibrations of a Flexible Cable Related to an Overhead Crane. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-513654
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513654
