Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach
Abstract
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 sampled/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.
Cite
@article{arxiv.1909.10472,
title = {Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach},
author = {Nicolas Espitia and Iasson Karafyllis and Miroslav Krstic},
journal= {arXiv preprint arXiv:1909.10472},
year = {2019}
}
Comments
10 pages, to be submitted to Automatica