Timing abstraction of perturbed LTI systems with L2-based event-triggering mechanism

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Abstract

In networked control systems, the advent of event-triggering strategies in the sampling process has resulted in the usage reduction of network capacities, such as communication bandwidth. However, the aperiodic nature of sampling periods generated by event-triggering strategies has hindered the schedulability of such networks. In this study, we propose a framework to construct a timed safety automaton that captures the sampling behavior of perturbed LTI systems with an L2-based triggering mechanism proposed in the literature. In this framework, the state-space is partitioned into a finite number of convex polyhedral cones, each cone representing a discrete mode in the abstracted automaton. Adopting techniques from stability analysis of retarded systems accompanied with a polytopic embedding of time, LMI conditions to characterize the sampling interval associated with each region are derived. Then, using reachability analysis, the transitions in the abstracted automaton are derived.

Original languageEnglish
Title of host publicationProceedings 2016 IEEE 55th Conference on Decision and Control (CDC)
EditorsAlessandro Giua, Francesco Bullo, Christophe Prieur
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages1364-1369
ISBN (Print)978-1-5090-1837-6
DOIs
Publication statusPublished - 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016

Conference

Conference55th IEEE Conference on Decision and Control, CDC 2016
Abbreviated titleCDC 2016
CountryUnited States
CityLas Vegas
Period12/12/1614/12/16

Keywords

  • Automata
  • Symmetric matrices
  • Clocks
  • Safety
  • Linear systems
  • Bandwidth

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