repeat it for controller gain with $10,$ and $100.$ Discuss about the effect of gain on the maximum values of the

response.

Keep the gain at $50$ and decrease the integral time from $10$ to $5$ and $1,$ what would be the effect? Control Element

Controller

Tansmitter

Transducer

Control valve

Gain of set$-$point

$\backslash$table$[[$Parameters$],[$K$1],[$K$2],[$K$3],[\backslash$tau $],[\backslash$rho $,($kg$)/($m$^(3))],[$V$,($m$^(3))/($q$\_(1)($t$))($m$^(3))/(($h$))],[$x$\_(1)($t$)],[$x$\_($sp$)^(\text{'})($t$)],[\backslash$bar $($q$)\_(1),($m$^(3))/(($h$))]]$PI

$G_c=50(1+\frac{1}{10s})$

$G_m=16$

$G_{IP}=0\mathrm{.}75$

$G_v=5$

$G_{sp}=16$

Find in the model

Find in the model

Find in the model

Find in the model

$900$

$50$

$100$

$0\mathrm{.}55$

$0$

$100$A mixing tank is working in a steady$-$state. Streams $1$ and $2$ are mixed at an overflow well$-$mixed tank

with volume of $V.$ The composition of component A$,$ at streams $1$ and $2$ are shown by $x_1$ and $x_2,$

respectively, where, stream $2$ is pure with A making $x_2=1.$ A concentration control system with the

given information is installed on the process to control the outlet mass fraction where the manipulated

variable would be the flow rate of the stream $2.$

In the table given below you can find the transfer functions of each element of the control system.

a$)$ Develop the process dynamic model in Laplace domain.

b$)$ Draw the block diagram of control system including all the elements $($process$,$ transmitter,

controller, control valve, IP transducer, and what else you may consider$).$

c$)$ Each must perform the tasks given below: