Control Systems MCQs with Answers 2027

Q101

Open question

A Tachometer has a sensitivity of 5 V/1000 rpm. The Gain constant of the Tachometer is:

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Q102

Open question

Which one of the following is the most likely reason for large overshoot in a control system?

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Q103

Open question

Given the differential equation model of a physical system, determine the time constant of the system:

40 \frac{d x}{d t} + 2 x = f (t)

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Q104

Open question

The 3-dB bandwidth of a typical second-order system with the transfer function

\frac{C ( s )}{R ( s )} = \frac{ω _{n}^{2}}{s ^{2} + 2 ξ ω _{n} s + ω ^{2}}

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Q105

Open question

What will be the transfer function for the system given by the following differential equation?

\frac{A d ^{2} y}{d t ^{2}} + \frac{B d y}{d t} + C y = P x + Q \frac{d x}{d t}

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Q106

Open question

The range of K for stability of a feedback system whose open-loop transfer function

G (s) = \frac{K}{s ( s + 1 ) ( s + 2 )}

is:

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Q107

Open question

The forward transfer function

G (s) = \frac{20}{( s ^{3} + 2 s ^{2} + 4 s )}

and the feedback gain H(s) = -0.8. Find the closed loop transfer function of the SFG.

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Q108

Open question

The state equation and the output equation of a control system are given below;

\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} { - 4}&{ - 1.5}\\ 4&0 \end{array}} \right]x + \left[ \begin{array}{l} 2\\ 0 \end{array} \right]u\\ y = \left[ {1.5\,\,\,0.625} \right]x \end{array}

The transfer function representation of the system is

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Q109

Open question

Let the state-space representation of an LTI system be

X \cdot

(t) = AX(t) + Bu(t), y(t) = CX(t) + Du(t) where A, B, C are matrices, D is a scalar, u(t) is the input to the system, and y(t) is its output. Let B = [0 0 1]^T and D = 0. Which one of the following options for A and C will ensure that the transfer function of this LTI system is

H (s) = \frac{1}{s ^{3} + 3 s ^{2} + 2 s + 1}

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Q110

Open question

X (s) = 1 - \frac{( \frac{4}{3} )}{1 + s} + \frac{( \frac{1}{3} )}{s - 2}

find no of finite pole and zero . . . . . . . .

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Q111

Open question

There are 2 systems:
1. An automatic washing machine
2. An automatic intensity adjustable light bulb
Which of these systems will be more sensitive to the variation in system's gain?

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Q112

Open question

Find the overall transfer function for the following system
Control Systems mcq question image

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Q113

Open question

The transfer function of a phase lead network, as shown in the figure below is

\frac{K ( 1 + 0.3 s )}{( 1 + 0.17 s )}

The values of R₁ and R₂ are respectively
Control Systems mcq question image

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Q114

Open question

A typical control system is shown in the figure. Assuming

R (s) = \frac{1}{s}

the steady-state error is given by,

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Q115

Open question

Find the points at which the root locus crosses the jω axis for the unity feedback system with feed forward transfer function.

G (s) = \frac{K}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 2 s + 5 )}

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Q116

Open question

The characteristic equation of a certain feedback control system is given by s⁴ + 4s³ + 13s² + 36s + k = 0. The range of values of k for which the feedback system is stable, is given by:

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Q117

Open question

The open loop transfer function