Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length

The paper presents a control approach to a flexible gantry crane system. From Hamilton’s extended principle the equations of motion that characterized coupled transverse-transverse motions with varying rope length of the gantry is obtained. The equations of motion consist of a system of ordinary and...

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Main Authors: Tung Lam Nguyen, Trong Hieu Do, Hong Quang Nguyen
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2019/9640814
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author Tung Lam Nguyen
Trong Hieu Do
Hong Quang Nguyen
author_facet Tung Lam Nguyen
Trong Hieu Do
Hong Quang Nguyen
author_sort Tung Lam Nguyen
collection DOAJ
description The paper presents a control approach to a flexible gantry crane system. From Hamilton’s extended principle the equations of motion that characterized coupled transverse-transverse motions with varying rope length of the gantry is obtained. The equations of motion consist of a system of ordinary and partial differential equations. Lyapunov’s direct method is used to derive the control located at the trolley end that can precisely position the gantry payload and minimize vibrations. The designed control is verified through extensive numerical simulations.
format Article
id doaj-art-69d0558aebf044b6b316c4a42f3cfa5a
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-69d0558aebf044b6b316c4a42f3cfa5a2025-02-03T06:01:17ZengWileyJournal of Control Science and Engineering1687-52491687-52572019-01-01201910.1155/2019/96408149640814Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope LengthTung Lam Nguyen0Trong Hieu Do1Hong Quang Nguyen2Hanoi University of Science and Technology, VietnamHanoi University of Science and Technology, VietnamThai Nguyen University of Technology, VietnamThe paper presents a control approach to a flexible gantry crane system. From Hamilton’s extended principle the equations of motion that characterized coupled transverse-transverse motions with varying rope length of the gantry is obtained. The equations of motion consist of a system of ordinary and partial differential equations. Lyapunov’s direct method is used to derive the control located at the trolley end that can precisely position the gantry payload and minimize vibrations. The designed control is verified through extensive numerical simulations.http://dx.doi.org/10.1155/2019/9640814
spellingShingle Tung Lam Nguyen
Trong Hieu Do
Hong Quang Nguyen
Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length
Journal of Control Science and Engineering
title Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length
title_full Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length
title_fullStr Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length
title_full_unstemmed Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length
title_short Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length
title_sort vibration suppression control of a flexible gantry crane system with varying rope length
url http://dx.doi.org/10.1155/2019/9640814
work_keys_str_mv AT tunglamnguyen vibrationsuppressioncontrolofaflexiblegantrycranesystemwithvaryingropelength
AT tronghieudo vibrationsuppressioncontrolofaflexiblegantrycranesystemwithvaryingropelength
AT hongquangnguyen vibrationsuppressioncontrolofaflexiblegantrycranesystemwithvaryingropelength