GATE ECE 2006 | Frequency Response Analysis Question 39 | Control Systems

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through (-1,j0) point in the GH plane. The gain margin of the system in dB is equal to

infinite

greater than zero

less than zero

zero

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

Consider two transfer functions $${G_1}\left( s \right) = {1 \over {{s^2} + as + b}}$$ and $${G_2}\left( s \right) = {s \over {{s^2} + as + b}}.$$ The 3-dB bandwidths of their frequency responses are, respectively

$$\sqrt {{a^2} - 4b,} $$ $$\sqrt {{a^2} + 4b,} $$

$$\sqrt {{a^2} - 4b,} $$ $$\sqrt {{a^2} - 4b,} $$

$$\sqrt {{a^2} + 4b,} $$ $$\sqrt {{a^2} - 4b,} $$

$$\sqrt {{a^2} + 4b,} $$ $$\sqrt {{a^2} + 4b,} $$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

The polar diagram of a conditionally stable system for open loop gain K=1 is shown in figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for GATE ECE 2005 Control Systems - Frequency Response Analysis Question 36 English

GATE ECE 2005 Control Systems - Frequency Response Analysis Question 36 English

$$K < 5$$ and $${1 \over 2} < K < {1 \over 8}$$

$$K < {1 \over 8}and{1 \over 2} < K < 5$$

$$K < {1 \over 8}$$ and 5 < K

$$K > {1 \over 8}$$ and K < 5

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

The open loop transfer function of a unity feedback system is given by g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \right)}}.$$ Based on the above results, the gain and phase margins of the system will be

$$ - 7.09$$ dB and $${87.5^0}$$

$$ 7.09$$ dB and $${87.5^0}$$

$$ 7.09$$ dB and $${-87.5^0}$$

$$ - 7.09$$ dB and $${-87.5^0}$$

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