A framework for receding-horizon control in infinite-horizon aggregative games

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Title: A framework for receding-horizon control in infinite-horizon aggregative games
Authors: Fele, F
De Paola, A
Angeli, D
Strbac, G
Item Type: Journal Article
Abstract: A novel modelling framework is proposed for the analysis of aggregative games on an infinite-time horizon, assuming that players are subject to heterogeneous periodic constraints. A new aggregative equilibrium notion is presented and the strategic behaviour of the agents is analysed under a receding horizon paradigm. The evolution of the strategies predicted and implemented by the players over time is modelled through a discrete-time multi-valued dynamical system. By considering Lyapunov stability notions and applying limit and invariance results for set-valued correspondences, necessary conditions are derived for convergence of a receding horizon map to a periodic equilibrium of the aggregative game. This result is achieved for any (feasible) initial condition, thus ensuring implicit adaptivity of the proposed control framework to real-time variations in the number and parameters of players. Design and implementation of the proposed control strategy are discussed and an example of distributed control for data routing is presented, evaluating its performance in simulation.
Issue Date: 18-May-2018
Date of Acceptance: 22-Apr-2018
URI: http://hdl.handle.net/10044/1/65534
DOI: https://dx.doi.org/10.1016/j.arcontrol.2018.04.008
ISSN: 1367-5788
Publisher: Elsevier
Start Page: 191
End Page: 204
Journal / Book Title: Annual Reviews in Control
Volume: 45
Copyright Statement: © 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor/Funder: Engineering & Physical Science Research Council (E
Funder's Grant Number: A1300 (EP/N03466X/1)
Keywords: Science & Technology
Technology
Automation & Control Systems
Aggregative games
Receding horizon control
Distributed control
MODEL-PREDICTIVE CONTROL
DEMAND-SIDE MANAGEMENT
MEAN-FIELD CONTROL
POTENTIAL GAMES
DYNAMIC-GAMES
NASH
EQUILIBRIA
SYSTEMS
OPTIMIZATION
CONVERGENCE
0906 Electrical And Electronic Engineering
Industrial Engineering & Automation
Publication Status: Published
Online Publication Date: 2018-05-18
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering
Centre for Environmental Policy
Faculty of Natural Sciences



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