Event-triggered gain scheduling of reaction-diffusion PDEs
Optimization and Control
2020-05-29 v1 Systems and Control
Systems and Control
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.
Cite
@article{arxiv.2005.13945,
title = {Event-triggered gain scheduling of reaction-diffusion PDEs},
author = {Iasson Karafyllis and Nicolas Espitia and Miroslav Krstic},
journal= {arXiv preprint arXiv:2005.13945},
year = {2020}
}
Comments
20 pages, 5 figures, submitted to SICON