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

Water

Teresa Arauz¹  JoséM. Maestre¹  Xin Tian²  Guanghua Guan³ 

[1] Department of Systems and Automation Engineering, University of Seville, 41092 Seville, Spain;Department of Water Management, Delft University of Technology, 2611 CD Delft, The Netherlands;State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;

关键词: decentralized control;    controller constraints and structure;    multivariable systems;    irrigation canals;    pi design;   

DOI  :  10.3390/w12030855

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown