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

Conference paper (2021)

Authors

Giannis Delimpaltadakis Team Manuel Mazo Jr - Mechanical, Maritime and Materials Engineering
L. Laurenti Team Luca Laurenti - Mechanical, Maritime and Materials Engineering
M. Mazo Team Manuel Mazo Jr - Mechanical, Maritime and Materials Engineering
Research Group
Team Manuel Mazo Jr (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2021 Giannis Delimpaltadakis, L. Laurenti, M. Mazo
DOI
help_outline
https://doi.org/10.1109/CDC45484.2021.9683751
More Info
expand_more

Published Date

2021

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Manuel Mazo Jr

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.