Multiobjective economic MPC of constrained non-linear systems

This study proposes an alternative utopia-tracking multiobjective economic model prediction control scheme of constrained non-linear systems with guaranteed asymptotic stability and convergence of average performance. The proposed scheme minimises the distance of its cost function vector to a vector of independently minimised objectives evaluated at ultimate transient operation, i.e. ultimate utopia point. Recursive feasibility and stability of the scheme are established by a closed-loop optimisation dual-mode formulation. Moreover, convergence of the closed-loop average performance is established in the context of multiobjective optimisation. The theoretical results are illustrated by two examples of chemical processes.