Transient Response of P-D Controller:
Derivative action is usually used to improve transient response of the closed loop system.
Only D control is not used because it amplifies high frequency noise which is never desired.
Derivative action decreases rise time and oscillations. However, it does not have any effect on
steady state performance of the closed loop.
The discussion above indicates that with P-D control, steady state error is still non-zero.
Derivative control is usually used to decrease oscillations in closed loop system outputs. The
following simulations were done on MATLAB-Simulink to illustrate the performance of P-D
control on first and second order plants.