Dynamic periodic event-triggered control for nonlinear plants with state feedback

In this work, we propose two methods to design a dynamic periodic event-triggered controller that stabilizes nonlinear plants using static state feedback. The design methodology begins by assuming the knowledge of a continuous-time state-feedback controller that stabilizes the nonlinear plant. Considering an event-driven controller updation, the resultant closed-loop plant is modelled as a hybrid system. Two approaches are proposed for the event-triggering mechanism (ETM) depending on continuous availability of states. Each method provides an ETM and an upper bound on the sampling period that ensures closed-loop stability. We provide some remarks comparing the two approaches and substantiate them through an illustrative example.