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akch2002, Engineer
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# FIGURE 3 shows the block diagram of the control of an electric

### Resolved Question:

FIGURE 3 shows the block diagram of the control of an electric heating
system. The heater is driven from a voltage-controlled power supply, the
voltage V1 being derived from a potientiometer. The output temperature,
θO, is subject to disturbances, θD, because of changes in the ambient
temperature. It is proposed to apply 'disturbance feedback control' to the
system by the inclusion of a transducer that measures the external
temperature and feeds a signal back to the input via a proportional
controller of gain H.

Determine the required value of H to eliminate the effect of the disturbance.

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Submitted: 4 years ago.
Category: Homework
Expert:  akch2002 replied 4 years ago.
ThanksCustomerfor putting up the question to me. Kindly indicate dead line for replying this question.
Customer: replied 4 years ago.
Up to 5 day from now.

Regards
Expert:  akch2002 replied 4 years ago.
OK. I will try to reply asap.
Expert:  akch2002 replied 4 years ago.
word file
Customer: replied 4 years ago.
Good Day,

I could not understand this part where you said:

We will have θ0 independent of θD,

then the rsult appeared ignoring all other variables such as V1!

Expert:  akch2002 replied 4 years ago.
see θ0 = 0.8V1- 0.05*0.8H θDD as derived in the answer.

We will have
θ0 = 0.8V1 if - 0.05*0.8H θDD = 0. From this we determine H = 25.

And we will have
θ0 independent of θD,

The equation has been solved to get H = 25. Probably you are not able to see the whole solution. Inform me if it is not clear. I will upload solution in JPEG format.