Minimally Constrained Stable Switched Systems and Application to Co-simulation

Cláudio, Gomes;Jungers, Raphaël;Legat, Benoît;Hans, Vangheluwe
(2018) 57th IEEE Conference on Decision and Control 2018 — Location: Miami Beach, FL, USA (17.December.2018)

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Authors
  • Cláudio, GomesUniversity of Antwerp, Belgium
    Author
  • Jungers, RaphaëlUCLouvain
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  • Legat, Benoîtorcid-logoUCLouvain
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  • Hans, VangheluweUniversity of Antwerp, Belgium
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Abstract
We propose an algorithm to restrict the switching signals of a constrained switched system in order to guarantee its stability, while at the same time attempting to keep the largest possible set of allowed switching signals. Our work is motivated by applications to (co-)simulation where numerical stability is a hard constraint, but should be attained by restricting as little as possible the allowed behaviours of the simulators. We apply our results to certify the stability of an adaptive co-simulation orchestration algorithm, which selects the optimal switching signal at run-time, as a function of (varying) performance and accuracy requirements
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Cláudio, G., Jungers, R., Legat, B., & Hans, V. (2018). Minimally Constrained Stable Switched Systems and Application to Co-simulation. IEEE Conference on Decision and Control. Proceedings, 5676-5681. https://doi.org/10.1109/CDC.2018.8619223 (Original work published 2018)