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11
The Nyquist plot of: $$G\left( s \right).H\left( s \right) = \frac{{10}}{{{s^2}\left( {1 + 0.5s} \right).\left( {1 + s} \right)}}$$
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Answer: Option A
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12
A phase lead compensating network has its transfer function $${G_C}\left( s \right) = \frac{{10\left( {1 + 0.04s} \right)}}{{\left( {1 + 0.01s} \right)}}.$$     The maximum phase lead occurs at a frequency of:
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Answer: Option A
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13
Which one of the following compensation is adopted for improving transient response of a negative unity feedback system?
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Answer: Option A
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14
A liquid level controller linearly converts a displacement of 2 m to 3 m into 4-20 mA control signal. A relay serves as two position controller to open and close an inlet valve. Relay closes at 12 mA and opens at 10 mA. The hysteresis zone is:
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Answer: Option B
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15
Given the system transfer function $$G\left( s \right) = \frac{{K{e^{ - 0.2s}}}}{{s\left( {s + 2} \right)\left( {s + 8} \right)}},$$     the corner frequencies in rad/s are
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Answer: Option D
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16
A second order LTI system is described by the following state equations
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x1(t) - x2(t) = 0
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x2(t) + 2x1(t) + 3x2(t) = r(t) where x1(t) and x2(t) are the two state variables and r(t) denotes the input. The output c(t) = x1(t).
The system is
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Answer: Option D
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17
Where are the K = ±∞ points on the root loci of the characteristic equation of the closed loop control system located at?
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Answer: Option B
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18
The feedback control system in the figure is stable.
Control Systems mcq question image
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Answer: Option C
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19
Consider the characteristic equation of a control system given by s3 + (K + 0.5)s2 + 4Ks + 50 = 0. Find the value of K for the system to have sustained oscillations.
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Answer: Option C
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20
The open-loop transfer function of a system is given by $$G\left( s \right)H\left( s \right) = \frac{{100\left( {s + 100} \right)}}{{s\left( {s + 10} \right)}}.$$      In the straight line approximation of the Bode plot, |G(jω) H(jω)| and ∠G(jω) H(jω) at ω = 100 rad/s are:
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Answer: Option C
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