Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design
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| Title: | Refining Parameter Mismatch Handling in LPV Sampled-Data Controller Design |
|---|---|
| Authors: | Oliveira, Lucas, A.L., Guelton, Kevin, Motchon, Koffi M.D., Leite, Valter J.S. |
| Contributors: | 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) |
| Source: | ISSN: 0005-1098 ; Automatica ; https://hal.science/hal-04993331 ; Automatica, 2025, 180, pp.112470. ⟨10.1016/j.automatica.2025.112470⟩. |
| Publisher Information: | CCSD Elsevier |
| Publication Year: | 2025 |
| Collection: | Université de Reims Champagne-Ardenne: Archives Ouvertes (HAL) |
| Subject Terms: | 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 |
| Description: | 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. |
| Document Type: | article in journal/newspaper |
| Language: | English |
| DOI: | 10.1016/j.automatica.2025.112470 |
| Availability: | 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 |
| Accession Number: | edsbas.6D197A76 |
| Database: | BASE |
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