Controllability and stabilizability of a networked control system with periodic communication constraints

This paper proposes a new model for a networked control system and considers its controllability and stabilizability. 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 ωω-periodic pattern. Incorporating the communication sequences and hold device into the original plant amounts to extending the original time-invariant state equation to a ωω-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 sequence characteristic polynomial do not coincide with the eigenvalues of the plant.