An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification

The article presents an adaptive control procedure based on the online recursive identification of the best estimated model of plate bending vibration for vibration cancelation. The test object was a thin, circular aluminum plate, clamped at the edge, with MFC actuator and a velocity feedback signal...

Full description

Bibliographic Details
Main Authors: Lucyna Leniowska, Marcin Grochowina, Mariusz Sierżęga, Bogumił Hołota
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/5/2723
_version_ 1797475533636763648
author Lucyna Leniowska
Marcin Grochowina
Mariusz Sierżęga
Bogumił Hołota
author_facet Lucyna Leniowska
Marcin Grochowina
Mariusz Sierżęga
Bogumił Hołota
author_sort Lucyna Leniowska
collection DOAJ
description The article presents an adaptive control procedure based on the online recursive identification of the best estimated model of plate bending vibration for vibration cancelation. The test object was a thin, circular aluminum plate, clamped at the edge, with MFC actuator and a velocity feedback signal. The sensor signal was collected using the non-contact laser measurement method. The system model of the plate was identified online using identification technique based on auto-regressive with exogenous input model. The control law was designed by the pole placement method solving the Diophantine equation. The adaptive controller we designed was implemented and tested on a real-time platform—PowerDAQ with an xPC Target environment. The results presented in the article confirm the correct operation of the adaptive controller and the reduction of vibrations in a fairly wide frequency band while maintaining a relatively low order of the system model.
first_indexed 2024-03-09T20:46:29Z
format Article
id doaj.art-3b62ffdd6f4b4bae90f77f223bd2f45b
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-03-09T20:46:29Z
publishDate 2022-03-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj.art-3b62ffdd6f4b4bae90f77f223bd2f45b2023-11-23T22:45:19ZengMDPI AGApplied Sciences2076-34172022-03-01125272310.3390/app12052723An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive IdentificationLucyna Leniowska0Marcin Grochowina1Mariusz Sierżęga2Bogumił Hołota3College of Natural Sciences, University of Rzeszów, Stanisława Pigonia 1, 35-310 Rzeszów, PolandCollege of Natural Sciences, University of Rzeszów, Stanisława Pigonia 1, 35-310 Rzeszów, PolandResearch & Development Centre Netrix S.A., 20-704 Lublin, PolandCollege of Natural Sciences, University of Rzeszów, Stanisława Pigonia 1, 35-310 Rzeszów, PolandThe article presents an adaptive control procedure based on the online recursive identification of the best estimated model of plate bending vibration for vibration cancelation. The test object was a thin, circular aluminum plate, clamped at the edge, with MFC actuator and a velocity feedback signal. The sensor signal was collected using the non-contact laser measurement method. The system model of the plate was identified online using identification technique based on auto-regressive with exogenous input model. The control law was designed by the pole placement method solving the Diophantine equation. The adaptive controller we designed was implemented and tested on a real-time platform—PowerDAQ with an xPC Target environment. The results presented in the article confirm the correct operation of the adaptive controller and the reduction of vibrations in a fairly wide frequency band while maintaining a relatively low order of the system model.https://www.mdpi.com/2076-3417/12/5/2723circular plateadaptive vibration controlxPC TargetMFC elementson-line identificationRLS algorithm
spellingShingle Lucyna Leniowska
Marcin Grochowina
Mariusz Sierżęga
Bogumił Hołota
An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification
Applied Sciences
circular plate
adaptive vibration control
xPC Target
MFC elements
on-line identification
RLS algorithm
title An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification
title_full An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification
title_fullStr An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification
title_full_unstemmed An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification
title_short An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification
title_sort adaptive method for reducing vibrations of circular plates with recursive identification
topic circular plate
adaptive vibration control
xPC Target
MFC elements
on-line identification
RLS algorithm
url https://www.mdpi.com/2076-3417/12/5/2723
work_keys_str_mv AT lucynaleniowska anadaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT marcingrochowina anadaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT mariuszsierzega anadaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT bogumiłhołota anadaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT lucynaleniowska adaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT marcingrochowina adaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT mariuszsierzega adaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification
AT bogumiłhołota adaptivemethodforreducingvibrationsofcircularplateswithrecursiveidentification