Towards Traffic Bisimulation of Linear Periodic Event-Triggered Controllers

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Abstract

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
Volume5
Issue number1
DOIs
Publication statusPublished - 2020

Keywords

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

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