Explore topic-wise MCQs in Control Systems.

This section includes 108 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.

51.

The constant M-circle represented by the equation x^2+2.25x+y^2=-1.25 has the value of M equal to:

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
52.

Assertion (A): Relative stability of the system reduces due to the presence of transportation lag.Reason (R): Transportation lag can be conveniently handled by Bode plot.

A. Both A and R are true but R is correct explanation of A
B. Both A and R are true but R is correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» C. A is true but R is false
53.

The forward path transfer function of a unity feedback system is given by G(s) = 100/(s2+10s+100). The frequency response of this system will exhibit the resonance peak at:

A. 10 rad/sec
B. 8.66 rad/sec
C. 7.07 rad/sec
D. 5rad/sec
Answer» D. 5rad/sec
54.

The gain margin (in dB) of a system having the loop transfer functionG(s) H(s) = 2 / s(s+1) is

A. 0
B. 3
C. 6
D. 8
Answer» E.
55.

Which one of the following statements is correct?Nichol's chart is useful for the detailed study of:

A. Closed loop frequency response
B. Open loop frequency response
C. Close loop and open loop frequency responses
D. None of the mentioned
Answer» B. Open loop frequency response
56.

The unit circle of the Nyquist plot transforms into 0dB line of the amplitude plot of the Bode diagram at

A. 0 frequency
B. Low frequency
C. High frequency
D. Any frequency
Answer» E.
57.

Consider the following statements:The gain margin and phase margin of an unstable system may respectively be1. Positive, positive2. Positive, negative3. Negative, positive4. Negative, negativeOf these statements

A. 1 and 4 are correct
B. 1 and 2 are correct
C. 1, 2 and 3 are correct
D. 2,3 and 4 are correct
Answer» E.
58.

If the system matrix of a linear time invariant continuous system is given byIts characteristic equation is given by:

A. s2+5s+3=0
B. s2-3s-5=0
C. s2+3s+5=0
D. s2+s+2=0
Answer» B. s2-3s-5=0
59.

The corner frequencies are

A. 0 and 1
B. 0 and 2
C. 0 and 1
D. 1 and 2
Answer» E.
60.

The open loop transfer function of a system is :G(s) H(s) =K/ (1+s) (1+2s) (1+3s)The phase crossover frequency wpc is:

A. √2
B. 1
C. Zero
D. √3
Answer» C. Zero
61.

A control system whose step response is -0.5(1+e-2t) is cascaded to another control block whose impulse response is e-t. What is the transfer function of the cascaded combination?

A. 1/(s+2)(s+1)
B. 1/(s+1)s
C. 1/(s+3)
D. 0.5/(s+1)(s+2)
Answer» B. 1/(s+1)s
62.

Signal flow graphs:

A. They apply to linear systems
B. The equation obtained may or may not be in the form of cause or effect
C. Arrows are not important in the graph
D. They cannot be converted back to block diagram
Answer» B. The equation obtained may or may not be in the form of cause or effect
63.

Gear train in the motor is used to reduce the gear ratio?

A. True
B. False
Answer» C.
64.

The advantage of block diagram representation is that it is possible to evaluate the contribution of each component to the overall performance of the system.

A. True
B. False
Answer» B. False
65.

Tachometer feedback in a D.C. position control system enhances stability?

A. True
B. False
Answer» B. False
66.

A synchro Transmitter is used with control transformer for:

A. Feedback
B. Amplification
C. Error detection
D. Remote sensing
Answer» D. Remote sensing
67.

Assertion (A): Servomotors have heavier rotors and lower R/X ratio as compared to ordinary motors of similar ratings.Reason (R): Servomotor should have smaller electrical and mechanical time constants for faster response.

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» E.
68.

Which of the following is an example of an open loop system?

A. Household Refrigerator
B. Respiratory system of an animal
C. Stabilization of air pressure entering into the mask
D. Execution of program by computer
Answer» E.
69.

A linear system at rest is subject to an input signal r(t)=1-e-t. The response of the system for t>0 is given by c(t)=1-e-2t. The transfer function of the system is:

A. (s+2)/(s+1)
B. (s+1)/(s+2)
C. 2(s+1)/(s+2)
D. (s+1)/2(s+2)
Answer» D. (s+1)/2(s+2)
70.

The output of an first order hold between two consecutive sampling instants is:

A. Constant
B. Quadratic Function
C. Ramp Function
D. Exponential Function
Answer» D. Exponential Function
71.

For a tachometer, if a(t) is the rotor displacement, e(t) is the output voltage and K is the tachometer constant, then the transfer function is given by:

A. Ks2
B. K/s
C. Ks
D. K
Answer» D. K
72.

The relationship between an input and output variable of a signal flow graph is given by the net gain between the input and output node is known as the overall______________

A. Overall gain of the system
B. Stability
C. Bandwidth
D. Speed
Answer» B. Stability
73.

Assertion (A): DC servomotors are more commonly used in armature controlled mode than field controlled mode.Reason (R): Armature controlled Dc motors have higher starting torque than fiels controlled motors.

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» B. Both A and R are true but R is not correct explanation of A
74.

The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L is

A. π/20
B. π/10
C. -π/20
D. Zero
Answer» C. -π/20
75.

Nichol's chart:

A. Constant gain and constant phase shift loci of the closed-loop system.
B. Plot of loop gain with the variation in frequency
C. Circles of constant gain for the closed loop transfer function
D. Circles of constant phase shift for the closed loop transfer function
Answer» C. Circles of constant gain for the closed loop transfer function
76.

