  Rollout approaches are an effective tool to address the problem of
co-designing the transmission schedule and the corresponding input values, when
the controller is connected to the plant via a resource-constrained
communication network. These approaches typically employ an MPC, activated at
multiples of the period length of a base transmission schedule. Using
multi-step invariant terminal regions and a prediction horizon longer than the
base period, stability can be ensured. This strategy, however, suffers from
intrinsic shortcomings, such as a high computational complexity and low
robustness. We aim to resolve these drawbacks by proposing an MPC with
periodically time-varying terminal region and cost for the rollout setup, where
the controller is activated at each time instant and features an arbitrary but
fixed prediction horizon. We consider in more detail two specific setups from
the literature on Networked Control Systems, namely the token bucket network
and actuator scheduling. For both setups, we provide conditions for which
convergence under application of the time-varying MPC can be guaranteed. In two
numerical examples, we demonstrate the benefits of the proposed method.
