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(Solved): How to obtain the answer below? The open-loop t ...
How to obtain the answer below?
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![The open-loop transfer function of a unity-feedback control system is
\[
G(s)=\frac{K}{(s+a)(s-b)}
\]
Determine the sensitivi](https://media.cheggcdn.com/media/f8b/f8bf3f8f-58a4-45d2-a26a-f3fa15d6d232/phpzD7Iii)
The open-loop transfer function of a unity-feedback control system is \[ G(s)=\frac{K}{(s+a)(s-b)} \] Determine the sensitivity, \( S_{A}^{T} \), of the closed-loop transfer function to changes in the plant pole at \( a \). Write your answer(s) in the spaces below. No unit is needed. Short Question 3 Answer(s): \( S_{A}^{T} \) : \[ S_{B}^{T}=\frac{(-A)(s-b)}{(s+A)(s-b)+K} \]
Expert Answer
The open loop transfer function is, G(s)=K(s+a)(s+b) Determine the sensitivity , SAT of the closed-loop transfer function to changes in the plant pole