Article
Non-centralized Control for Flow-based Distribution Networks: A Game-theoretical Insight
Author/s | Barreiro-Gómez, J.
Ocampo-Martínez, Carlos Quijano, Nicanor Maestre Torreblanca, José María ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ingeniería de Sistemas y Automática |
Publication Date | 2017-09 |
Deposit Date | 2019-06-13 |
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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 ... 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 noncooperative 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. |
Project ID. | FI 2014
![]() DPI2016-76493-C3-3-R ![]() DPI2008-05818 ![]() FP7-ICT DYMASOS ![]() |
Citation | Barreiro Gómez, J., Ocampo-Martínez, C., Quijano, N. y Maestre, J.M. (2017). Non-centralized Control for Flow-based Distribution Networks: A Game-theoretical Insight. Journal of the Franklin Institute, 354 (14), 5771-5796. |
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