Hybrid-scheduling-based sliding mode control for Markovian jump systems under transmission constraints

This paper presents a new hybrid-scheduling-based design of sliding mode control for Markovian jump systems against transmission constraints. The hybrid scheduling scheme integrates stochastic communication protocol and event-triggering mechanism. At each transmission instant, a discrete-time Markovian chain is employed to orchestrate the stochastic transmission of multiple sensor nodes, by which only one sensor node has the priority to be evaluated whether it meets the triggering condition to access the network. This hybrid scheduling scheme aims to generate a sparser sampling pattern than the existing one while improving channel resource utilization. Based on which a feasible compensator and token-dependent sliding mode controller is constructed. Moreover, a genetic algorithm-based optimization problem is given to achieve a smaller convergent domain. Finally, a numerical example is shown to verify the present control strategy.