On Periodic Dissipativity Notions in Economic Model Predictive Control

Dissipativity properties have become the tool to analyze economic model predictive control (MPC) schemes and optimal system operation. In this letter we establish equivalences between different characterizations of periodic dissipativity used in economic MPC. This allows us to unify various results and use a standard dissipativity condition instead of periodic dissipativity notions in order to characterize optimal periodic operation. As a corollary, we can formulate sufficient conditions that ensure practical asymptotic stability of the optimal periodic orbit when using an economic MPC scheme without terminal constraints.