Figure $1$ shows a general block ofigigin of s closed loop feedbock system. You are required to derive the closed loop transfer function as given in Figure $2$ in the space provided affer Figgure $2.$

Figure $1$ Feediback Elock oisgram!

$q,$

$q,$

$$ Figure $2$ Closed lop transfer function

$q,$

Derive the closed loop equations.

$(10$ marks $)$

Using the derived equations, you are required to implement the equations assigned to your grovo by your tutor using fython oontrol tool library and perform s step response simulation of the system. The values of $G_1(s),H(s)$ and $K_2$ is listed in Table $1.$ You will need to submit you Pytion prosram ss s python file together yau sssignnent laboretory report.

$(10$ marks $)$

You are to give the derived close loop transfer function for esoh ks value.