  This paper deals with the output regulation problem of a linear
time-invariant system in the presence of sporadically available measurement
streams. A regulator with a continuous intersample injection term is proposed,
where the intersample injection is provided by a linear dynamical system and
the state of which is reset with the arrival of every new measurement updates.
The resulting system is augmented with a timer triggering an instantaneous
update of the new measurement and the overall system is then analyzed in a
hybrid system framework. With the Lyapunov based stability analysis, we offer
sufficient conditions to ensure the objectives of the output regulation problem
are achieved under intermittency of the measurement streams. Then, from the
solution to linear matrix inequalities, a numerically tractable regulator
design procedure is presented. Finally, with the help of an illustrative
example, the effectiveness of the theoretical results are validated.
