Question
Download Solution PDFIf the value of (1 + GH) is less than 1, then sensitivity is/has _____.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFTransfer Function
The transfer function is defined as the ratio of the Laplace transform of the output to the Laplace transform of the input keeping initial conditions zero.
The transfer function of the closed-loop system is:
\({C(s)\over R(s)}={G\over 1+GH}\)
where, G = Open loop gain
H = Feedback gain
Sensitivity of the transfer function
Case 1: Sensitivity with respect to the open loop gain (G)
\(S={1\over 1+GH}\)
Case 2: Sensitivity with respect to the feedback gain (H)
\(S={-GH\over 1+GH}\)
In both cases, if the value of (1 + GH) is less than 1, then sensitivity increases.
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