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

A Large-scale Insight

  • Book
  • © 2019

Overview

  • Nominated as an outstanding PhD thesis by the Control Engineering group of the Comité Español de Automática (CEA)
  • Discusses improvements to classical population game approaches
  • Demonstrates the ability of the new methods to better control large-scale systems
  • Offers a comprehensive review of model predictive controllers and game-theoretical approaches applied to engineering problems

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

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Table of contents (10 chapters)

  1. Preliminaries

  2. The Role of Games in the Design of Controllers

  3. Large-Scale Systems Partitioning in Control

  4. Concluding Remarks

Keywords

About this book

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.

Authors and Affiliations

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

    Julian Barreiro-Gomez

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