Journal
AUTOMATICA
Volume 128, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2021.109562
Keywords
Reaction-diffusion systems; Backstepping control design; Event-triggered control
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This paper presents an event-triggered boundary control approach for constant-parameters reaction-diffusion PDE systems, ensuring well-posedness and global exponential stability. It also establishes the minimal dwell-time and theoretical results with a simulation example.
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 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. (c) 2021 Elsevier Ltd. All rights reserved.
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