QUESTION

Kuntakente Sdn$.$ Bhd$.$ plan to use Bode plot approach to determine the stability of a system given by the transfer function below.

$G(s)=\frac{2000(s+0\mathrm{.}5)}{s(s+10)(s+50)}$

As an engineer :

a$)$ Sketch the magnitude and phase asymptotic Bode plot for the system manually $($Using semi log paper$).$

b$)$ Plot the magnitude and phase asymptotic Bode plot in MATLAB to verify the result obtained in $($a$)($you hand$-$sketched asymptotic plot$).$

c$)$ Use the MATLAB function to obtain the gain margin and phase margin for the system.

d$)$ Comment on system stability of the system based on obtaining gain margin and phase margin.

I need expert