Event-triggered output feedback control for networked control systems using passivity: Time-varying network induced delays

When network induced delays are considered in the event-triggered control literature, they are typically delays from the plant to the controller and a tight bound on the admissible delays is usually imposed based on the analysis of inter-event time. In [19], a dynamic output feedback based event-triggered control scheme is introduced for stabilization of input feed-forward output feedback passive (IF-OFP) networked control systems (NCSs), which is a more general case compared with the passive and the output feedback passive (OFP) systems studied in [18]. Based on the results shown in [19], we propose a dynamic output feedback based event-triggered control set-up for NCSs which allows us to consider network induced delays both from the plant to the controller and from the controller to the plant. We show that based on the proposed set-up, finite-gain ℒ
₂
stability can be achieved in the presence of arbitrary constant network induced delays or time-varying delays with bounded jitters.