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

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