Output feedback stabilization for Markov-based nonuniformly sampled-data networked control systems.(English)Zbl 1279.93087

Summary: 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. Sufficient and necessary condition for the mean-square stability, the stochastic stability, and 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.

MSC:

 93D15 Stabilization of systems by feedback 93C57 Sampled-data control/observation systems 93A15 Large-scale systems 60J10 Markov chains (discrete-time Markov processes on discrete state spaces)

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