(a) (b) (c) Consider a plant with transfer function P(s) = = 1 s(s+1)* For a PD control C(s) = s +2, compute the sensitivity and complementary sensitivity functions, respectively. Show the working and the results. Explain the significance of the sensitivity function with respect to system uncertainty. Explain how the sensitivity function and complemen- tary sensitivity function impose limitations to the performance of feedback controllers in the presence of disturbances and noises.

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Hi, can you help me solve this controm systems engineering problem please? Step by step solutions would be appreciated! Thank you.

(a)
(b)
(c)
Consider a plant with transfer function
P(s) =
=
1
s(s+1)*
For a PD control C(s) = s +2, compute the sensitivity
and complementary sensitivity functions, respectively. Show the
working and the results.
Explain the significance of the sensitivity function with
respect to system uncertainty.
Explain how the sensitivity function and complemen-
tary sensitivity function impose limitations to the performance of
feedback controllers in the presence of disturbances and noises.
Transcribed Image Text:(a) (b) (c) Consider a plant with transfer function P(s) = = 1 s(s+1)* For a PD control C(s) = s +2, compute the sensitivity and complementary sensitivity functions, respectively. Show the working and the results. Explain the significance of the sensitivity function with respect to system uncertainty. Explain how the sensitivity function and complemen- tary sensitivity function impose limitations to the performance of feedback controllers in the presence of disturbances and noises.
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