An input-to-state stable implementation of event-triggered CBTC

Abstract

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 intertrain 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. Index Terms—CBTC, event-triggered control, input-to-state stability