Mean-Field-Type Model Predictive Control: An Application to Water Distribution Networks

In this paper, we study and design a mean-field-type model predictive control, which is a class of risk-aware control considering within the cost functional not only the mean but also the variance of both the system states and control inputs. We formally present the relationship between the proposed approach and the chance-constrained control techniques. We show a large-scale application over a distribution water network in order to illustrate the performance of the proposed stochastic optimization-based control.