52nd IEEE Conference on Decision and Control 2013
DOI: 10.1109/cdc.2013.6760217
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Receding horizon control of hybrid linear delayed systems: Application to sewer networks

Abstract: Abstract-A control-oriented hybrid linear model for water transport in sewer networks is proposed as a suitable framework for the computation of real-time controllers for the minimization of flooding in presence of heavy-rain events. The model is based on individual network elements (sewers, gates, weirs and tanks) and does not rely on topological simplifications, thus providing a better description of the hydrological and hydraulic phenomena than in similar works. Using a generic form of a hybrid linear model… Show more

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Cited by 6 publications
(18 citation statements)
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“…After the MLD reformulation is performed, the complete sewer network model can be written in the following form: i=0TMiX(ti)=m(t),i=0TNiX(ti)n(t), where X ( t ) contains all the system variables at the discrete‐time instant t , including states, inputs, outputs and binary variables arising from the MLD reformulation. Matrices M i and N i , i=1,,T, where T is the maximum system delay, contain the coefficients of the system equations and MLD inequalities computed using the network topology description and the element parameters [ Joseph‐Duran et al ., ; Joseph‐Duran , ]. Finally, vectors m ( t ) and n ( t ) contain the influence of both rain inflows and constants introduced in the MLD reformulation.…”
Section: Combined Sewer Network Modeling Control and Estimationmentioning
confidence: 99%
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“…After the MLD reformulation is performed, the complete sewer network model can be written in the following form: i=0TMiX(ti)=m(t),i=0TNiX(ti)n(t), where X ( t ) contains all the system variables at the discrete‐time instant t , including states, inputs, outputs and binary variables arising from the MLD reformulation. Matrices M i and N i , i=1,,T, where T is the maximum system delay, contain the coefficients of the system equations and MLD inequalities computed using the network topology description and the element parameters [ Joseph‐Duran et al ., ; Joseph‐Duran , ]. Finally, vectors m ( t ) and n ( t ) contain the influence of both rain inflows and constants introduced in the MLD reformulation.…”
Section: Combined Sewer Network Modeling Control and Estimationmentioning
confidence: 99%
“…To overcome this problem, it is a common practice that RTC strategies are based on simplified models of the network dynamics (that is, the temporal evolution of flows and volumes along the network). Simplified models can be obtained in a number of ways: manipulation of the physically based equations (omission of some phenomena, linearization, discretization), conceptual models (mathematical description of the most relevant properties of the system) or identification‐based models (obtained from data) (see Joseph‐Duran [] for examples of each type of model for flow‐routing applications).…”
Section: Introductionmentioning
confidence: 99%
“…The formulation of the OCP associated with model (3) was already described in [15]. It is based on imposing equations and inequalities (3) from time steps t + 1 to t + H, where H is called the prediction horizon, as constraints of an optimization problem aiming to minimize a performance index.…”
Section: Optimal Control Problemmentioning
confidence: 99%
“…where M i and N i are block matrices build from the matrices of system (3) (see [15] for the precise block structure) and…”
Section: Optimal Control Problemmentioning
confidence: 99%
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