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Article Dans Une Revue Automatica Année : 2021

Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach

Résumé

This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the time instants at which the control value needs to be updated. In this paper, it is shown that under the proposed event-triggered boundary control, there exists a minimal dwell-time (independent of the initial condition) between two triggering times and furthermore the well-posedness and global exponential stability are guaranteed. The analysis follows small-gain arguments and builds on recent papers on sampled-data control for this kind of PDE. A simulation example is presented to validate the theoretical results.
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Dates et versions

hal-03178456 , version 1 (23-03-2021)

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Nicolás Espitia, Iasson Karafyllis, Miroslav Krstic. Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach. Automatica, 2021, ⟨10.1016/j.automatica.2021.109562⟩. ⟨hal-03178456⟩
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