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Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design

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Název: Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design
Autoři: Oliveira, Lucas, A.L., Guelton, Kevin, Motchon, Koffi M.D., Leite, Valter J.S.
Přispěvatelé: Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC), Université de Reims Champagne-Ardenne (URCA), Centro Federal de Educação Tecnológica de Minas Gerais (CEFET-MG)
Zdroj: ISSN: 0005-1098 ; Automatica ; https://hal.science/hal-04993331 ; Automatica, 2025, 180, pp.112470. ⟨10.1016/j.automatica.2025.112470⟩.
Informace o vydavateli: CCSD
Elsevier
Rok vydání: 2025
Sbírka: Université de Reims Champagne-Ardenne: Archives Ouvertes (HAL)
Témata: Parameter mismatch, Stabilization, Time-varying systems, LPV systems, Sampled-data systems, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, [SPI.AUTO]Engineering Sciences [physics]/Automatic
Popis: Provisionally accepted for publication in Automatica ; International audience ; This paper presents a refined approach to cope with the problem of parameter mismatch in the design conditions of sampled-data controllers for Linear Parameter-Varying (LPV) systems, which occurs between consecutive sampling instants. Using the input delay approach, we propose a novel strategy that applies the mean value theorem while explicitly incorporating the delay into the stability conditions. This method avoids the spread of mismatch terms across all parameter-dependent matrices, yielding less conservative controller synthesis conditions and enabling larger sampling intervals than existing techniques. Despite its simplicity, our approach demonstrates superior performance relative to conditions in the literature, as shown by a numerical example.
Druh dokumentu: article in journal/newspaper
Jazyk: English
DOI: 10.1016/j.automatica.2025.112470
Dostupnost: https://hal.science/hal-04993331
https://hal.science/hal-04993331v1/document
https://hal.science/hal-04993331v1/file/Oliveira2024_Automatica_R2_final.pdf
https://doi.org/10.1016/j.automatica.2025.112470
Rights: info:eu-repo/semantics/OpenAccess
Přístupové číslo: edsbas.6D197A76
Databáze: BASE
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  Data: Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design
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  Data: <searchLink fieldCode="AR" term="%22Oliveira%2C+Lucas%2C+A%2EL%2E%22">Oliveira, Lucas, A.L.</searchLink><br /><searchLink fieldCode="AR" term="%22Guelton%2C+Kevin%22">Guelton, Kevin</searchLink><br /><searchLink fieldCode="AR" term="%22Motchon%2C+Koffi+M%2ED%2E%22">Motchon, Koffi M.D.</searchLink><br /><searchLink fieldCode="AR" term="%22Leite%2C+Valter+J%2ES%2E%22">Leite, Valter J.S.</searchLink>
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  Data: Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC)<br />Université de Reims Champagne-Ardenne (URCA)<br />Centro Federal de Educação Tecnológica de Minas Gerais (CEFET-MG)
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  Data: <i>ISSN: 0005-1098 ; Automatica ; https://hal.science/hal-04993331 ; Automatica, 2025, 180, pp.112470. ⟨10.1016/j.automatica.2025.112470⟩</i>.
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  Data: 2025
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  Data: Université de Reims Champagne-Ardenne: Archives Ouvertes (HAL)
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  Data: <searchLink fieldCode="DE" term="%22Parameter+mismatch%22">Parameter mismatch</searchLink><br /><searchLink fieldCode="DE" term="%22Stabilization%22">Stabilization</searchLink><br /><searchLink fieldCode="DE" term="%22Time-varying+systems%22">Time-varying systems</searchLink><br /><searchLink fieldCode="DE" term="%22LPV+systems%22">LPV systems</searchLink><br /><searchLink fieldCode="DE" term="%22Sampled-data+systems%22">Sampled-data systems</searchLink><br /><searchLink fieldCode="DE" term="%22[MATH%2EMATH-DS]Mathematics+[math]%2FDynamical+Systems+[math%2EDS]%22">[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]</searchLink><br /><searchLink fieldCode="DE" term="%22[INFO%2EINFO-AI]Computer+Science+[cs]%2FArtificial+Intelligence+[cs%2EAI]%22">[INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI]</searchLink><br /><searchLink fieldCode="DE" term="%22[INFO%2EINFO-AU]Computer+Science+[cs]%2FAutomatic+Control+Engineering%22">[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering</searchLink><br /><searchLink fieldCode="DE" term="%22[SPI%2EAUTO]Engineering+Sciences+[physics]%2FAutomatic%22">[SPI.AUTO]Engineering Sciences [physics]/Automatic</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Provisionally accepted for publication in Automatica ; International audience ; This paper presents a refined approach to cope with the problem of parameter mismatch in the design conditions of sampled-data controllers for Linear Parameter-Varying (LPV) systems, which occurs between consecutive sampling instants. Using the input delay approach, we propose a novel strategy that applies the mean value theorem while explicitly incorporating the delay into the stability conditions. This method avoids the spread of mismatch terms across all parameter-dependent matrices, yielding less conservative controller synthesis conditions and enabling larger sampling intervals than existing techniques. Despite its simplicity, our approach demonstrates superior performance relative to conditions in the literature, as shown by a numerical example.
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– Name: DOI
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  Data: 10.1016/j.automatica.2025.112470
– Name: URL
  Label: Availability
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  Data: https://hal.science/hal-04993331<br />https://hal.science/hal-04993331v1/document<br />https://hal.science/hal-04993331v1/file/Oliveira2024_Automatica_R2_final.pdf<br />https://doi.org/10.1016/j.automatica.2025.112470
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        Value: 10.1016/j.automatica.2025.112470
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      – Text: English
    Subjects:
      – SubjectFull: Parameter mismatch
        Type: general
      – SubjectFull: Stabilization
        Type: general
      – SubjectFull: Time-varying systems
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      – SubjectFull: LPV systems
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      – SubjectFull: Sampled-data systems
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      – SubjectFull: [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI]
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