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This paper proposes a new model for a networked control system and considers its structural properties such as controllability, stabilizability, reconstructibilty and detectability. To control a linear time-invariant discrete-time plant via a bus with limited capacity, we introduce a hold device and a communication sequence which follows a given ω-periodic pattern. Incorporating the communication sequences and hold devices into the original plant amounts to extending the original time-invariant state equation to the ω-periodic one which has the higher order. We assume that the communication sequence is admissible. It is shown that controllability and stabilizability of the plant are preserved in the periodic extended system under the assumption that the zeros of the communication characteristic polynomial does not coincide with λ where λ is the eigenvalue of the plant. On the other hand, reconstructibility(detectability) of the original plant implies that the periodic observability pair of the extended one is reconstructible(detectable) at any time.

Modeling of a Networked Control System with Periodic Communication Constraints and Its Structural Properties