Wiener-Hopf optimal control of a hydraulic canal prototype with fractional order dynamics

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

doi:10.1016/j.isatra.2017.06.012

Wiener-Hopf optimal control of a hydraulic canal prototype with fractional order dynamics

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

^*Corresponding author for this work

Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This article addresses the control of a laboratory hydraulic canal prototype that has fractional order dynamics and a time delay. Controlling this prototype is relevant since its dynamics closely resembles the dynamics of real main irrigation canals. Moreover, the dynamics of hydraulic canals vary largely when the operation regime changes since they are strongly nonlinear systems. All this makes difficult to design adequate controllers.

The controller proposed in this article looks for a good time response to step commands. The design criterium for this controller is minimizing the integral performance index ISE. Then a new methodology to control fractional order processes with a time delay, based on the Wiener-Hopf control and the Padé approximation of the time delay, is developed. Moreover, in order to improve the robustness of the control system, a gain scheduling fractional order controller is proposed. Experiments show the adequate performance of the proposed controller.

Original language	English
Pages (from-to)	130-144
Number of pages	14
Journal	ISA Transactions
Volume	82
Early online date	7 Dec 2018
DOIs	https://doi.org/10.1016/j.isatra.2017.06.012
Publication status	Published - 2018

Bibliographical note

Acknowledgements
The authors would like to acknowledge the support provided in part by the Consejería de Educación, Cultura y Deportes de la Junta de Comunidades de Castilla-La Mancha (Spain) with the Project POII-2014-014-P, in part by the European Social Fund and in part by the Spanish scholarship FPU14/02256 of the FPU Program of the Ministerio de Educación, Cultura y Deporte.

Keywords

Wiener-Hop filter
Fractional order control
Hydraulic canal control
ISE optimization
Gain scheduling control

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10.1016/j.isatra.2017.06.012Licence: Unspecified

Cite this

@article{a865493efbc841c6b610c7ed37ab3e7e,

title = "Wiener-Hopf optimal control of a hydraulic canal prototype with fractional order dynamics",

abstract = "This article addresses the control of a laboratory hydraulic canal prototype that has fractional order dynamics and a time delay. Controlling this prototype is relevant since its dynamics closely resembles the dynamics of real main irrigation canals. Moreover, the dynamics of hydraulic canals vary largely when the operation regime changes since they are strongly nonlinear systems. All this makes difficult to design adequate controllers.The controller proposed in this article looks for a good time response to step commands. The design criterium for this controller is minimizing the integral performance index ISE. Then a new methodology to control fractional order processes with a time delay, based on the Wiener-Hopf control and the Pad{\'e} approximation of the time delay, is developed. Moreover, in order to improve the robustness of the control system, a gain scheduling fractional order controller is proposed. Experiments show the adequate performance of the proposed controller.",

keywords = "Wiener-Hop filter, Fractional order control, Hydraulic canal control, ISE optimization, Gain scheduling control",

author = "Vicente Feliu-Batlle and Daniel Feliu-Talegon and {San Millan Rodriguez}, Andres and Ra{\'u}l Rivas-P{\'e}rez",

note = "Acknowledgements The authors would like to acknowledge the support provided in part by the Consejer{\'i}a de Educaci{\'o}n, Cultura y Deportes de la Junta de Comunidades de Castilla-La Mancha (Spain) with the Project POII-2014-014-P, in part by the European Social Fund and in part by the Spanish scholarship FPU14/02256 of the FPU Program of the Ministerio de Educaci{\'o}n, Cultura y Deporte.",

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doi = "10.1016/j.isatra.2017.06.012",

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AU - Feliu-Batlle, Vicente

AU - Feliu-Talegon, Daniel

AU - San Millan Rodriguez, Andres

AU - Rivas-Pérez, Raúl

N1 - Acknowledgements The authors would like to acknowledge the support provided in part by the Consejería de Educación, Cultura y Deportes de la Junta de Comunidades de Castilla-La Mancha (Spain) with the Project POII-2014-014-P, in part by the European Social Fund and in part by the Spanish scholarship FPU14/02256 of the FPU Program of the Ministerio de Educación, Cultura y Deporte.

PY - 2018

Y1 - 2018

N2 - This article addresses the control of a laboratory hydraulic canal prototype that has fractional order dynamics and a time delay. Controlling this prototype is relevant since its dynamics closely resembles the dynamics of real main irrigation canals. Moreover, the dynamics of hydraulic canals vary largely when the operation regime changes since they are strongly nonlinear systems. All this makes difficult to design adequate controllers.The controller proposed in this article looks for a good time response to step commands. The design criterium for this controller is minimizing the integral performance index ISE. Then a new methodology to control fractional order processes with a time delay, based on the Wiener-Hopf control and the Padé approximation of the time delay, is developed. Moreover, in order to improve the robustness of the control system, a gain scheduling fractional order controller is proposed. Experiments show the adequate performance of the proposed controller.

AB - This article addresses the control of a laboratory hydraulic canal prototype that has fractional order dynamics and a time delay. Controlling this prototype is relevant since its dynamics closely resembles the dynamics of real main irrigation canals. Moreover, the dynamics of hydraulic canals vary largely when the operation regime changes since they are strongly nonlinear systems. All this makes difficult to design adequate controllers.The controller proposed in this article looks for a good time response to step commands. The design criterium for this controller is minimizing the integral performance index ISE. Then a new methodology to control fractional order processes with a time delay, based on the Wiener-Hopf control and the Padé approximation of the time delay, is developed. Moreover, in order to improve the robustness of the control system, a gain scheduling fractional order controller is proposed. Experiments show the adequate performance of the proposed controller.

KW - Wiener-Hop filter

KW - Fractional order control

KW - Hydraulic canal control

KW - ISE optimization

KW - Gain scheduling control

U2 - 10.1016/j.isatra.2017.06.012

DO - 10.1016/j.isatra.2017.06.012

M3 - Article

SN - 0019-0578

VL - 82

SP - 130

EP - 144

JO - ISA Transactions

JF - ISA Transactions

ER -

Wiener-Hopf optimal control of a hydraulic canal prototype with fractional order dynamics

Abstract

Bibliographical note

Keywords

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