Output feedback stabilization for Markov-based nonuniformly sampled-data networked control systems

This paper investigates the issue of output feedback stabilization for networked control systems. The randomly sampled measurement process caused by the time-varying channel load is modeled as a Markov chain. An event-driven transmitter, which depends on the measurement sampling period, is introduced to transmit the control signal. In order to achieve a less conservative result, a novel output feedback controller, including both sampling and event-driven transmitter-induced delay indexes, is proposed. The sufficient and necessary condition for the mean-square stability, the stochastic stability, and the exponential mean-square stability for the closed-loop system is established, and the controller is designed by using the cone complementarity linearization approach. Finally, based on the ZigBee real communication channel, a cart and inverted pendulum system is shown to demonstrate the effectiveness of the proposed method.