Event–Triggered Control for Systems on Non–Uniform Time Domains Using Measure Chain Theory

Abstract

This brief introduces the concept of measure chain theory in order to design event–triggered controllers for systems evolving on arbitrary time domains. The event–triggering mechanism is derived from input–to–state (ISS) stable Lyapunov functions defined on measure chains. These results not only unify existing event–triggered controller design procedures for systems on continuous and discrete time domains, but also extend them to non–homogeneous time domains. Numerical simulations for systems on different measure chains illustrate the effectiveness of the designed event–triggered controllers.