Thomas Schmitt, Tobias Rodemann, Jürgen Adamy, "Multi-Objective Model Predictive Control for Microgrids", at-Automatisierungstechnik, vol. 68, no. 8, pp. 687-702, 2020.

Economic model predictive control is applied to a simplified linear microgrid model. Monetary costs and thermal comfort are simultaneously optimized by using Pareto optimal solutions in every time step. The effects of different metrics and normalization schemes for selecting knee points from the Pareto front are investigated. For German industry pricing with nonlinear peak costs, a linear programming trick is applied to reformulate the optimization problem. Thus, together with an efficient weight determination scheme, the Pareto front for a horizon of 48 steps is determined in less than 4 s.