Decentralized Control for Urban Drainage Systems Using Replicator Dynamics
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9780412/ |
| _version_ | 1797905488148430848 |
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| author | German Obando Nicanor Quijano Carlos Ocampo-Martinez |
| author_facet | German Obando Nicanor Quijano Carlos Ocampo-Martinez |
| author_sort | German Obando |
| collection | DOAJ |
| description | 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 large-scale 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). |
| first_indexed | 2024-04-10T10:06:08Z |
| format | Article |
| id | doaj.art-d528af4e07da46069a3807a7cfd41801 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-10T10:06:08Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-d528af4e07da46069a3807a7cfd418012023-02-16T00:00:07ZengIEEEIEEE Access2169-35362022-01-0110567405676210.1109/ACCESS.2022.31776319780412Decentralized Control for Urban Drainage Systems Using Replicator DynamicsGerman Obando0https://orcid.org/0000-0003-4271-4944Nicanor Quijano1https://orcid.org/0000-0002-8688-3195Carlos Ocampo-Martinez2https://orcid.org/0000-0001-9251-6044School of Engineering, Science and Technology, Universidad del Rosario, Bogotá, ColombiaDepartment of Electric and Electronics Engineering, Universidad de los Andes, Bogotá, ColombiaAutomatic Control Department, Universitat Politècnica de Catalunya, Barcelona, SpainThis 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 large-scale 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).https://ieeexplore.ieee.org/document/9780412/Urban drainage systemspopulation dynamicsdecentralized controlreplicator dynamicsresource allocation |
| spellingShingle | German Obando Nicanor Quijano Carlos Ocampo-Martinez Decentralized Control for Urban Drainage Systems Using Replicator Dynamics IEEE Access Urban drainage systems population dynamics decentralized control replicator dynamics resource allocation |
| title | Decentralized Control for Urban Drainage Systems Using Replicator Dynamics |
| title_full | Decentralized Control for Urban Drainage Systems Using Replicator Dynamics |
| title_fullStr | Decentralized Control for Urban Drainage Systems Using Replicator Dynamics |
| title_full_unstemmed | Decentralized Control for Urban Drainage Systems Using Replicator Dynamics |
| title_short | Decentralized Control for Urban Drainage Systems Using Replicator Dynamics |
| title_sort | decentralized control for urban drainage systems using replicator dynamics |
| topic | Urban drainage systems population dynamics decentralized control replicator dynamics resource allocation |
| url | https://ieeexplore.ieee.org/document/9780412/ |
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