Non-centralized control for flow-based distribution networks: A game-theoretical insight |
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| Authors: | Julian Barreiro-Gomez Carlos Ocampo-Martinez Nicanor Quijano José M Maestre |
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| Institution: | 1. Automatic Control Department, Universitat Politècnica de Catalunya, Institut de Robòtica i Informàtica Industrial (CSIC-UPC), Llorens i Artigas, 4–6, Barcelona 08028, Spain;2. Departamento de Ingenierí-a Eléctrica y Electrónica, Universidad de los Andes, Carrera 1 No 18A-10, Bogotá, Colombia;3. Departamento de Ingeniería de Sistemas y Automática, Universidad de Sevilla, Sevilla 41092, Spain |
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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 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. |
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| Keywords: | Corresponding author Automatic Control Department Universitat Politècnica de Catalunya Institut de Robòtica i Informàtica Industrial (CSIC-UPC) Llorens i Artigas 4–6 08028 Barcelona Spain Tel : +34934015752 |
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