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GATE : Calculate Gain and Phase margin from a transfer function questions

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The open loop transfer function of negative feedback transfer function is G(s)H(s) = \frac{1}{(1+s)^3}

1) The phase crossover frequency in (rad/sec) is

a) \sqrt{3}  b) 3    c) 1/3    d) \frac{1}{\sqrt{3}}

 

2) The  value of gain margin in dB is

a) 24.08          b) 18.06         c) 12.04         d) 6.02

 

3) The gain crossover frequency is

a) 0         b) Infinity     c) \sqrt{2}     d) \sqrt{2}

 

4) The phase margin is

a) \pi       b) 0     c) \pi/4           d) \pi/2

 

5) The system with open loop transfer function G(s)H(s)= \frac{1}{s(s^2+s+1)}  has a gain margin of

a) -6 dB    b) 0 dB    c) 3.5 dB  d) 6 dB

Ans : b

 

6) The gain margin of a system having transfer function

G(s) H(s) = \frac {2}{s(s+1)} is

 

a) 0        b) 3        c) 6       d) Infinity

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