Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances

Lilia Ghaffour; Taous-Meriem Laleg-Kirati

doi:10.1016/j.ejcon.2022.100614

Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances

Lilia Ghaffour, Taous-Meriem Laleg-Kirati

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

4 Scopus citations

Abstract

In this paper, the output regulation problem of the time fractional advection-dispersion equation is considered, in the presence of disturbances. A generalized backstepping method is designed to allow the output to track a desired trajectory by manipulating the system's control input located at the boundary. In addition, the paper provides the fundamental solution of the considered problem and the proof of its uniqueness.

Original language	English (US)
Pages (from-to)	100614
Journal	European Journal of Control
Volume	65
DOIs	https://doi.org/10.1016/j.ejcon.2022.100614
State	Published - Mar 17 2022

Bibliographical note

KAUST Repository Item: Exported on 2022-04-26
Acknowledged KAUST grant number(s): BAS/1/1627-01-01
Acknowledgements: Supported by King Abdullah University of Science and Technology (KAUST) with the Base Research Fund (BAS/1/1627-01-01).

ASJC Scopus subject areas

General Engineering

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10.1016/j.ejcon.2022.100614

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title = "Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances",

abstract = "In this paper, the output regulation problem of the time fractional advection-dispersion equation is considered, in the presence of disturbances. A generalized backstepping method is designed to allow the output to track a desired trajectory by manipulating the system's control input located at the boundary. In addition, the paper provides the fundamental solution of the considered problem and the proof of its uniqueness.",

author = "Lilia Ghaffour and Taous-Meriem Laleg-Kirati",

note = "KAUST Repository Item: Exported on 2022-04-26 Acknowledged KAUST grant number(s): BAS/1/1627-01-01 Acknowledgements: Supported by King Abdullah University of Science and Technology (KAUST) with the Base Research Fund (BAS/1/1627-01-01).",

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AU - Ghaffour, Lilia

AU - Laleg-Kirati, Taous-Meriem

N1 - KAUST Repository Item: Exported on 2022-04-26 Acknowledged KAUST grant number(s): BAS/1/1627-01-01 Acknowledgements: Supported by King Abdullah University of Science and Technology (KAUST) with the Base Research Fund (BAS/1/1627-01-01).

PY - 2022/3/17

Y1 - 2022/3/17

N2 - In this paper, the output regulation problem of the time fractional advection-dispersion equation is considered, in the presence of disturbances. A generalized backstepping method is designed to allow the output to track a desired trajectory by manipulating the system's control input located at the boundary. In addition, the paper provides the fundamental solution of the considered problem and the proof of its uniqueness.

AB - In this paper, the output regulation problem of the time fractional advection-dispersion equation is considered, in the presence of disturbances. A generalized backstepping method is designed to allow the output to track a desired trajectory by manipulating the system's control input located at the boundary. In addition, the paper provides the fundamental solution of the considered problem and the proof of its uniqueness.

UR - http://hdl.handle.net/10754/676521

UR - https://linkinghub.elsevier.com/retrieve/pii/S0947358022000073

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DO - 10.1016/j.ejcon.2022.100614

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SP - 100614

JO - European Journal of Control

JF - European Journal of Control

ER -

Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances

Abstract

Bibliographical note

ASJC Scopus subject areas

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