Incorporating human preferences in decision making for dynamic multi-objective optimization in Model Predictive Control

T Schmitt, M Hoffmann, T Rodemann, J Adamy - Inventions, 2022 - mdpi.com
Inventions, 2022mdpi.com
We present a new two-step approach for automatized a posteriori decision making in multi-
objective optimization problems, ie, selecting a solution from the Pareto front. In the first step,
a knee region is determined based on the normalized Euclidean distance from a hyperplane
defined by the furthest Pareto solution and the negative unit vector. The size of the knee
region depends on the Pareto front's shape and a design parameter. In the second step,
preferences for all objectives formulated by the decision maker, eg, 50–20–30 for a 3D …
We present a new two-step approach for automatized a posteriori decision making in multi-objective optimization problems, i.e., selecting a solution from the Pareto front. In the first step, a knee region is determined based on the normalized Euclidean distance from a hyperplane defined by the furthest Pareto solution and the negative unit vector. The size of the knee region depends on the Pareto front’s shape and a design parameter. In the second step, preferences for all objectives formulated by the decision maker, e.g., 50–20–30 for a 3D problem, are translated into a hyperplane which is then used to choose a final solution from the knee region. This way, the decision maker’s preference can be incorporated, while its influence depends on the Pareto front’s shape and a design parameter, at the same time favorizing knee points if they exist. The proposed approach is applied in simulation for the multi-objective model predictive control (MPC) of the two-dimensional rocket car example and the energy management system of a building.
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