Summary of models presented
PID control applications - Temperature and position control

The principle of calculating the PID corrector C (p ) adapted to a system modelled by the transfer function F (p ) consists in performing the equivalence C (p ) F (p ) º T _m (p ). This is an open-loop transfer function calibration method [S 7 090] ref [10] in which low-pass filtering of the derivative effect is taken into account.

The choice of model T _m (p ) depends on the class of F (p ) and $\underset{\omega \text{→}\infty }{\text{lim}}\text{arg}\left[F\left(\text{j}\omega \right)\right]$...