A two level hierarchy is employed in the design of Networked Control Systems (NCSs) with bounded
random transmission delay. At the lower level a local controller is designed to stabilize the plant. At the higher
level a remote controller with the Dynamic Matrix Control (DMC) algorithm is implemented to regulate the
desirable set-point for the local controller. The conventional DMC algorithm is not applicable due to the
unknown transmission delay in NCSs. To meet the requirements of a networked environment, a new remote
DMC controller is proposed in this study. Two methods, maximum delayed output feedback and multi-rate
sampling, are used to cope with the delayed feedback sensory data. Under the assumption that the closed-loop
local system is described by one FIR model of an FIR model family, the robust stability problem of the
remote DMC controller is investigated. Applying Jury's dominant coefficient lemma and some stability results
of switching discrete-time systems with multiple delays; several stability criteria are obtained in the form of
simple inequalities. Finally, some numerical simulations are given to demonstrate the theoretical results
