You are right, but it would be nice to have a step-by-step explanation of how the tuning works. A black box is somewhat unsatisfying.
(And of course it doesn't need to explain what a Laplace transform is, as this is aimed at control engineers)
In the grandparent's defence, I thought it was about a cgroup controller: https://www.kernel.org/doc/Documentation/cgroup-v1/pids.txt.
It's a common feedback control scheme for signal processing and engineering control more generally.
[0]https://en.m.wikipedia.org/wiki/PID_controller