Q$2.$We want to know whether a P$-$only controller can stabilize an unstable

process. A first$-$order system with a positive real pole of $s=0\mathrm{.}1$ and a gain of

$2$ is given for our experiment.

a$.$ What is the transfer function of the process?

b$.$ Draw a closed$-$loop block diagram for this experiment. Assume: $G_m=$

$G_v=1$

c$.$ For the servo problem, is it possible to stabilize the system using a P$-$only

controller? Explain how.

d$.$ Design the P$-$only controller so that the time constant for the response to

the set point change with a unit step is $10\mathrm{.}0$