Control Systems MCQ Questions & Answers

81

Which one of the following statements is correct in respect of the theory of stability?

A) Phase margin is the phase angle lagging, in short of 180°, at the frequency corresponding to a gain of 10 B) Gain margin is the value by which the gain falls short of unity, at a frequency corresponding to 90° phase lag C) Routh's-Hurwitz criterion can determine the degree of stability. D) Gain margin and phase margin are the measure of the degree of stability

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Answer & Solution

Answer: Option D

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82

If $$X\left( s \right) = \frac{1}{{\left( {1 + s} \right)}}$$ is the given network function, which one of the following describes the correct Bode plot?

A) A straight line with a slope of -20 dB/decade B) A straight line with a slope of 20 dB/decade passing through the point 0 dB and 1 rad/s C) Constant at 0 dB for ω < 1 and a slope of +20 dB/decade for ω > 1 D) Constant at 0 dB for ω < 1 and a slope of -20 dB/decade for ω > 1

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Answer & Solution

Answer: Option D

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83

A second-order overall transfer function is given by $$\frac{4}{{{s^2} + 2s + 4}}.$$ It's resonant frequency is:

A) 2 B) $$\sqrt 2 $$ C) $$\sqrt 3 $$ D) 3

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Answer & Solution

Answer: Option B

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84

What is the value of the damping ratio of a second order system when the value of the resonant peak is unity?

A) $$\sqrt 2 $$ B) Unity C) $$\frac{1}{{\sqrt 2 }}$$ D) Zero

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Answer: Option C

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85

A closed loop system is shown in the above figure.
What is the ratio of output frequencies $$\frac{{\omega \left( {{\text{for }}K = 32} \right)}}{{\omega \left( {{\text{for }}K = 16} \right)}}?$$
Control Systems mcq question image

A) 1.40 B) 1.42 C) 1.44 D) 1.46

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Answer & Solution

Answer: Option C

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86

The system mode described by state equations
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} 0&1\\ 2&{ - 3} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u,\,y = \left[ {1\,\,1} \right]x {\rm{ is}}\]

A) controllable and observable B) controllable but not observable C) observable but not controllable D) neither controllable nor observable

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Answer & Solution

Answer: Option A

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87

If the state space equation of a system is:
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} { - 3}&1\\ 0&{ - 2} \end{array}} \right]x\]
And the initial state value x(0) =[10 -10]^T, the steady-state value is [A B]^T, what are the respective values of A and B?

A) 0, 0 B) -3, -2 C) 0, 1 D) ∞, ∞

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Answer & Solution

Answer: Option A

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88

In a speed control system, output rate feedback is used to

A) Limit the speed of motor B) Limit the acceleration of motor C) Reduce the damping of the system D) Increase the gain margin

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Answer & Solution

Answer: Option C

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89

Which one of the following relations holds good for the tachometer shown in the given figure?
Control Systems mcq question image

A) V₂(s) = sk_tω(s) B) V₂(s) = k_ts²θ(s) C) V₂(s) = k_ts²ω(s) D) V₂(s) = k_tsθ(s)

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Answer & Solution

Answer: Option D

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90

The frequency at which the magnitude of Bode plot crosses 0 dB axis is known as

A) Natural frequency B) Phase cross-over frequency C) Gain cross-over frequency D) Corner frequency

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Answer & Solution

Answer: Option C

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Control Systems MCQ Questions & Answers | ECE