Please use the screenshot for 1-31. For the feedback system in Problem 1, find the transfer function from

the sensor noise n to the output y.

A. K/(s+K) (WRONG ANSWER)

B. 1/(s+K) (Wrong Answer)

C. s/(s+K)

D. –sK/(s+K)

E. None of the above.

2. For the feedback system in Problem 1, is it possible to tunethe controller gain K so that the steady-state error e to step output disturbances dy is 0?

A. Always.

B. Never. (WRONG ANSWER)

C. Yes, when K > 0. (Wrong Answer)

D. Yes, when K > 1.

E. None of the above.

3. For the standard negative feedback loop P(s)=1/(s+1),C(s)=PI, F(s)=1 unity feedback, tune a PI controller C(s) for a crossover frequency of 0.5rad/s and a phase margin of at least60deg.

A. (0.37s + 1.37)/s (Wrong Answer)

B. (2s+1)/s

C. (0.067 s + 0.56)/s (WRONG ANSWER)

D. (1.23 s + 3.73)/s

E. None of the above.

4. PI controllers:

A. can eliminate constant disturbances from the output but they cannot increase the Bandwidth of the loop. (Wrong Answer)

B. can eliminate constant disturbances from the output and always increase the Bandwidth of the loop.

C.cannot eliminate constant input disturbances from the output but they increase the Bandwidth of the loop.

D. can eliminate constant disturbances from the output andalways decrease the Bandwidth of the loop. (WRONG ANSWER)

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