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

Filiberto Fele, Antonio De Paola, David Angeli, Goran Strbac

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)191-204
Number of pages14
JournalAnnual Reviews in Control
Volume45
Early online date18 May 2018
DOIs
Publication statusE-pub ahead of print - 18 May 2018

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Keywords

  • Aggregative games
  • Distributed control
  • Receding horizon control

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering

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