  We consider a stochastic system where the communication between the
controller and the actuator is triggered by a threshold-based rule. The
communication is performed across an unreliable link that stochastically erases
transmitted packets. To decrease the communication burden, and as a partial
protection against dropped packets, the controller sends a sequence of control
commands to the actuator in each packet. These commands are stored in a buffer
and applied sequentially until the next control packet arrives. In this
context, we study dead-beat control laws and compute the expected
linear-quadratic loss of the closed-loop system for any given event-threshold.
Furthermore, we provide analytical expressions that quantify the trade-off
between the communication cost and the control performance of event-triggered
control systems. Numerical examples demonstrate the effectiveness of the
proposed framework.
