It is desired to control the composition and the level of the mixing tank used to prepare a saline solution at the nominal value by two PID controllers. There are $2$ inlet streams entering the mixing tank. Density of the mixture can be assumed constant through out the mixing process. The dilute inlet stream has a constant composition of $10$ wt$\%$ with a nominal flowrate of $5$kg$/$min$.$ The other concentrated stream has a constant composition which is $80\%$ and has a nominal stream flowrate of $4$kg$/$min$.$ It is desired to keep the level of the cylindrical mixing tank with a crosssectional area of $1$m$?$ at $3$m$.$

a$)$ If the dilute stream is considered to be disturbance to the mixing tank. Draw a block diagram for level and composition control system.

b$)$ Determine all transfer functions that relates level of the tank and the product composition to set point and disturbance variable.,

c$)$ Construct the block diagram in simulink. And analyze the effect of one of the PID controller parameters on the response characteristics for a unit step change in disturbance variable.It is desired to control the composition and the level of the mixing tank used to prepare a saline solution

at the nominal value by two PID controllers. There are $2$ inlet streams entering the mixing tank. Density

of the mixture can be assumed constant through out the mixing process. The dilute inlet stream has a

constant composition of $10wt\%$ with a nominal flowrate of $5k\frac{g}{m}in.$ The other concentrated stream

has a constant composition which is $80\%$ and has a nominal stream flowrate of $4k\frac{g}{m}in.$ It is desired

to keep the level of the cylindrical mixing tank with a crosssectional area of $1m^2$ at $3m.$

a$)$ If the dilute stream is considered to be disturbance to the mixing tank. Draw a block diagram

for level and composition control system.

b$)$ Determine all transfer functions that relates level of the tank and the product composition to

set point and disturbance variable.,

c$)$ Construct the block diagram in simulink. And analyze the effect of one of the PID controller

parameters on the response characteristics for a unit step change in disturbance variable.

You can assume all control elements in the control system have fast dynamics with unit gains. You

can ask question by showing your progress in your project$$

Hint for block diagram.