Passivity based analysis and design of urban drainage control systems
This paper proposes a passivity based approach for the design of control schemes for urban drainage systems (UDSs). First, we demonstrate equilibrium-independent passivity (EIP) of replicator dynamics (RD). Then, we analyze two types of UDS subsystems and use passivity arguments to conclude stabilit...
- Autores:
-
Higuera Quintero, Santiago
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2023
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/68678
- Acceso en línea:
- http://hdl.handle.net/1992/68678
- Palabra clave:
- Urban drainage systems
Passivity
Replicator dynamics
Distributed control
Ingeniería
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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Passivity based analysis and design of urban drainage control systems |
| dc.title.alternative.none.fl_str_mv |
Análisis y diseño de sistemas de control de drenaje urbano basado en pasividad |
| title |
Passivity based analysis and design of urban drainage control systems |
| spellingShingle |
Passivity based analysis and design of urban drainage control systems Urban drainage systems Passivity Replicator dynamics Distributed control Ingeniería |
| title_short |
Passivity based analysis and design of urban drainage control systems |
| title_full |
Passivity based analysis and design of urban drainage control systems |
| title_fullStr |
Passivity based analysis and design of urban drainage control systems |
| title_full_unstemmed |
Passivity based analysis and design of urban drainage control systems |
| title_sort |
Passivity based analysis and design of urban drainage control systems |
| dc.creator.fl_str_mv |
Higuera Quintero, Santiago |
| dc.contributor.advisor.none.fl_str_mv |
Quijano Silva, Nicanor |
| dc.contributor.author.none.fl_str_mv |
Higuera Quintero, Santiago |
| dc.contributor.jury.none.fl_str_mv |
López Jiménez, Jorge Alfredo |
| dc.contributor.researchgroup.es_CO.fl_str_mv |
GIAP |
| dc.subject.keyword.none.fl_str_mv |
Urban drainage systems Passivity Replicator dynamics Distributed control |
| topic |
Urban drainage systems Passivity Replicator dynamics Distributed control Ingeniería |
| dc.subject.themes.es_CO.fl_str_mv |
Ingeniería |
| description |
This paper proposes a passivity based approach for the design of control schemes for urban drainage systems (UDSs). First, we demonstrate equilibrium-independent passivity (EIP) of replicator dynamics (RD). Then, we analyze two types of UDS subsystems and use passivity arguments to conclude stability of a closed loop model with RD. Lastly, we propose a distributed consensus assisted algorithm for a network of subsystems and provide simulations showing advantages in its performance. |
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2023 |
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2023-07-24T19:02:41Z |
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2023-07-24T19:02:41Z |
| dc.date.issued.none.fl_str_mv |
2023-06-23 |
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Trabajo de grado - Pregrado |
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info:eu-repo/semantics/bachelorThesis |
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info:eu-repo/semantics/acceptedVersion |
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http://hdl.handle.net/1992/68678 |
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instname:Universidad de los Andes |
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| dc.language.iso.es_CO.fl_str_mv |
eng |
| language |
eng |
| dc.relation.references.es_CO.fl_str_mv |
Luís García, Julián Barreiro-Gomez, Eduardo Escobar, Duván Téllez, Nicanor Quijano, and Carlos Ocampo-Martínez. Modeling and real-time control of urban drainage systems: A review. Advances in Water Resources, 85:120-132, 2015. Gabriela Cembrano, Joseba Quevedo, M Salamero, Vicenc Puig, J Figueras, and J Marti. Optimal control of urban drainage systems. a case study. Control engineering practice, 12(1):1-9, 2004. J Vazquez, D Bellefleur, D Gilbert, and B Grandjean. Real time control of a combined sewer network using graph theory. Water science and technology, 36(5):301-308, 1997. Ane Loft Mollerup, Peter Steen Mikkelsen, and Gürkan Sin. A methodological ap- proach to the design of optimising control strategies for sewer systems. Environmental Modelling & Software, 83:103-115, 2016. Germán Obando, Nicanor Quijano, and Carlos Ocampo-Martinez. Decentralized con- trol for urban drainage systems using replicator dynamics. IEEE Access, 10:56740- 56762, 2022. Dian Gadjov and Lacra Pavel. A passivity-based approach to nash equilibrium seeking over networks. IEEE Transactions on Automatic Control, 64(3):1077-1092, 2018. Shinkyu Park, Nuno Martins, and Jeff Shamma. From population games to payoff dynamics models: A passivity-based approach. pages 6584-6601, 12 2019. Shinkyu Park, Nuno C Martins, and Jeff S Shamma. Payoff dynamics model and evolutionary dynamics model: Feedback and convergence to equilibria. arXiv preprint arXiv:1903.02018, 2019. William H Sandholm. Population games and evolutionary dynamics. MIT press, 2010. Jan C Willems. Dissipative dynamical systems part i: General theory. Archive for rational mechanics and analysis, 45(5):321-351, 1972. Jan C Willems. Dissipative dynamical systems part ii: Linear systems with quadratic supply rates. Archive for rational mechanics and analysis, 45:352-393, 1972. George H Hines, Murat Arcak, and Andrew K Packard. Equilibrium-independent pas- sivity: A new definition and numerical certification. Automatica, 47(9):1949-1956, 2011. Lacra Pavel. Dissipativity theory in game theory: On the role of dissipativity and passivity in nash equilibrium seeking. IEEE Control Systems Magazine, 42(3):150-164, 2022. Ven Te Chow. Design of channels for uniform flow. Open-Channel Hydraulics; McGraw Hill: New York, NY, USA, 1959. |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2 |
