Control Systems MCQ Questions & Answers

51

Which of the following can work as error detecting devices?
1. A pair of potentiometers
2. A pair of synchros
3. A differential transformer
4. A Metadyne
5. A control transformer

A) 1, 2 and 5 B) 2, 3, 4 and 5 C) 1, 3, 4 and 5 D) 1, 2, 3 and 4

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Answer & Solution

Answer: Option A

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52

Consider the speed control system shown in the figure wherein the inner loop corresponds to motor back e.m.f, the controller is an integrator with gain K observes that the load is inertia only. What is the value of K for which steady-state error to unit ramp input $$\left( {{V_r}\left( s \right) = \frac{1}{{{s^2}}}} \right)$$ is less than 0.01 rad/sec?
Control Systems mcq question image

A) 5 B) 7 C) 10 D) 14

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Answer & Solution

Answer: Option D

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53

The root locus of the system $$G\left( s \right)H\left( s \right) = \frac{K}{{s\left( {s + 2} \right)\left( {s + 3} \right)}},$$ has the break-away point located at

A) (-0.5, 0) B) (-2.548, 0) C) (-4, 0) D) (-0.784, 0)

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Answer & Solution

Answer: Option D

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54

The closed loop transfer function of a control system is: $$\frac{K}{{s\left( {s + 1} \right)\left( {s + 5} \right) + K}}$$
What is the frequency of the sustained oscillations for marginally stable condition?

A) $$\sqrt 5 $$ rad/s B) $$\sqrt 6 $$ rad/s C) 5 rad/s D) 6 rad/s

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Answer & Solution

Answer: Option A

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55

Of the following transfer function second order linear time-invariant systems, the underdamped system is represented by

A) $$H\left( s \right) = \frac{1}{{{s^2} + 4s + 4}}$$ B) $$H\left( s \right) = \frac{1}{{{s^2} + 5s + 4}}$$ C) $$H\left( s \right) = \frac{1}{{{s^2} + 4.5s + 4}}$$ D) $$H\left( s \right) = \frac{1}{{{s^2} + 3s + 4}}$$

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Answer & Solution

Answer: Option D

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56

The current through a circuit element is $$\frac{{4{s^2}}}{{s + 7}}.$$ The current in t domain at t → ∞ and t → 0 will be respectively:

A) Zero and One B) Zero and Infinity C) Infinity and Zero D) Infinity and One

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Answer & Solution

Answer: Option B

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57

If a system is critically damped and gain is increased, the system

A) becomes overdamped B) becomes underdamped C) becomes oscillatory D) remains critically underdamped

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Answer & Solution

Answer: Option B

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58

A second-order linear time-invariant system is described by the following state equations
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x₁(t) + 2x₁(t) = 3u(t)
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x₂(t) + x₂(t) = u(t)
where x₁(t) and x₂(t) are the two state variables and u(t) denotes the input. If the output c(t) = x₁(t) , then the system is

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

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Answer & Solution

Answer: Option A

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59

In feedback control system with $$G\left( s \right) = \frac{{16}}{{s\left( {s + 4} \right)}}$$ and H(s) = 1 + Ks, the damping ratio of 0.6 will be achieved for K equal to

A) 0.1 B) 0.02 C) 0.025 D) 0.05

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Answer & Solution

Answer: Option D

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60

Which one of the following characteristic equation of result in the stable operation of the feedback system?

A) s³ + 4s² + s - 6 = 0 B) s³ + s² + 5s + 6 = 0 C) s³ + 4s² + 10s + 11 = 0 D) s⁴ + s³ + 2s² + 4s + 6 = 0

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Answer & Solution

Answer: Option C

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Control Systems MCQ Questions & Answers | ECE