On optimal system operation in robust economic MPC

Abstract

In this paper, different approaches for economic MPC under disturbances are investigated with respect to their optimal operating behavior. We derive dissipativity-based conditions under which certain optimal operating regimes can be guaranteed for the considered setups. Depending on the information about the disturbance, the system, and the algorithmic structure of the considered underlying robust economic MPC scheme, different statements can be derived. These include, inter alia, statements on stochastic and robust optimal operation. Moreover, we are able to provide converse statements showing – under a certain controllability assumption – necessity of the dissipativity statements for optimal operation at steady-state.