Event‐triggered second‐moment stabilisation under action‐dependent Markov packet drops

Abstract This paper considers the problem of the second‐moment stabilisation of a scalar linear plant with process noise. It is assumed that the sensor communicates with the controller over an unreliable channel, whose state evolves according to a Markov chain, with the transition matrix on a timestep depending on whether there is a transmission on that timestep. Under such a setting, an event‐triggered transmission policy is proposed which meets the objective of exponential convergence of the second moment of the plant state to an ultimate bound. Further, upper bounds on the transmission fraction of the proposed policy are provided. The results are illustrated through an example scenario of control in the presence of a battery‐equipped energy‐harvesting sensor. The proposed control design as well as the analytical guarantees are verified through simulations for the example scenario.

Abstract licence: CC BY-ND

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