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Summary:
Abstract--In this paper, discrete-time Model-Based
Networked Control Systems (MB-NCS) are studied. A lifting
process is applied to a general MB-NCS configuration in which
the controller is connected to the actuator and plant by means
of a digital communication network resulting in a multirate
system; the controller is updated every nT time units while the
plant is updated every mT time units. Here, necessary and
sufficient conditions for asymptotic stability are derived in
terms of the parameters n and m. The lifting process is also
applied to the MB-NCS configuration when only sensor data is
sent over the network. In both cases a Linear Time-Invariant
(LTI) system is obtained after applying lifting techniques.
Necessary and sufficient conditions are given for the asymptotic
stability of the system with instantaneous feedback in terms of
h, the periodic update constant, and in terms of h and for the
intermittent feedback case, where is the time interval in which
the loop remains closed.
I. INTRODUCTION
N recent years, control networks have been replacing
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