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Stability of planar switched systems under delayed event detection
Legat, Benoit Gomes, Claudio Karalis, Paschalis Jungers, Raphael M Vangheluwe, Hans
Legat, Benoit
Gomes, Claudio
Karalis, Paschalis
Jungers, Raphael M
Vangheluwe, Hans
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2021-01-11
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Abstract
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
B. Legat, C. Gomes, P. Karalis, R. M. Jungers, E. M. Navarro-López and H. Vangheluwe, "Stability of Planar Switched Systems under Delayed Event Detection," 2020 59th IEEE Conference on Decision and Control (CDC), Jeju, Korea (South), 2020, pp. 5792-5797, doi: 10.1109/CDC42340.2020.9304152.
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en
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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.
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2576-2370
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9781728174471