Event-based stabilization of linear system with communication delays in the measurements

In this paper, we propose an original framework for the stabilization of a linear system with delays in the measurements: i) an event-based control technique computes and updates the control signal only when a certain condition is satisfied and ii) an event-based corrector updates the model used to calculate the control law when it deviates from the real measurement (that is when a perturbation occurs). Such a proposal allows a low computational cost as well as a robust behavior. We also prove that it renders the closed-loop system stable for larger delays in the measurements than in the classical continuous-time control case.