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A Structured Optimal Controller for Irrigation Networks

Heyden, Martin LU ; Pates, Richard LU and Rantzer, Anders LU orcid (2022) European Control Conference 2022 In 2022 European Control Conference, ECC 2022 p.2297-2304
Abstract

In this paper, we apply an optimal Linear Quadratic (LQ) controller, which has an inherent structure that allows for a distributed implementation, to an irrigation network. The network consists of a water reservoir and connected water canals. The goal is to keep the levels close to the set-points when farmers take out water. The LQ controller is designed using a first-order approximation of the canal dynamics, while the simulation model used for evaluation uses third-order canal dynamics. The performance is compared to a P controller and an LQ controller designed using the third-order canal dynamics. The structured controller outperforms the P controller and is close to the theoretical optimum given by the third-order LQ controller for... (More)

In this paper, we apply an optimal Linear Quadratic (LQ) controller, which has an inherent structure that allows for a distributed implementation, to an irrigation network. The network consists of a water reservoir and connected water canals. The goal is to keep the levels close to the set-points when farmers take out water. The LQ controller is designed using a first-order approximation of the canal dynamics, while the simulation model used for evaluation uses third-order canal dynamics. The performance is compared to a P controller and an LQ controller designed using the third-order canal dynamics. The structured controller outperforms the P controller and is close to the theoretical optimum given by the third-order LQ controller for disturbance rejection.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2022 European Control Conference, ECC 2022
series title
2022 European Control Conference, ECC 2022
pages
8 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
European Control Conference 2022
conference location
London, United Kingdom
conference dates
2022-07-12 - 2022-07-15
external identifiers
  • scopus:85136713138
ISBN
9783907144077
DOI
10.23919/ECC55457.2022.9838239
language
English
LU publication?
yes
id
797237f8-f2e5-461c-923a-1f09a5b3eba9
date added to LUP
2022-10-20 13:59:29
date last changed
2023-11-21 12:22:36
@inproceedings{797237f8-f2e5-461c-923a-1f09a5b3eba9,
  abstract     = {{<p>In this paper, we apply an optimal Linear Quadratic (LQ) controller, which has an inherent structure that allows for a distributed implementation, to an irrigation network. The network consists of a water reservoir and connected water canals. The goal is to keep the levels close to the set-points when farmers take out water. The LQ controller is designed using a first-order approximation of the canal dynamics, while the simulation model used for evaluation uses third-order canal dynamics. The performance is compared to a P controller and an LQ controller designed using the third-order canal dynamics. The structured controller outperforms the P controller and is close to the theoretical optimum given by the third-order LQ controller for disturbance rejection.</p>}},
  author       = {{Heyden, Martin and Pates, Richard and Rantzer, Anders}},
  booktitle    = {{2022 European Control Conference, ECC 2022}},
  isbn         = {{9783907144077}},
  language     = {{eng}},
  pages        = {{2297--2304}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{2022 European Control Conference, ECC 2022}},
  title        = {{A Structured Optimal Controller for Irrigation Networks}},
  url          = {{http://dx.doi.org/10.23919/ECC55457.2022.9838239}},
  doi          = {{10.23919/ECC55457.2022.9838239}},
  year         = {{2022}},
}