Event-triggered gain scheduling of reaction-diffusion PDEs

Abstract

International audienceThis 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 suitableevent-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