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

Nicolás Espitia (1) , Iasson Karafyllis (2) , Miroslav Krstic (3)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 NTUA - National Technical University of Athens [Athens]
3 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]

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 stated 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.

Domaines: Automatique / Robotique

Nicolás Espitia, Iasson Karafyllis, Miroslav Krstic. Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach. 2020 American Control Conference (ACC), Jul 2020, Denver, United States. ⟨10.23919/ACC45564.2020.9147807⟩. ⟨hal-02931402⟩