2026-07-25T11:43:16Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:12384 2024-03-06T10:49:51Z ddc:004 open_access

Control-System Stability Under Consecutive Deadline Misses Constraints Maggio, Martina Hamann, Arne Mayer-John, Eckart Ziegenbein, Dirk Real-Time Control Deadline Misses Weakly Hard Models 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Martina Maggio and Arne Hamann and Eckart Mayer-John and Dirk Ziegenbein 2020 Is Part Of LIPIcs, Volume 165, 32nd Euromicro Conference on Real-Time Systems (ECRTS 2020) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.ECRTS.2020.21 urn:nbn:de:0030-drops-123845 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECRTS.2020.21 eng https://creativecommons.org/licenses/by/3.0/legalcode