Finite-Dimensional Periodic Event-Triggered Control of Nonlinear Time-Delay Systems with an Application to the Artificial Pancreas

This letter addresses the periodic event-triggered stabilization in the sample-and-hold sense of nonlinear time-delay systems by means of a finite-dimensional state feedback law. Differently from most related literature, no continuity assumptions are required on the state feedback available in continuous time, which can hence be designed for instance by universal constructions yielding possible discontinuities, provided that such a feedback depends on a finite number of commensurate time delays. An application to the problem of glucose regulation is then presented, showing the effectiveness of the approach taken.