Dynamic output feedback sliding mode control for Markovian jump systems under stochastic communication protocol and its application

This article investigates the dynamic output feedback control problem for a class of networked Markovian jump systems via sliding mode control method. The stochastic communication protocol schedules the communication between sensors and the controller, by which only one sensor node can access the network at one instant. First, a compensator at the controller side is utilized to yield the available measurement signals composed of the current measurement output transmitted by the selected sensor node and the past measurement output from other sensor nodes. A joint Markovian chain incorporating the Markovian chains of the system as well as the stochastic communication protocol is introduced to model the Markovian jump system subject to the stochastic communication protocol. And then, the dynamic output feedback sliding mode controller is designed and the stochastic stability is analyzed. Moreover, a feasible solving algorithm is provided via a projection technique. Finally, the proposed control scheme is verified via an electrical motor model.