The matlab system identification toolbox is nice to get a casual feel for the systems. Note that pid controllers are mostly used due to their computational rath

The matlab system identification toolbox is nice to get a casual feel for the systems. Note that pid controllers are mostly used due to their computational rather than control performance. They are math equivalent for linear systems, but thats like saying x=inv(A)b is just as good... The powerful idea is the linear system model or the stochastic linear system model. Understand them and the properties of recursive filters and pid will come naturally.