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

A Large-scale Insight

  • Julian Barreiro-Gomez

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xxix
  2. Preliminaries

    1. Front Matter
      Pages 1-1
    2. Julian Barreiro-Gomez
      Pages 3-9
    3. Julian Barreiro-Gomez
      Pages 11-34
  3. The Role of Games in the Design of Controllers

    1. Front Matter
      Pages 35-35
    2. Julian Barreiro-Gomez
      Pages 37-58
    3. Julian Barreiro-Gomez
      Pages 59-96
    4. Julian Barreiro-Gomez
      Pages 97-110
    5. Julian Barreiro-Gomez
      Pages 133-159
  4. Large-Scale Systems Partitioning in Control

    1. Front Matter
      Pages 161-161
    2. Julian Barreiro-Gomez
      Pages 179-192
  5. Concluding Remarks

    1. Front Matter
      Pages 193-193
    2. Julian Barreiro-Gomez
      Pages 195-199
  6. Back Matter
    Pages 201-201

About this book

Introduction

This book reports on the implementation of evolutionary-game theory in the design of distributed optimization-based controllers. First, it discusses how the classical population-game approach can contribute to and complement the design of optimization-based controllers. It shows how the features of this approach can be exploited to extend their capabilities in the solution of distributed optimization problems, and examines density games in order to consider multiple coupled constraints and preserve the non-centralized information requirements. Furthermore, it establishes a close relationship between the possible interactions among agents in a population with constrained information sharing among different local controllers. It also discusses coalitional games, focusing on the Shapley power index and proposes an alternative method of computing the latter, which reduces computational time, as well as a different way of finding it using distributed communication structures. All the proposed strategies are then tested on various control problems, such as those related to the Barcelona water supply network, multiple continuous stirred tank reactors, various unmanned aerial vehicle systems, and a water distribution system. This thesis, examined at the Universitat Politècnica de Catalunya and Universidad de los Andes in 2017, received the award for best thesis in control from the control group of the Spanish Committee of Automatic Control (CEA) in the same year.


Keywords

Applications of Evolutionary Game Theory Population Games Density Games Nash Equilibria Cooperative Games Constrained Information Sharing Coalitional Games Local Controllers Shapley Power Index Distributed Communication Networks Distributed Control Model Predictive Control Dynamical Tuning Large-scale Systems MPC Controllers Evolutionary Dynamics Evolutionary Games

Authors and affiliations

  • Julian Barreiro-Gomez
    • 1
  1. 1.Learning and Game Theory Laboratory, Engineering DivisionNew York UniversityAbu DhabiUnited Arab Emirates

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-92204-1
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Intelligent Technologies and Robotics
  • Print ISBN 978-3-319-92203-4
  • Online ISBN 978-3-319-92204-1
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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