Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches

This paper presents a vibration suppression control design of cantilever beam using two piezoelectric ‎patches. One patch was used as ‎an actuator element, while the other was used as a sensor. The controller design was designed via the balance realization reduction method to elect the reduced orde...

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Autores principales:	Shibly A. AL-Samarraie, Mohsin N. Hamzah, Imad A. Abdulsahib
Formato:	article
Lenguaje:	EN
Publicado:	Al-Khwarizmi College of Engineering – University of Baghdad 2017
Materias:	Smart materials Active vibration Piezoelectric Sliding mode observer Model ‎reduction LQR controller Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/1fde56fe069f4bc5908a1080b624db9f
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spelling	oai:doaj.org-article:1fde56fe069f4bc5908a1080b624db9f2021-12-02T08:07:50ZActive Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches10.22153/kej.2017.08.0051818-11712312-0789https://doaj.org/article/1fde56fe069f4bc5908a1080b624db9f2017-03-01T00:00:00Zhttp://alkej.uobaghdad.edu.iq/index.php/alkej/article/view/333https://doaj.org/toc/1818-1171https://doaj.org/toc/2312-0789 This paper presents a vibration suppression control design of cantilever beam using two piezoelectric ‎patches. One patch was used as ‎an actuator element, while the other was used as a sensor. The controller design was designed via the balance realization reduction method to elect the reduced order model that is most controllable and observable. ‎the sliding mode observer was designed to estimate six states from the reduced order model but three states are only used in the control law. Estimating a number of states larger than that used is in order to increase the estimation accuracy. Moreover, the state ‎estimation error is proved bounded. An ‎optimal LQR controller is designed then using the ‎estimated states with the sliding mode observer, to ‎suppress the vibration of a smart cantilever ‎beam via the piezoelectric elements. The control spillover problem was avoided, by deriving an avoidance ‎condition, to ensure the ‎asymptotic stability for the proposed vibration ‎control design. ‎The numerical simulations were achieved to ‎test the vibration attenuation ability of the ‎proposed optimal control. For 15 mm initial tip ‎displacement, the piezoelectric actuator found ‎able to reduce the tip displacement to about 0.1 ‎mm after 4s, while it was 1.5 mm in the ‎open loop case. The current experimental results showed a good performance of the proposed LQR control law and the sliding mode observer, as well a good agreement with theoretical results. Shibly A. AL-SamarraieMohsin N. HamzahImad A. AbdulsahibAl-Khwarizmi College of Engineering – University of BaghdadarticleSmart materialsActive vibrationPiezoelectricSliding mode observerModel ‎reductionLQR controllerChemical engineeringTP155-156Engineering (General). Civil engineering (General)TA1-2040ENAl-Khawarizmi Engineering Journal, Vol 13, Iss 1 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Smart materials Active vibration Piezoelectric Sliding mode observer Model ‎reduction LQR controller Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Smart materials Active vibration Piezoelectric Sliding mode observer Model ‎reduction LQR controller Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040 Shibly A. AL-Samarraie Mohsin N. Hamzah Imad A. Abdulsahib Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches
description	This paper presents a vibration suppression control design of cantilever beam using two piezoelectric ‎patches. One patch was used as ‎an actuator element, while the other was used as a sensor. The controller design was designed via the balance realization reduction method to elect the reduced order model that is most controllable and observable. ‎the sliding mode observer was designed to estimate six states from the reduced order model but three states are only used in the control law. Estimating a number of states larger than that used is in order to increase the estimation accuracy. Moreover, the state ‎estimation error is proved bounded. An ‎optimal LQR controller is designed then using the ‎estimated states with the sliding mode observer, to ‎suppress the vibration of a smart cantilever ‎beam via the piezoelectric elements. The control spillover problem was avoided, by deriving an avoidance ‎condition, to ensure the ‎asymptotic stability for the proposed vibration ‎control design. ‎The numerical simulations were achieved to ‎test the vibration attenuation ability of the ‎proposed optimal control. For 15 mm initial tip ‎displacement, the piezoelectric actuator found ‎able to reduce the tip displacement to about 0.1 ‎mm after 4s, while it was 1.5 mm in the ‎open loop case. The current experimental results showed a good performance of the proposed LQR control law and the sliding mode observer, as well a good agreement with theoretical results.
format	article
author	Shibly A. AL-Samarraie Mohsin N. Hamzah Imad A. Abdulsahib
author_facet	Shibly A. AL-Samarraie Mohsin N. Hamzah Imad A. Abdulsahib
author_sort	Shibly A. AL-Samarraie
title	Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches
title_short	Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches
title_full	Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches
title_fullStr	Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches
title_full_unstemmed	Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches
title_sort	active vibration suppression of smart cantilever beam with sliding mode observer using two piezoelectric patches
publisher	Al-Khwarizmi College of Engineering – University of Baghdad
publishDate	2017
url	https://doaj.org/article/1fde56fe069f4bc5908a1080b624db9f
work_keys_str_mv	AT shiblyaalsamarraie activevibrationsuppressionofsmartcantileverbeamwithslidingmodeobserverusingtwopiezoelectricpatches AT mohsinnhamzah activevibrationsuppressionofsmartcantileverbeamwithslidingmodeobserverusingtwopiezoelectricpatches AT imadaabdulsahib activevibrationsuppressionofsmartcantileverbeamwithslidingmodeobserverusingtwopiezoelectricpatches
_version_	1718398589327114240

Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches

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