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Certifying Safety for Nonlinear Time Delay Systems via Safety Functionals: A Discretization Based Approach

Kiss, Adam K. and Molnár, Tamás G. and Bachrathy, Dániel and Ames, Aaron D. and Orosz, Gábor (2021) Certifying Safety for Nonlinear Time Delay Systems via Safety Functionals: A Discretization Based Approach. In: 2021 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 1058-1063. ISBN 978-1-6654-4197-1. https://resolver.caltech.edu/CaltechAUTHORS:20210825-152426141

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Abstract

In this paper, we consider the safety of continuous time control systems with input delays. Safety functionals are constructed that define safety sets in the infinite-dimensional state space. Time-discretization is used in order to compute safety sets in finite dimensions and it is shown that these sets approach an infinite-dimensional safety set as the time step is decreased. A simple example of a nonlinear scalar system is used to demonstrate the convergence of the proposed methods.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.23919/acc50511.2021.9482688DOIArticle
ORCID:
AuthorORCID
Kiss, Adam K.0000-0002-7074-4553
Molnár, Tamás G.0000-0002-9379-7121
Bachrathy, Dániel0000-0003-1491-1852
Ames, Aaron D.0000-0003-0848-3177
Orosz, Gábor0000-0002-9000-3736
Additional Information:© 2021 AACC.
DOI:10.23919/acc50511.2021.9482688
Record Number:CaltechAUTHORS:20210825-152426141
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210825-152426141
Official Citation:A. K. Kiss, T. G. Molnar, D. Bachrathy, A. D. Ames and G. Orosz, "Certifying Safety for Nonlinear Time Delay Systems via Safety Functionals: A Discretization Based Approach," 2021 American Control Conference (ACC), 2021, pp. 1058-1063, doi: 10.23919/ACC50511.2021.9482688
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110418
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Aug 2021 17:05
Last Modified:25 Aug 2021 17:05

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