On stability and non-averaged performance of economic MPC with terminal conditions for optimal periodic operation
For control theorists and practitioners, this work extends stability and performance guarantees to a broader class of economic MPC problems with periodic optimal operation.
This paper derives asymptotic stability guarantees for economic MPC with terminal conditions for systems with optimal periodic operation, handling a more general setup than existing methods. It also establishes a non-averaged closed-loop performance bound using Cesàro summation, providing new insights for such systems.
Operation at steady state is often not optimal when optimizing over an economic cost objective. In many cases, periodic operation yields better performance. Therefore, we derive asymptotic stability guarantees of an economic model predictive control scheme with terminal conditions for systems with optimal periodic operation for a more general setup than existing methods can handle. Moreover, we establish a non-averaged closed-loop performance bound by defining the closed-loop cost via a Cesàro summation instead of ordinary summation. Such a non-averaged performance bound provides new insights for systems with periodic optimal operation.