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arXiv · 2009.11936

Observer-based Event-triggered Boundary Control of a Class of Reaction-Diffusion PDEs

Bhathiya Rathnayake·Mamadou Diagne·Nicolas Espitia·Iasson Karafyllis
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Abstract

This paper presents an observer-based event-triggered boundary control strategy for a class of reaction-diffusion PDEs with Robin actuation. The observer only requires boundary measurements. The control approach consists of a backstepping output feedback boundary controller, derived using estimated states, and a dynamic triggering condition, which determines the time instants at which the control input needs to be updated. It is shown that under the proposed observer-based event-triggered boundary control approach, there is a minimal dwell-time between two triggering instants independent of initial conditions. Furthermore, the well-posedness and the global exponential convergence of the closed-loop system to the equilibrium point are established. A simulation example is provided to validate the theoretical developments.

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Bhathiya Rathnayake, Mamadou Diagne, Nicolas Espitia, Iasson Karafyllis. 2020-09-24. Observer-based Event-triggered Boundary Control of a Class of Reaction-Diffusion PDEs. https://arxiv.org/abs/2009.11936

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