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Question

# A unity feedback system has the open loop transfer function, G(s)=1(sâˆ’1)(s+2)(s+3) The Nyquist plot of G(s) encircle the origin.

A
Never
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B
Once
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C
Twice
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D
Thrice
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Solution

## The correct option is B OnceG(s)=1(s−1)(s+2)(s+3) Number of encirclements for (0,0) = no. of open loop poles on right hand plane - no. of open loop zeros on right hand plane number of open loop poles on right hand plane = 1 number of open loop zeros on right hand plane = 0 ∴ N = 1-0 = 1 ∴ number of encirclements about origin = 1

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