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arXiv · 2005.13945

Event-triggered gain scheduling of reaction-diffusion PDEs

Iasson Karafyllis·Nicolas Espitia·Miroslav Krstic
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Abstract

This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary control are scheduled under two suitable event-triggered mechanisms. More precisely, gains are computed/updated on events according to two state-dependent event-triggering conditions: static-based and dynamic-based conditions, under which, the Zeno behavior is avoided and well-posedness as well as exponential stability of the closed-loop system are guaranteed. Numerical simulations are presented to illustrate the results.

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Iasson Karafyllis, Nicolas Espitia, Miroslav Krstic. 2020-05-28. Event-triggered gain scheduling of reaction-diffusion PDEs. https://arxiv.org/abs/2005.13945

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