Almost sure stabilization of systems with event-triggered actuators and scheduled sensors

This paper investigates the almost sure stabilization problem for linear systems wherein sensors are scheduled and actuators are activated by a random event which can be modeled as a Markov chain. The system is built as a switching Markov jump linear system. A methodology of scheduling and stability analysis is presented in the context of almost sure stability framework. Specifically, a controller design method for the existence of a stable scheduling sequence is given, which is solely dependent on the controllable pairs of the MJLS. Based on the obtained controller, the stability sufficient conditions for the connection between the switching properties of the sensors and the stochastic properties of the random event are obtained. A numerical example has shown the usefulness of the proposed results.