A Structured Optimal Controller for Irrigation Networks
(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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- author
- Heyden, Martin LU ; Pates, Richard LU and Rantzer, Anders LU
- organization
- publishing date
- 2022
- 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}}, }