Stabilization of coupled unstable semilinear reaction-advection-diffusion PDEs with spatially varying coefficients via event-triggered boundary feedback
Year: 2024
Type: article
Abstract: This paper presents an event-triggered boundary control strategy for a class of unstable $ N $-coupled semilinear reaction-diffusion systems with spatially varying coefficients. The event-triggered control approach consists of a backstepping boundary controller and a triggering condition, which determines the time instants at which the control input needs to be updated. By using event-triggered boundary control, the Zeno behavior is avoided. Further, the well-posedness and the exponential stability of the closed-loop system are established. Finally, some numerical examples are given to verify the effectiveness of the event triggering controller.
DOI: 10.3934/eect.2024075
Authors: Le-Le Wang, Jun-Jun Liu, Han-Wen Zhang
Institutions: Taiyuan University of Technology, Shanxi University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405808872