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

doi: 10.3390/w12030855
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.
- "UNIVERSIDAD DE SEVILLA Spain
- Delft University of Technology Netherlands
- KWR Watercycle Research Institute Netherlands
- Wuhan University China (People's Republic of)
- University of Seville Spain
decentralized control, PI design, Decentralized control, Water supply for domestic and industrial purposes, multivariable systems, Multivariable systems, 621, Hydraulic engineering, pi design, Controller constraints and structure, irrigation canals, controller constraints and structure, Irrigation canals, TC1-978, TD201-500
decentralized control, PI design, Decentralized control, Water supply for domestic and industrial purposes, multivariable systems, Multivariable systems, 621, Hydraulic engineering, pi design, Controller constraints and structure, irrigation canals, controller constraints and structure, Irrigation canals, TC1-978, TD201-500
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