Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems

Abstract

We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed through a globally Lipschitz nonlinearity, provided that the sector bound for the nonlinearity and the sampling time is small enough. Next we develop a switching-based event-triggered control scheme stabilizing the system with a reduced number of switching events. We demonstrate our results on an example of finite-dimensional stabilization of a Sturm-Liouville parabolic system.