The equation 2s4+s3+3s2+5s+10=0 has roots in the left half of s-plane:

A. One
B. Two
C. Three
D. Four
Answer» C. Three
77.

The open loop transfer function of a system is G(s) H(s)= K / (1+s)(1+2s)(1+3s)The phase cross over frequency ωc is

A. V2
B. 1
C. Zero
D. V3
Answer» C. Zero
78.

All pass system and minimum phase system constitute_________________

A. Pole must lie on left plane
B. Minimum phase system
C. Non-minimum phase system
D. Both must lie on right plane
Answer» D. Both must lie on right plane
79.

If a system has an open loop transfer function1-s / 1+s, then the gain of the system at frequency of 1 rad/s will be

A. 1
B. 1/2
C. Zero
D. -1
Answer» E.
80.

Consider the following statements:1. The effect of feedback is to reduce the system error2. Feedback increases the gain of the system in one frequency range but decreases in another3. Feedback can cause a system that is originally stable to become unstableWhich of these statements are correct.

A. 1,2 and 3
B. 1 and 2
C. 2 and 3
D. 1 and 3
Answer» D. 1 and 3
81.

The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?

A. -π rad
B. 0 rad
C. π/2 rad
D. π rad
Answer» E.
82.

The frequency at which the Nyquist diagram cuts the unit circle is known as:

A. Gain crossover frequency
B. Phase crossover frequency
C. Damping frequency
D. Corner frequency
Answer» B. Phase crossover frequency
83.

The polar plot of the open loop transfer function of a feedback control system intersects the real axis at -2. The gain margin of the system is

A. -5dB
B. 0dB
C. -6dB
D. 40dB
Answer» D. 40dB
84.

Consider the function F (s) =5/s (s2+s+2) , where F (s) is the Laplace transform f (t). Then the final value theorem is equal to

A. 5
B. 5/2
C. Zero
D. Infinity
Answer» C. Zero
85.

Backlash in a stable control system may cause:

A. Under damping
B. Over damping
C. High level oscillations
D. Low level oscillations
Answer» E.
86.

Oscillations in output response is due to :

A. Positive feedback
B. Negative feedback
C. No feedback
D. None of the mentioned
Answer» B. Negative feedback
87.

In case of DC servomotor, the back emf is equivalent to an 'electric friction' which tends to:

A. Slowly decrease the stability of the system
B. Improve stability of the system
C. Very rapidly decrease the stability of the system
D. Have no effect of stability
Answer» C. Very rapidly decrease the stability of the system
88.

Transfer function of the system is defined as the ratio of Laplace output to Laplace input considering initial conditions________

A. 1
B. 2
C. 0
D. infinite
Answer» D. infinite
89.

Signal flow graphs are reliable to find transfer function than block diagram reduction technique.

A. True
B. False
Answer» B. False
90.

A gantry robot consists of a manipulator mounted on an overhead system that allows movement only in ________ plane.

A. Horizontal
B. Inclined
C. Vertical
D. None of the mentioned
Answer» B. Inclined
91.

The overall transfer function from block diagram reduction for cascaded blocks is :

A. Sum of individual gain
B. Product of individual gain
C. Difference of individual gain
D. Division of individual gain
Answer» C. Difference of individual gain
92.

A tachometer is added to servomechanism because:

A. It is easily adjustable
B. It can adjust damping
C. It reduces steady state error
D. It converts velocity of the shaft to a proportional Dc voltage
Answer» C. It reduces steady state error
93.

Constant M- loci:

A. Constant gain and constant phase shift loci of the closed-loop system.
B. Plot of loop gain with the variation in frequency
C. Circles of constant gain for the closed loop transfer function
D. Circles of constant phase shift for the closed loop transfer function
Answer» E.
94.

In a feedback control system, phase margin(PM) is1. Directly proportional to G2. Inversely proportional to G3. Independent of G4. Zero when G =0Which of the above statements are correct?

A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
Answer» E.
95.

The impulse response of a LTI system is a unit step function, then the corresponding transfer function is

A. 1/s
B. 1/s2
C. 1
D. s
Answer» B. 1/s2
96.

A system with gain margin close to unity and phase margin close to zero is :

A. Highly stable
B. Oscillatory
C. Relatively stable
D. Unstable
Answer» D. Unstable
97.

Nichol's chart is useful for the detailed study and analysis of:

A. Closed loop frequency response
B. Open loop frequency response
C. Close loop and open loop frequency responses
D. open loop and Close loop frequency responses
Answer» B. Open loop frequency response
98.

Frequency range of bode magnitude and phases are decided by :

A. The lowest and higher important frequencies of dominant factors of the OLTF
B. The lowest and highest important frequencies of all the factors of the open loop transfer function
C. Resonant frequencies of the second factors
D. None of the above
Answer» E.
99.

The gain margin in dBs of a unity feedback control system whose open loop transfer function, G(s) H(s) =1/s(s+1) is

A. 0
B. 1
C. -1
D.
Answer» E.
100.

The LVDT is used in the measurement of:

A. Displacement
B. Acceleration
C. Velocity
D. Humidity
Answer» B. Acceleration