Control Systems MCQ Questions & Answers

71

The roots of the characteristic equation 1 + G(s) H(s) = 0 are the same as the

A) Poles of the closed loop transfer function B) Poles of the open loop transfer function C) Zeros of the closed loop transfer function D) Zeros of the open loop transfer function

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Answer & Solution

Answer: Option A

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72

System transformation function H(z) for a discrete time LTI system expressed in state variable form with zero initial conditions is

A) c(zI - A)^-1b + d B) c(zI - A)^-1 C) (zI - A)^-1z D) (zI - A)^-1

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Answer & Solution

Answer: Option A

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73

The system matrix of a continuous time system is given by \[A = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 3}&{ - 5} \end{array}} \right].\] Then the characteristic equation is

A) s² + 5s + 3 = 0 B) s² - 3s - 5 = 0 C) s² + 3s + 5 = 0 D) s² + s + 2 = 0

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Answer & Solution

Answer: Option A

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74

If both fast response time and good steady state accuracy are needed . . . . . . . . compensators are used.

A) Fast B) Lead C) Lag D) Lag-lead

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Answer & Solution

Answer: Option D

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75

The open-loop transfer function of a unity feedback control system is $$G\left( s \right) = \frac{1}{{{{\left( {s + 2} \right)}^2}}}$$
The closed loop transfer function poles are located at:

A) -2, -2 B) -2, -1 C) -2, +2 D) -2 ± j1

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Answer & Solution

Answer: Option D

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76

Match List-I with List-II and select the correct answer.

List-I (Functional components)	List-II (Devices)
a. Error detector	1. Three-phase FHP induction motor
b. Servomotor	2. A pair of synchronous transmitter and control transformer
c. Amplifier	3. Tachogenerator
d. Feedback	4. Armature controlled FHP d.c. motor
	5. Amplidyne

A) a-2, b-4, c-1, d-5 B) a-4, b-2, c-5, d-3 C) a-2, b-4, c-5, d-3 D) a-1, b-2, c-3, d-5

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Answer & Solution

Answer: Option C

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77

For continuous-time system, state variable representation is $$\frac{{\text{d}}}{{{\text{dt}}}}$$ q(t) = Aq(t) + bx(t)
What is the corresponding representation for discrete-time system?

A) $$\frac{{\text{d}}}{{{\text{dt}}}}$$ q[n] = Aq[n] + bx[n] B) q[n + 1] = Aq[n] + bx[n] C) q[n] = Aq[n - 1] + bx[n] D) $$\frac{{\text{d}}}{{{\text{dn}}}}$$ [q(n + 1)] = Aq[n - 1] + bx[n - 1]

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Answer & Solution

Answer: Option B

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78

The system matrix of a continuous time system is described in the state variable form is:
\[A = \left[ {\begin{array}{*{20}{c}} x&0&0\\ 0&y&{ - 1}\\ 0&1&{ - 2} \end{array}} \right]\]
The system is stable for all values of x and y satisfying.

A) \[x < \frac{1}{2},\,y < \frac{1}{2}\] B) \[x > \frac{1}{2},\,y > 0\] C) \[x < 0,\,y < 2\] D) \[x < 0,\,y < \frac{1}{2}\]

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Answer & Solution

Answer: Option D

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79

Error constants of system are a measure of

A) Steady-state response B) Transient-state respose C) Relative stability D) Steady-state as well as transient resporise

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Answer & Solution

Answer: Option A

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80

For proper working of a damper, the time constant should be

A) large B) equal to signal time-period C) zero D) less than 5 times the signal time period

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Answer & Solution

Answer: Option A

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Control Systems MCQ Questions & Answers | ECE