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

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