Abstract
Repetitive control is known as an effective way to achieve the tracking to periodic references. However in the case that the reference is determined synchronously with one of the state, for example, the speed of a racing car going around a circuit, mere tracking to a periodic function in time is not enough. To solve this problem, we consider a version of repetitive control with an event-triggered switching action. We show that the local stability of the corresponding closed-loop system is characterized by the spectral radius of an integral operator with initial conditions. the state transition operator. The result is verified with numerical simulations.
