2022/03/30 by Martin Heyden, Heyden, Martin, Richard Pates +3
Agricultural and Biological Sciences · Engineering · #FOS: Mathematics #Hydraulic flow and structures #Irrigation Practices and Water Management #Optimization and Control (math.OC) #Plant responses to water stress
paper · pdf · doi:10.48550/arxiv.2203.16575
openalex publication_date 2022/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.