Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design

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Titel: Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design
Autoren: Oliveira, Lucas, A.L., Guelton, Kevin, Motchon, Koffi M.D., Leite, Valter J.S.
Weitere Verfasser: 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)
Quelle: ISSN: 0005-1098 ; Automatica ; https://hal.science/hal-04993331 ; Automatica, 2025, 180, pp.112470. ⟨10.1016/j.automatica.2025.112470⟩.
Verlagsinformationen: CCSD
Elsevier
Publikationsjahr: 2025
Bestand: Université de Reims Champagne-Ardenne: Archives Ouvertes (HAL)
Schlagwörter: 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
Beschreibung: 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.
Publikationsart: article in journal/newspaper
Sprache: English
DOI: 10.1016/j.automatica.2025.112470
Verfügbarkeit: 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
Dokumentencode: edsbas.6D197A76
Datenbank: BASE
Beschreibung
Abstract: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.
DOI:10.1016/j.automatica.2025.112470