On Strict Dissipativity of Systems Modeled by Convex Difference Inclusions: Theory and Application to Hybrid Electric Vehicles

In this paper, strict dissipativity conditions are derived for the optimal steady-state operation of dynamical systems described by convex difference inclusions. This result guarantees convergence to a neighborhood of the optimal steady-state for the closed-loop system resulting from the application of economic model predictive control schemes. The validity of the results is shown in a simulation environment considering the problem of the optimal power split in hybrid electric vehicles.