$15\mathrm{.}13.$ The feedforward control from set point given in Figure Q$15\mathrm{.}13$ has been

suggested.

$($a$)$ Derive the transfer function for the set point feedforward controller,

$G_{sp}(s).$

$($b$)$ Discuss this controller. Is it possible to implement, and how would it

affect the dynamic response of the controlled and manipulated vari$-$

ables?

$($c$)$ Discuss the need for a set point feedforward if the feedback controller

uses a PID algorithm.

FIGURE Q$15\mathrm{.}13$