Hybrid-scheduling-based sliding mode control of Markovian jump systems

This study deals with the sliding mode control problem for a class of Markovian jump systems (MJSs) with limited communication channel bandwidth. To reduce the transmission frequency and improve the channel resource utilization, a hybrid scheduling scheme that integrates event-triggering (ET) mechanism and Round-Robin protocol (RRP) is employed to decide the data transmission of sensor to controller (S/C) communication network. In this paper, the RRP is used to assign the access of sensor nodes that meeting specified triggering condition. Based on which, a token-and-mode-dependent sliding mode control law is constructed, which only depends on the triggered state component. Moreover, sufficient conditions are established such that the resulting MJSs is stochastic stable. Finally, a numerical example shows the effectiveness of the proposed results.