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

Giannis Delimpaltadakis, L. Laurenti, M. Mazo

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)
6 Downloads (Pure)


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)
ISBN (Print)978-1-6654-3659-5
Publication statusPublished - 2021
Event60th IEEE Conference on Decision and Control (CDC 2021) - Austin, United States
Duration: 14 Dec 202117 Dec 2021


Conference60th IEEE Conference on Decision and Control (CDC 2021)
Country/TerritoryUnited States

Bibliographical note

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