Question
Download Solution PDFIn a positive feedback system if the open loop gain is -100 and the feedback factor 1/10, calculate the closed loop gain.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The open loop gain is given by G(s)
The feedback factor is given by H(s)
Hence the closed loop transfer function is given by \(\frac{G(s)}{1+G(s)H(s)}\)
The transfer function of the closed-loop transfer function, with a positive value of feedback gain, is given by,
\(\frac{{G\left( s \right)H\left( s \right)}}{{1 - G\left( s \right)H\left( s \right)}}\)
Calculation
Given G(s) = -100
H(s) = 1/10
The closed-loop transfer function is given by:
\(\frac{-100}{1-(-100)0.1} =-\frac{100}{11}\) = -9.09
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