Consider a feedback control system with the following transfer functions:

$G_c=K_0(as+1),G_f=\frac{1}{bs+1},G_p=\frac{1}{(s)(cs+1)},G_d=\frac{3}{5s+1},G_m=1$

a$)$ Draw the closed$-$loop block diagram for the given transfer functions and determine $y^{\text{'}}\frac{s}{y^{\text{'}}}sp(s)$ and $y^{\text{'}}\frac{s}{d^{\text{'}}}(s).$

b$)$ Plot the Bode diagram for the open loop transfer function.

i$)$ Sketch the Bode plots yourself on log$-$log paper.