Q$1)$ A control loop of mixing tank has the following transfer functions:

Process $=\frac{1\mathrm{.}25}{s+1}$;

$(16)$

Electronic controller $=3\mathrm{.}2$

Pneumatic valve $=\frac{1}{s+0\mathrm{.}5}$

Pneumatic measurement $=1$

For a set point change of $0\mathrm{.}1$ unit,

i$)$ Draw the closed loop block diagram showing control signals

ii$)$ Determine system transfer function

iii$)$ Write system response as function of time and then sketch it$.$

$[10$ marks$]$

$[10$ marks$]$

$[10$ marks$]$

iv$)$ Find the offset

$[5$ marks$]$