A vibroacoustic application of modeling and control of linear parameter-varying systems

This paper applies recent advances in both modeling and control of Linear Parameter-Varying (LPV) systems to a vibroacoustic setup whose dynamics is highly sensitive to variations in the temperature. Based on experimental data, an LPV model is derived for this system using the State-space Model Interpolation of Local Estimates (SMILE) technique. This modeling technique interpolates linear time-invariant models estimated at distinct operating conditions of the system (in this case, different temperatures). Using the obtained LPV model, gain-scheduled and robust multiobjective H2/H∞ state feedback controllers are designed such that can consider a priori known bounds on the rate of parameter variation. Numerical simulations using the closed-loop systems are performed to validate the controllers and to show the advantages and versatility of the proposed techniques.

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Main Authors: De Caigny,Jan, Camino,Juan F., Oliveira,Ricardo C. L. F., Peres,Pedro L. D., Swevers,Jan
Format: Digital revista
Language:English
Published: Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM 2010
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000400002
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spelling oai:scielo:S1678-587820100004000022011-05-16A vibroacoustic application of modeling and control of linear parameter-varying systemsDe Caigny,JanCamino,Juan F.Oliveira,Ricardo C. L. F.Peres,Pedro L. D.Swevers,Jan Gain-scheduled and robust control LPV modeling H2 and H∞ performance linear parameter-varying systems This paper applies recent advances in both modeling and control of Linear Parameter-Varying (LPV) systems to a vibroacoustic setup whose dynamics is highly sensitive to variations in the temperature. Based on experimental data, an LPV model is derived for this system using the State-space Model Interpolation of Local Estimates (SMILE) technique. This modeling technique interpolates linear time-invariant models estimated at distinct operating conditions of the system (in this case, different temperatures). Using the obtained LPV model, gain-scheduled and robust multiobjective H2/H∞ state feedback controllers are designed such that can consider a priori known bounds on the rate of parameter variation. Numerical simulations using the closed-loop systems are performed to validate the controllers and to show the advantages and versatility of the proposed techniques.info:eu-repo/semantics/openAccessAssociação Brasileira de Engenharia e Ciências Mecânicas - ABCMJournal of the Brazilian Society of Mechanical Sciences and Engineering v.32 n.4 20102010-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000400002en10.1590/S1678-58782010000400002
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country Brasil
countrycode BR
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libraryname SciELO
language English
format Digital
author De Caigny,Jan
Camino,Juan F.
Oliveira,Ricardo C. L. F.
Peres,Pedro L. D.
Swevers,Jan
spellingShingle De Caigny,Jan
Camino,Juan F.
Oliveira,Ricardo C. L. F.
Peres,Pedro L. D.
Swevers,Jan
A vibroacoustic application of modeling and control of linear parameter-varying systems
author_facet De Caigny,Jan
Camino,Juan F.
Oliveira,Ricardo C. L. F.
Peres,Pedro L. D.
Swevers,Jan
author_sort De Caigny,Jan
title A vibroacoustic application of modeling and control of linear parameter-varying systems
title_short A vibroacoustic application of modeling and control of linear parameter-varying systems
title_full A vibroacoustic application of modeling and control of linear parameter-varying systems
title_fullStr A vibroacoustic application of modeling and control of linear parameter-varying systems
title_full_unstemmed A vibroacoustic application of modeling and control of linear parameter-varying systems
title_sort vibroacoustic application of modeling and control of linear parameter-varying systems
description This paper applies recent advances in both modeling and control of Linear Parameter-Varying (LPV) systems to a vibroacoustic setup whose dynamics is highly sensitive to variations in the temperature. Based on experimental data, an LPV model is derived for this system using the State-space Model Interpolation of Local Estimates (SMILE) technique. This modeling technique interpolates linear time-invariant models estimated at distinct operating conditions of the system (in this case, different temperatures). Using the obtained LPV model, gain-scheduled and robust multiobjective H2/H∞ state feedback controllers are designed such that can consider a priori known bounds on the rate of parameter variation. Numerical simulations using the closed-loop systems are performed to validate the controllers and to show the advantages and versatility of the proposed techniques.
publisher Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
publishDate 2010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000400002
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