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Multivariable fractional-order model of a laboratory hydraulic canal with two pools

  • Vicente Feliu-Batlle
  • , Andrés San-Millán
  • , Daniel Feliu-Talegón
  • , Raúl Rivas-Pérez
  • Universidad de Castilla-La Mancha
  • Universidad Politécnica de la Habana

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

5 Scopus citations

Abstract

In this paper a fractional order model for an irrigation main canal is proposed. This system has two pools that present a strong interaction between them. Then a multivariable model with two inputs: the pump flow and the opening of an intermediate gate, and two outputs: the water levels in the two pools, is derived. The identification of the model parameters is based on the experiments developed in a laboratory prototype of a hydraulic canal and the application of a direct system identification methodology. The accuracy of the proposed fractional order models is compared with the standard integer-order models of the canal. The parameters of the mathematical models have been identified by minimizing the Integral Square Error Index (ISE) existing between the time responses of the models and the real-time experimental data obtained from the canal prototype. A comparison of the performances of the integer-order and fractional-order models shows that the fractional-order model has significantly lower error: about 30%, and, therefore, higher accuracy in capturing the canal dynamics.

Original languageEnglish
Title of host publication2017 4th International Conference on Control, Decision and Information Technologies, CoDIT 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages450-455
Number of pages6
ISBN (Electronic)9781509064656
DOIs
StatePublished - 8 Nov 2017
Externally publishedYes
Event4th International Conference on Control, Decision and Information Technologies, CoDIT 2017 - Barcelona, Spain
Duration: 5 Apr 20177 Apr 2017

Publication series

Name2017 4th International Conference on Control, Decision and Information Technologies, CoDIT 2017
Volume2017-January

Conference

Conference4th International Conference on Control, Decision and Information Technologies, CoDIT 2017
Country/TerritorySpain
CityBarcelona
Period5/04/177/04/17

Keywords

  • Fractional-order model
  • Hydraulic canal
  • Management of water resources
  • Multivariable process
  • System identification

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