Insights on Event-Triggered Control for Linear Systems Subject to Norm-Bounded Uncertainty

Abstract

The chapter deals with the design of Event-Triggered rules to stabilize a class of uncertain linear control systems where the uncertainty affecting the plant is assumed to be norm-bounded. The event-triggering rule uses only local information, namely the control updates are generated only by the output signals available to the controller. The proposed approach combines a hybrid framework to describe the closed-loop system with techniques based on looped functionals. The suggested design conditions are formulated in terms of linear matrix inequalities (LMIs), ensuring global robust asymptotic stability of the closed-loop system. A tunable parameter allows guaranteeing an adjustable dwell-time property of the solutions. The effectiveness of the approach is evaluated on an example taken from the literature.