The transfer function of a control system is given below

$G(j)=\frac{5(1+j0\mathrm{.}1)}{j(1+j0\mathrm{.}5)(1+j0\mathrm{.}6(\frac{}{50})+(\frac{j}{50}{)}^2)}$

a$)$ Determine poles and zeros.

$[20\%]$

b$)$ Sketch the asymptotic approximation of Bode magnitude and phase plots.

$80\%$