A Structured Optimal Controller for Irrigation Networks
Optimization and Control
2022-04-01 v1
Abstract
In this paper, we apply an optimal 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.
Cite
@article{arxiv.2203.16575,
title = {A Structured Optimal Controller for Irrigation Networks},
author = {Martin Heyden and Richard Pates and Anders Rantzer},
journal= {arXiv preprint arXiv:2203.16575},
year = {2022}
}