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Extension of a Fractional Model Identification Method for Fractional Dual-Pole Plus Dead-Time Models

  • Juan J. Gude*
  • , Gaizka Heppe
  • , Oscar Camacho
  • , Pablo García Bringas
  • *Corresponding author for this work
  • Universidad de Deusto

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work introduces a novel technique for identifying fractional dual-pole plus dead-time models (FDPPDT) based on data derived from the reaction curve of the process. The proposed method effectively captures the fractional behavior of high-order systems with S-shaped step responses using a reduced-order model. Building upon the methodology outlined in previous work, this approach offers a straightforward and practical solution that is easy to apply and implement at the industrial level due to its proven effectiveness. The simplicity and effectiveness of the proposed technique are demonstrated through simulation examples, highlighting its advantages over other established methods. To the best of our knowledge, this is the first analytical technique presented to identify an FDPPDT model using the proposed approach.

Original languageEnglish
Title of host publicationMathematical Approaches to Challenges in Biology and Biomedicine - ICMASC 2024
EditorsMartin Golubitsky, Stefano Boccaletti, Carla M.A. Pinto
PublisherSpringer
Pages183-212
Number of pages30
ISBN (Print)9783031979491
DOIs
StatePublished - 2025
EventInternational Conference on Mathematical Analysis and Applications in Science and Engineering, ICMASC 2024 - Porto, Portugal
Duration: 20 Jun 202422 Jun 2024

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume507 PROMS
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Mathematical Analysis and Applications in Science and Engineering, ICMASC 2024
Country/TerritoryPortugal
CityPorto
Period20/06/2422/06/24

Keywords

  • Fractional-order systems
  • Higher-order systems
  • Identification method
  • Process identification
  • Reduced-order models

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