Towards Traffic Bisimulation of Linear Periodic Event-Triggered Controllers

Journal article (2020)

Authors

G. de Albuquerque Gleizer Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering
M. Mazo Espinosa Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering
Research Group
Team Tamas Keviczky (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2020 G. de Albuquerque Gleizer, M. Mazo
DOI: https://doi.org/10.1109/LCSYS.2020.2999177
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Published Date

2020

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Tamas Keviczky

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.

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