ECE :: Automatic Control Systems
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Assertion (A): Positive feedback is not used in any circuit.
Reason (R): Positive feedback leads to instability.
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For the equation
where Q is heat energy Gt is thermal conductance and θ is temperature, analogous electrical equation is -
If the Nyquist plot does not encircle the (-1 + j0) point the system is always stable.
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A system has transfer function
. If a sinusoidal input of frequency ω is applied the steady state output is of the form -
For a quadratic factor in transfer function the phase angle is not a function of damping factor.
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For the compensator in the given figure the maximum phase lead is
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For unit step input the settling time for 2% tolerance band is
= 1.25 s. For 2% criterion, settling time = 4T = 5 seconds.
or 
.
Hence 
= 0.5 and φm = 30°.