Game-theoretic MPC (or Receding Horizon Games) is an emerging control methodology for multi-agent systems that generates control actions by solving a dynamic game with coupling constraints in a receding-horizon fashion. This control paradigm has recently received increasing attention in various application fields, including robotics, autonomous driving, traffic networks, and energy grids, due to its ability to model the competitive nature of self-interested agents with shared resources while incorporating future predictions, dynamic models, and constraints into the decision-making process.
In this talk, we will:
(i) Motivate Receding Horizon Games through dynamic resource allocation problems, using applications in energy and groundwater management;
(ii) Place it in the context of advanced MPC methods and explain why we need a game-theoretic perspective;
(iii) Present the control framework and its solution concept based on variational Generalized Nash Equilibria, discussing assumptions necessary to ensure fair outcomes;
(iv) Present stability certificates for safe closed-loop operation.
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