A reduced complexity model with graph partitioning for rapid hydraulic assessment of sewer networks

Dobson, Barnaby; Watson‐Hill, Hannah; Muhandes, Samer; Borup, Morten; Mijic, Ana

doi:10.1002/essoar.10507590.1

Cited by 1 publication

(1 citation statement)

References 17 publications

(27 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the partitioning method employed by the authors can only be applied to UDSs with tree topologies. Furthermore, [41] devises graph partitioning algorithms to group sections of a UDS into semi-distributed sub-systems. Although these algorithms perform well to accelerate accurate simulations of UDSs, they are not designed for control purposes.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Control for Urban Drainage Systems Using Replicator Dynamics

2022

View full text Add to dashboard Cite

This paper proposes a decentralized control scheme that mitigates floods in urban drainage systems (UDSs). First, we develop a partitioning algorithm of the UDS relying on a graph model of the system. Once this is done, we design a local controller for each partition based on the replicator dynamics model (a set of differential equations that describes the evolution of a population of players involved in a strategic game). The decentralized nature of the proposed strategy makes it suitable for applying it in largescale systems. Stability of the closed-loop system is proved by using Lyapunov theory. Furthermore, we simulate the performance of the decentralized control scheme in two case studies. One of them models part of the Bogotá (Colombia) stormwater UDS. Finally, we compare the proposed technique with two widely used methods for-real time control of UDSs, i.e., constrained linear quadratic regulator (LQR) and model predictive control (MPC).INDEX TERMS Urban drainage systems, population dynamics, decentralized control, replicator dynamics, resource allocation.

show abstract

Section: Introductionmentioning

confidence: 99%