  The problem of estimating the reaction coefficient of a system governed by a
reaction-diffusion partial differential equation is tackled. An estimator
relying on boundary measurements only is proposed. The estimator is based upon
a setpoint regulation strategy and leads to an asymptotically converging
estimate of the unknown reaction coefficient. The proposed estimator is
combined with a state observer and shown to provide an asymptotic estimate of
the actual system state. A numerical example supports and illustrates the
theoretical results.
