Title: Trade-Offs in Stochastic Event-Triggered Control,
Abstract: This paper studies the optimal output-feedback control of a linear
time-invariant system where a stochastic event-based scheduler triggers the
communication between the sensor and the controller. The primary goal of the
use of this type of scheduling strategy is to provide significant reductions in
the usage of the sensor-to-controller communication and, in turn, improve
energy expenditure in the network. In this paper, we aim to design an
admissible control policy, which is a function of the observed output, to
minimize a quadratic cost function while employing a stochastic event-triggered
scheduler that preserves the Gaussian property of the plant state and the
estimation error. For the infinite horizon case, we present analytical
expressions that quantify the trade-off between the communication cost and
control performance of such event-triggered control systems. This trade-off is
confirmed quantitatively via numerical examples.