Towards Traffic Bisimulation of Linear Periodic Event-Triggered Controllers

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We provide a method to construct finite abstractions exactly bisimilar to linear systems under a modified periodic event-triggered control (PETC), when considering as output the inter-event times they generate. Assuming that the initial state lies on a known compact set, these finite-state models can exactly predict all sequences of sampling times until a specified Lyapunov sublevel set is reached. Based on these results, we provide a way to build tight models simulating the traffic of conventional PETC. These models allow computing tight bounds of the PETC average frequency and global exponential stability (GES) decay rate. Our results are demonstrated through a numerical case study.
Original languageEnglish
Pages (from-to)25-30
JournalIEEE Control Systems Letters
Issue number1
Publication statusPublished - 2020

Bibliographical note

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Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Sampled-data control
  • hybrid systems
  • control over communications
  • networked control systems


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