Robust economic model predictive control of a community micro-grid

Volume 100, January 2017, Pages 3–17

Special Issue: Control and Optimization of Renewable Energy Systems

Edited By Nael H. El-Farra and Panagiotis D. Christofides


A robust economic MPC controller that can be applied to large scale systems.

Application to the optimal economic control of a community micro-grid which includes three generation and six storage subsystems.

The class of systems considered includes known and unknown disturbances as well as algebraic constraints.

Robust constraint satisfaction even in the presence of sudden changes in the operating objective costs.


In this paper we propose a novel economic robust predictive controller for periodic operation. The proposed controller joins dynamic and economic trajectory planning and robust predictive controller for tracking in a single layer taking into account bounded disturbances, algebraic constraints and periodic operation. We study the closed-loop system properties of the proposed controller and provide a design procedure that guarantees that the perturbed closed-loop system converges asymptotically to the optimal economic reachable periodic trajectory, constraint satisfaction and recursive feasibility. The proposed controller has been applied to control a cluster of interconnected micro-grids. Each nano-grid is connected to an electric utility and has a renewable energy source, a cluster of batteries and a metal hydride based hydrogen storage system. The cluster must satisfy a periodic energy demand while maximizing the profit of the energy sold to the electric utility taking into account time varying prices.


  • Model predictive control;
  • Economic control;
  • Periodic control;
  • Bounded uncertainties;
  • Distribution networks

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