An Input-to-State Stable Implementation of Event-Triggered CBTC

This paper studies a formation control problem in communication-based train control (CBTC) implementation under an event-triggered control scheduling framework using the formalism of input-to-state stability (ISS) property. The examined control objective that is considered in this paper is that of guaranteeing the boundedness of the resulting inter-train safe distance with respect to variation on some predefined reference distance and speed profiles. Using the fundamental ISS property of event-triggered control scheduling implementation, this paper shows that the resulting event-triggered CBTC system implementation can be guranteed to be ISS with respect to the reference movement (inter trains safe distance and velocity) profiles provided that the used event-triggered parameter satisfies a particular inequality.