Stabilization of LTI systems with periodic communication constraints by using LQR method

This paper deals with the stabilization of a networked control system (NCS) whose sensors and actuators exchange information with a controller through a shared communication medium. To control a linear time-invariant (LTI) discrete-time plant via a bus with limited capacity, we introduce a holder and a communication sequence which follows a given ω-periodic pattern. In the previous paper, we have shown that controllability and stabilizability of the plant are preserved in NCS. Moreover, we have shown that reconstructibility and detectability of the plant are preserved in NCS. In this paper, on the basis of reconstructibility and detectability, we design a middle order periodic observer and periodic state feedback by the periodic LQR method and show the validity of our proposed method by simulation.