Multi-Population Approach for Decentralized Control of Urban Drainage Systems with Replicator Dynamics

Abstract

Using information consensus and replicator dynamics (RD), this article presents a distributed algorithm for designing control schemes in urban drainage systems (UDSs). It demonstrates the stability of a closed-loop model with RD in UDSs using passivity arguments for single subsystems. As central models for UDSs, we present two distinct topologies and conduct passivity-based analysis to design appropriate payoff mechanisms. We further extend this to a decentralized scenario in which subsystems within a UDS share information and increase capacity at specific sites in response to intense rainfall. This algorithm with distributed consensus assistance seeks to improve system performance. Several simulations are presented to illustrate the benefits of this method.