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The Role of Population Games in the Design of Optimization-Based Controllers

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

This chapter presents a literature review related to the main topics treated in this doctoral dissertation. First, a review of model predictive control (MPC) is made focusing on non-centralized schemes, i.e., the architectures for decentralized and distributed MPC controllers. Therefore, some relevant works related to both decentralized and distributed MPC controllers are discussed. Afterwards, a literature review for the tuning issue of the parameters of the MPC controller is introduced. Secondly, the partitioning of large-scale systems is revised, being an essential aspect in the design of non-centralized controllers considering dynamical coupling, information requirements, among others. As a third topic, a review of game-theoretical approaches applied to engineering problems is shown, presenting their versatility in the design of optimization-based controllers. Finally, preliminary concepts regarding population games, which are used throughout the thesis, are presented and some of their relevant features are pointed out.

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Notes

  1. 1.

    The concepts of cooperative and non-cooperative DMPC controllers are omitted due to the fact that it can create confusion with respect to the cooperative and non-cooperative games, which are discussed throughout this doctoral dissertation.

  2. 2.

    It is assumed that agents are rational in the sense that they are able to make decisions in order to improve their benefits based on current information, i.e., no agent would make a decision that implies a decrement in its current benefits.

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Authors and Affiliations

  1. Learning and Game Theory Laboratory, Engineering Division, New York University, Abu Dhabi, United Arab Emirates

    Julian Barreiro-Gomez

  2. Department of Automatic Control, Institut de Robòtica i Informàtica Industrial (CSIC-UPC), Universitat Politècnica de Catalunya, Barcelona, Spain

    Julian Barreiro-Gomez

  3. Departamento de Ingeniería Eléctrica y Electrónica, Universidad de los Andes, Bogotá, Colombia

    Julian Barreiro-Gomez

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Barreiro-Gomez, J. (2019). Literature Review and Background. In: The Role of Population Games in the Design of Optimization-Based Controllers. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-92204-1_2

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