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Hybrid modeling and receding horizon control of sewer networks
Author(s) -
JosephDuran Bernat,
OcampoMartinez Carlos,
Cembrano Gabriela
Publication year - 2014
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1002/2013wr015119
Subject(s) - mathematical optimization , computer science , software , flooding (psychology) , control theory (sociology) , quadratic programming , calibration , optimal control , control (management) , quadratic equation , integer programming , mathematics , geometry , artificial intelligence , psychology , statistics , psychotherapist , programming language
In this work, a control‐oriented sewer network model is presented based on a hybrid linear modeling framework. The model equations are described independently for each network element, thus allowing the model to be applied to a broad class of networks. A parameter calibration procedure using data obtained from simulation software that solves the physically based model equations is described and validation results are given for a case study. Using the control model equations, an optimal control problem to minimize flooding and pollution is formulated to be solved by means of mixed‐integer linear or quadratic programming. A receding horizon control strategy based on this optimal control problem is applied to the case study using the simulation software as a virtual reality. Results of this closed‐loop simulation tests show the effectiveness of the proposed approach in fulfilling the control objectives while complying with physical and operational constraints.