License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ECRTS.2020.21
URN: urn:nbn:de:0030-drops-123845
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12384/
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Maggio, Martina ; Hamann, Arne ; Mayer-John, Eckart ; Ziegenbein, Dirk

Control-System Stability Under Consecutive Deadline Misses Constraints

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LIPIcs-ECRTS-2020-21.pdf (0.5 MB)

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.

BibTeX - Entry

@InProceedings{maggio_et_al:LIPIcs:2020:12384,
  author =	{Martina Maggio and Arne Hamann and Eckart Mayer-John and Dirk Ziegenbein},
  title =	{{Control-System Stability Under Consecutive Deadline Misses Constraints}},
  booktitle =	{32nd Euromicro Conference on Real-Time Systems (ECRTS 2020)},
  pages =	{21:1--21:24},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-152-8},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{165},
  editor =	{Marcus V{\"o}lp},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12384},
  URN =		{urn:nbn:de:0030-drops-123845},
  doi =		{10.4230/LIPIcs.ECRTS.2020.21},
  annote =	{Keywords: Real-Time Control, Deadline Misses, Weakly Hard Models}
}

Keywords: Real-Time Control, Deadline Misses, Weakly Hard Models
Collection: 32nd Euromicro Conference on Real-Time Systems (ECRTS 2020)
Issue Date: 2020
Date of publication: 30.06.2020

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