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GATE ECE 2017 Set 2 | Question: 48

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A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$$ The Nyquist path and the corresponding Nyquist plot of $G(s)$ are shown in the figures below.

If $0 < K < 1$, then the number of poles of the closed-loop transfer function that lie in the right-half of the $s$-plane is

  1. $0$
  2. $1$
  3. $2$
  4. $3$

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