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27 páginas |
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Universidad de los Andes |
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Ingeniería Electrónica |
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Facultad de Ingeniería |
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Departamento de Ingeniería Eléctrica y Electrónica |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Quijano Silva, Nicanorvirtual::15707-1Higuera Quintero, Santiagofd3a70d8-2357-4580-a88d-2506d6b012cd600López Jiménez, Jorge AlfredoGIAP2023-07-24T19:02:41Z2023-07-24T19:02:41Z2023-06-23http://hdl.handle.net/1992/68678instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/This paper proposes a passivity based approach for the design of control schemes for urban drainage systems (UDSs). First, we demonstrate equilibrium-independent passivity (EIP) of replicator dynamics (RD). Then, we analyze two types of UDS subsystems and use passivity arguments to conclude stability of a closed loop model with RD. Lastly, we propose a distributed consensus assisted algorithm for a network of subsystems and provide simulations showing advantages in its performance.Este trabajo propone un enfoque basado en la pasividad para el diseño de esquemas de control para sistemas de drenaje urbano (UDS). Primero, demostramos la pasividad independiente del equilibrio (EIP) de la dinámica de replicadores (RD). A continuación, analizamos dos tipos de subsistemas UDS y utilizamos argumentos de pasividad para concluir la estabilidad de un modelo en lazo cerrado con los RD. Por último, proponemos un algoritmo asistido por consenso distribuido sobre una red de subsistemas y proporcionamos simulaciones que muestran ventajas en su desempeño.Ingeniero ElectrónicoPregradoDistributed controlEvolutionary dynamicsNonlinear control27 páginasapplication/pdfengUniversidad de los AndesIngeniería ElectrónicaFacultad de IngenieríaDepartamento de Ingeniería Eléctrica y ElectrónicaPassivity based analysis and design of urban drainage control systemsAnálisis y diseño de sistemas de control de drenaje urbano basado en pasividadTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_7a1fTexthttp://purl.org/redcol/resource_type/TPUrban drainage systemsPassivityReplicator dynamicsDistributed controlIngenieríaLuís García, Julián Barreiro-Gomez, Eduardo Escobar, Duván Téllez, Nicanor Quijano, and Carlos Ocampo-Martínez. Modeling and real-time control of urban drainage systems: A review. Advances in Water Resources, 85:120-132, 2015.Gabriela Cembrano, Joseba Quevedo, M Salamero, Vicenc Puig, J Figueras, and J Marti. Optimal control of urban drainage systems. a case study. Control engineering practice, 12(1):1-9, 2004.J Vazquez, D Bellefleur, D Gilbert, and B Grandjean. Real time control of a combined sewer network using graph theory. Water science and technology, 36(5):301-308, 1997.Ane Loft Mollerup, Peter Steen Mikkelsen, and Gürkan Sin. A methodological ap- proach to the design of optimising control strategies for sewer systems. Environmental Modelling & Software, 83:103-115, 2016.Germán Obando, Nicanor Quijano, and Carlos Ocampo-Martinez. Decentralized con- trol for urban drainage systems using replicator dynamics. IEEE Access, 10:56740- 56762, 2022.Dian Gadjov and Lacra Pavel. A passivity-based approach to nash equilibrium seeking over networks. IEEE Transactions on Automatic Control, 64(3):1077-1092, 2018.Shinkyu Park, Nuno Martins, and Jeff Shamma. From population games to payoff dynamics models: A passivity-based approach. pages 6584-6601, 12 2019.Shinkyu Park, Nuno C Martins, and Jeff S Shamma. Payoff dynamics model and evolutionary dynamics model: Feedback and convergence to equilibria. arXiv preprint arXiv:1903.02018, 2019.William H Sandholm. Population games and evolutionary dynamics. MIT press, 2010.Jan C Willems. Dissipative dynamical systems part i: General theory. Archive for rational mechanics and analysis, 45(5):321-351, 1972.Jan C Willems. Dissipative dynamical systems part ii: Linear systems with quadratic supply rates. Archive for rational mechanics and analysis, 45:352-393, 1972.George H Hines, Murat Arcak, and Andrew K Packard. Equilibrium-independent pas- sivity: A new definition and numerical certification. Automatica, 47(9):1949-1956, 2011.Lacra Pavel. Dissipativity theory in game theory: On the role of dissipativity and passivity in nash equilibrium seeking. IEEE Control Systems Magazine, 42(3):150-164, 2022.Ven Te Chow. Design of channels for uniform flow. 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