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

Vicente Feliu-Batlle; Andres San Millan Rodriguez; Daniel Feliu-Talegon; Raúl Rivas-Pérez

doi:10.1109/CoDIT.2017.8102633

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

Vicente Feliu-Batlle, Andres San Millan Rodriguez, Daniel Feliu-Talegon, Raúl Rivas-Pérez

Engineering

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

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 language	English
Title of host publication	2017 4th International Conference on Control, Decision and Information Technologies (CoDIT)
Publisher	IEEE Explore
Pages	450-455
Number of pages	6
ISBN (Electronic)	978-1-5090-6465-6
ISBN (Print)	978-1-5090-6466-3
DOIs	https://doi.org/10.1109/CoDIT.2017.8102633
Publication status	Published - 9 Nov 2017
Event	International Conference on Control, Decision and Information Technologies - Barcelona, Spain Duration: 5 Apr 2017 → 7 Apr 2017 https://www.codit2017.com/#:~:text=CoDIT'17%20will%20be%20held,Computer%20Science%20and%20Information%20Technologies.

Conference

Conference	International Conference on Control, Decision and Information Technologies
Abbreviated title	CoDIT'17
Country/Territory	Spain
City	Barcelona
Period	5/04/17 → 7/04/17
Internet address	https://www.codit2017.com/#:~:text=CoDIT'17%20will%20be%20held,Computer%20Science%20and%20Information%20Technologies.

Bibliographical note

Acknowledgement:
This work has been sponsored by the consejeria de Educacion, Cultura y Deportes de la Junta de Comunidades de Castilla-La Mancha and by the European Social Fund with the project POII-2014-014-P.

Keywords

hydraulic canal
fractional-order model
multivariable process
system identification
management of water resources

Access to Document

10.1109/CoDIT.2017.8102633Licence: Unspecified

Cite this

Multivariable fractional-order model of a laboratory hydraulic canal with two pools. / Feliu-Batlle, Vicente; San Millan Rodriguez, Andres; Feliu-Talegon, Daniel et al.
2017 4th International Conference on Control, Decision and Information Technologies (CoDIT). IEEE Explore, 2017. p. 450-455.

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

Feliu-Batlle, V, San Millan Rodriguez, A, Feliu-Talegon, D & Rivas-Pérez, R 2017, Multivariable fractional-order model of a laboratory hydraulic canal with two pools. in 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT). IEEE Explore, pp. 450-455, International Conference on Control, Decision and Information Technologies, Barcelona, Spain, 5/04/17. https://doi.org/10.1109/CoDIT.2017.8102633

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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.",

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AU - Feliu-Batlle, Vicente

AU - San Millan Rodriguez, Andres

AU - Feliu-Talegon, Daniel

AU - Rivas-Pérez, Raúl

N1 - Acknowledgement: This work has been sponsored by the consejeria de Educacion, Cultura y Deportes de la Junta de Comunidades de Castilla-La Mancha and by the European Social Fund with the project POII-2014-014-P.

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N2 - 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.

AB - 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.

KW - hydraulic canal

KW - fractional-order model

KW - multivariable process

KW - system identification

KW - management of water resources

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DO - 10.1109/CoDIT.2017.8102633

M3 - Published conference contribution

SN - 978-1-5090-6466-3

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BT - 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT)

PB - IEEE Explore

T2 - International Conference on Control, Decision and Information Technologies

Y2 - 5 April 2017 through 7 April 2017

ER -

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

Abstract

Conference

Bibliographical note

Keywords

Access to Document

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Cite this