Abstracting the Sampling Behaviour of Stochastic Linear Periodic Event-Triggered Control Systems

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Abstract

Recently, there have been efforts towards understanding the sampling behaviour of event-triggered control (ETC), for obtaining metrics on its sampling performance and predicting its sampling patterns. Finite-state abstractions, capturing the sampling behaviour of ETC systems, have proven promising in this respect. So far, such abstractions have been constructed for non-stochastic systems. Here, inspired by this framework, we abstract the sampling behaviour of stochastic narrow-sense linear periodic ETC (PETC) systems via Interval Markov Chains (IMCs). Particularly, we define functions over sequences of state-measurements and interevent times that can be expressed as discounted cumulative sums of rewards, and compute bounds on their expected values by constructing appropriate IMCs and equipping them with suitable rewards. Finally, we argue that our results are extendable to more general forms of functions, thus providing a generic framework to define and study various ETC sampling indicators.
Original languageEnglish
Title of host publicationProceedings of the 60th IEEE Conference on Decision and Control (CDC 2021)
PublisherIEEE
Pages1287-1294
ISBN (Print)978-1-6654-3659-5
DOIs
Publication statusPublished - 2021
Event60th IEEE Conference on Decision and Control (CDC 2021) - Austin, United States
Duration: 14 Dec 202117 Dec 2021

Conference

Conference60th IEEE Conference on Decision and Control (CDC 2021)
Country/TerritoryUnited States
CityAustin
Period14/12/2117/12/21

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
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.

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