On convergence of averagely constrained economic MPC and necessity of dissipativity for optimal steady-state operation

The contribution of this paper is twofold. First, we discuss necessity of a dissipativity condition which was recently used to prove optimal operation of a system at steady-state in an economic MPC framework. We illustrate with several examples that this dissipativity condition is not necessary, but comes close to being so in a certain sense. Second, we provide a Lyapunov-like stability analysis for averagely constrained economic model predictive control. This closes a gap which was left open in a recent paper on economic MPC.