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Title: | Non-centralized control for flow-based distribution networks: a game-theoretical insight |
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Author: | Barreiro Gómez, Julián; Ocampo-Martínez, Carlos; Quijano Silva, Nicanor; Maestre Torreblanca, José María |
Other authors: | Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial; Universitat Politècnica de Catalunya. SAC - Sistemes Avançats de Control |
Abstract: | © |
Abstract: | This paper solves a data-driven control problem for a flow-based distribution network with two objectives: a resource allocation and a fair distribution of costs. These objectives represent both cooperation and competition directions. It is proposed a solution that combines either a centralized or distributed cooperative game approach using the Shapley value to determine a proper partitioning of the system and a fair communication cost distribution. On the other hand, a decentralized non-cooperative game approach computing the Nash equilibrium is used to achieve the control objective of the resource allocation under a non-complete information topology. Furthermore, an invariant-set property is presented and the closed-loop system stability is analyzed for the non-cooperative game approach. Another contribution regarding the cooperative game approach is an alternative way to compute the Shapley value for the proposed specific characteristic function. Unlike the classical cooperative-games approach, which has a limited application due to the combinatorial explosion issues, the alternative method allows calculating the Shapley value in polynomial time and hence can be applied to large-scale problems. |
Abstract: | Peer Reviewed |
Subject(s): | -Àrees temàtiques de la UPC::Informàtica::Automàtica i control -Flow-based distribution networks -population games -Nash equilibrium -cooperative games -Shapley value -dynamic resource allocation -partitioning approach -distributed control -Classificació INSPEC::Control theory |
Rights: | Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type: | Article - Submitted version Article |
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