Control System Stability under Consecutive Deadline Misses Constraints

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Abstract

This paper deals with the real-time implementation of feedback controllers. In particular, it provides an analysis of the stability property of closed-loop systems that include a controller that can sporadically miss deadlines. In this context, the weakly hard m-K computational model has been widely adopted and researchers used it to design and verify controllers that are robust to deadline misses. Rather than using the m-K model, we focus on another weakly-hard model, the number of consecutive deadline misses, showing a neat mathematical connection between real-time systems and control theory. We formalise this connection using the joint spectral radius and we discuss how to prove stability guarantees on the combination of a controller (that is unaware of deadline misses) and its system-level implementation. We apply the proposed verification procedure to a synthetic example and to an industrial case study.

Details

Authors
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering
Original languageEnglish
Title of host publication32nd Euromicro Conference on Real-Time Systems (ECRTS 2020)
EditorsMarcus Völp
PublisherSchloss Dagstuhl - Leibniz-Zentrum für Informatik
Pages21:1-21:24
Number of pages24
Volume165
ISBN (Print)978-3-95977-152-8
Publication statusPublished - 2020 Jun 30
Publication categoryResearch
Peer-reviewedYes
Event32nd Euromicro Conference on Real-Time Systems (ECRTS 2020) - Modena, Italy
Duration: 2020 Jul 72020 Jul 10
https://www.ecrts.org/archives/fileadmin/WebsitesArchiv/ecrts2020/workshops/wcet-2020/index.html

Conference

Conference32nd Euromicro Conference on Real-Time Systems (ECRTS 2020)
CountryItaly
CityModena
Period2020/07/072020/07/10
Internet address

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