Tracking control for a boundary-controlled heat equation
The aim of tracking control is the design of a closed-loop
controller such that the output of the system (approximately) follows
a given reference signal. For a certain class of systems governed by
ordinary differential equations, the "funnel-controller"
suitably fulfills this job.
We will introduce this controller and show that it can as well be applied to a heat equation with Neumann boundary control and output formed by the spatial integral of the Dirichlet boundary.