Stability of planar switched systems under delayed event detection
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Authors
Legat, BenoitGomes, Claudio
Karalis, Paschalis
Jungers, Raphael M
Navarro-Lopez, Eva M
Vangheluwe, Hans
Issue Date
2021-01-11
Metadata
Show full item recordAbstract
In this paper, we analyse the impact of delayed event detection on the stability of a 2-mode planar hybrid automata. We consider hybrid automata with a unique equilibrium point for all the modes, and we find the maximum delay that preserves stability of that equilibrium point. We also show for the class of hybrid automata treated that the instability of the equilibrium point for the equivalent hybrid automaton with delay in the transitions is equivalent to the existence of a closed orbit in the hybrid state space, a result that is inspired by the Joint Spectral Radius theorem. This leads to an algorithm for computing the maximum stable delay exactly. Other potential applications of our technique include co-simulation, networked control systems and delayed controlled switching with a state feedback control.Citation
Legat, B., Gomes, C., Karalis, P. et al. (2020) Stability of planar switched systems under delayed event detection. 2020 59th IEEE Conference on Decision and Control (CDC), 14th-18th December, 2020, Jeju, Korea.Publisher
IEEEJournal
2020 59th IEEE Conference on Decision and Control (CDC)Additional Links
https://ieeexplore.ieee.org/document/9304152Type
Conference contributionLanguage
enDescription
This is an accepted manuscript of an article published by IEEE in 2020 59th IEEE Conference on Decision and Control (CDC), available online: https://ieeexplore.ieee.org/document/9304152 The accepted version of the publication may differ from the final published version.ISSN
2576-2370ISBN
9781728174471ae974a485f413a2113503eed53cd6c53
10.1109/cdc42340.2020.9304152
Scopus Count
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Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/