  This paper addresses the problem of exponential practical stabilization of
linear time-invariant systems with disturbances using event-triggered control
and bounded communication bit rate. We consider both the case of instantaneous
communication with finite precision data at each transmission and the case of
non-instantaneous communication with bounded communication rate. Given a
prescribed rate of convergence, the proposed event-triggered control
implementations opportunistically determine the transmission instants and the
finite precision data to be transmitted on each transmission. We show that our
design exponentially practically stabilizes the origin while guaranteeing a
uniform positive lower bound on the inter-transmission and inter-reception
times, ensuring that the number of bits transmitted on each transmission is
upper bounded uniformly in time, and allowing for the possibility of
transmitting fewer bits at any given time if more bits than prescribed were
transmitted earlier. We also characterize the necessary and sufficient average
data rate for exponential practical stabilization. Several simulations
illustrate the results.
