Multi-energy systems (MESs) involve the synergetic operation of agents belonging to different energy domains (e.g., thermal, electrical, or gas), enhancing their energy efficiency and economic savings, at the price of significant control challenges.

In fact, MESs imply an increased model complexity and the interaction of networked subsystems with largely different dynamics. This motivates the design of advanced control architectures to coordinate power exchanges among MES agents, while guaranteeing optimality.

On the other hand, the optimal MES regulation should guarantee profit to all agents in the system. Thus, game theoretical or distributed algorithms are also proposed to properly share the achieved economic benefit among agents, and guaranteeing that the MES operation is more convenient than the independent regulation.

The designed control strategy is tested on different MES case studies, considering also the presence of referenced electrical and thermal networks, showing high versatility and enhanced performances.