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In the Nyquist plot of the open-loop transfer function G(s)H(s) = (3s + 5)/(s - 1) corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at
- G(s)H(s) = ∞
- G(s)H(s) = 0
- G(s)H(s) = 3
- G(s)H(s) = -5
Correct answer: G(s)H(s) = 3
Solution
The infinite semicircular arc maps to the value of G(s)H(s) as s approaches infinity: lim (3s+5)/(s-1) = 3. So the arc maps to G(s)H(s)=3, which is option 2, not the stored option 1.
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