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The figure shows the Nyquist plot of the open-loop transfer function G(s)H(s) of a system. If G(s)H(s) has one right-hand pole, the closed-loop system is -

The figure shows the Nyquist plot of the open-loop transfer function G(s)H(s) of a system. If G(s)H(s) has one right-hand pole, the closed-loop system is - Correct Answer Always stable

Concept:

The stability from the Nyquist plot is given by:

N = P - Z

where N = No. of encirclement of the critical point -1+j0 in an anticlockwise direction

P = No. of open-loop poles

Z = No. of zeroes of the characteristic equation

For a system to be stable, the value of Z = 1.

Calculation:

[ alt="F1 Savita Engineering 2-7-22 D21" src="//storage.googleapis.com/tb-img/production/22/07/F1_Savita_Engineering_2-7-22_D21.png" style=" width: 290px; height: 170px;">

Given, P = 1

From the figure, N =1

N = P - Z

1 = 1 - Z

Z = 0

Hence, the system is stable.

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