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Open AccessArticle

Design of PI Controllers for Irrigation Canals Based on Linear Matrix Inequalities

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Department of Systems and Automation Engineering, University of Seville, 41092 Seville, Spain
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Department of Water Management, Delft University of Technology, 2611 CD Delft, The Netherlands
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KWR Water Research Institute, Groningenhaven 7, 3433 PE Nieuwegein, The Netherlands
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State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
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Author to whom correspondence should be addressed.
Water 2020, 12(3), 855; https://doi.org/10.3390/w12030855
Received: 4 February 2020 / Revised: 26 February 2020 / Accepted: 12 March 2020 / Published: 18 March 2020
(This article belongs to the Section Water Resources Management and Governance)
A new Proportional-Integral (PI) tuning method based on Linear Matrix Inequalities (LMIs) is presented. In particular, an LMI-based optimal control problem is solved to obtain a sparse feedback that provides the PI tuning. The ASCE Test Canal 1 is used as a case study. Using a linearised model of the canal, different tunings for the design of the PI controller are developed and tested using the software Sobek. Furthermore, the proposed method is also compared with other tunings proposed for the same canal available in the literature. Our results show that the proposed method reduces by half the maximum errors with respect to other assessed alternatives and minimizes undesired mutual interactions between canal pools. Also, our method improves the optimality degree of the PI tuning by 30%. Therefore, it is concluded that the LMI based PI controllers lead to satisfactory performance in regulating water levels and canal flows/structure outflows, outperforming other tested alternatives, thus becoming a useful tool for irrigation canal control. View Full-Text
Keywords: decentralized control; controller constraints and structure; multivariable systems; irrigation canals; PI design decentralized control; controller constraints and structure; multivariable systems; irrigation canals; PI design
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MDPI and ACS Style

Arauz, T.; Maestre, J.M.; Tian, X.; Guan, G. Design of PI Controllers for Irrigation Canals Based on Linear Matrix Inequalities. Water 2020, 12, 855.

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