  This paper proposes a control strategy for power systems with a two-layer
structure that achieves global stabilization and, at the same time, delimits
the transient frequencies of targeted buses to a desired safe interval. The
first layer is a model predictive control that, in a receding horizon fashion,
optimally allocates the power resources while softly respecting transient
frequency constraints. As the first layer control requires solving an
optimization problem online, it only periodically samples the system state and
updates its action. The second layer control, however, is implemented in real
time, assisting the first layer to achieve frequency invariance and
attractivity requirements.We show that the controllers designed at both layers
are Lipschitz in the state. Furthermore, through network partition, they can be
implemented in a distributed fashion, only requiring system information from
neighboring partitions. Simulations on the IEEE 39-bus network illustrate our
results.
