Based on the given para, answer the following question.Sensitivity considerations often are important in the design of Control Systems. Because all physical elements have properties that change with environment and age, we cannot always consider the parameters of the Control System to be completely stationary over the entire operating life of the system. For instance, the winding resistance of electric motor changes as the temperature of the motor rises during operation. Control systems with electric components may not operate normally when first turned on because of the still-changing system parameters during warmup. This phenomenon is sometimes called “morning sickness”. Most duplicating machines have a warmup period during which time operation is blocked out when first turn on.Which of the following statements is correct?

Feedback can only decrease the sensitivity of a system

Feedback can only increase the sensitivity of a system

Feedback can increase or decrease the sensitivity of a system

Feedback can only decrease the sensitivity of a system

Feedback never affects the sensitivity of a system

If the input and output of a system is related by the following differential equation, then find its transfer function.\(\frac{{{d^2}y\left( t \right)}}{{dt}} + 3\frac{{dy\left( t \right)}}{{dt}} + 2y\left( t \right) = u\left( t \right) + \frac{{du\left( t \right)}}{{dt}}\)

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

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

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

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

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

An open-loop control system is one in which the control action:

Is independent of the desired output

A servomotor is mainly used for

both velocity and acceleration control

By increasing the gain K of type 1 system, for a step input, the steady state error

remains unaltered at a positive non zero value

Assertion (A): A necessary and sufficient condition for a feedback system to be stable is that all the poles of the system transfer function have negative real parts.Reason (R): To obtain a bounded response, the poles of the closed-loop system must be in the left half portion of the s-plan.

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

Both (A) and (R) are true and (R) is the correct explanation of (A).

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

A quiescent linear time-invariant system subjected to a unit step input u(t) has the response c(t) = te-t, t ≥ 0. Then \(\frac{{C\left( s \right)}}{{R\left( s \right)}}\) would be

\(\frac{1}{{s\left( {s + 1} \right)}}\)

\(\frac{1}{{{{\left( {s + 1} \right)}^2}}}\)

As compared to a closed loop system, an open loop system is

more stable as well as more accurate

less stable as well as less accurate

Consider an LTI system whose response to the input x(t) = [e-t + e-3t] u(t) is y(t) = [2e-t – 2e-4t]. The system’s impulse response will be

\(\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)

\(\frac{3}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)\)

\(\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)

\(\frac{1}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)\)

\(\frac{1}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)

An amplifier with a positive feedback circuit causes ____

gain of an amplifier to stabilize

Consider a unit delay element:Determine whether the system is memory less, causal and linear.

Not memoryless, causal and non-linear

Not memoryless, non-causal and non-linear

Not memoryless, causal and linear

Not memoryless, causal and non-linear

In a closed-loop control system

control action is independent of output

control action is dependent on output

Directions: It consists of two statements, one labelled as the ‘Statement (I)’ and the other as ‘Statement (II)’. Examine these two statements carefully and select the answers to these items using the codes given below:Statement (I):For radar tracking systems, signals are available in the form of pulse trains.Statement (II):The stability of a discrete-time system is decreased as the sampling period is shortened.

Statement (I) is false but Statement (II) is true

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

Statement (I) is true but Statement (II) is false

Statement (I) is false but Statement (II) is true

If the unit step response of a network is \(\left( {1 - {e^{ - \alpha t}}} \right)\), then its unit impulse response will be

\(\alpha {e^{ - \frac{1}{\alpha }t}}\)

\(\frac{1}{\alpha }{e^{ - \alpha t}}\)

\(\left( {1 - \alpha } \right){e^{ - \alpha t}}\)

646 + Mcqs in Control Systems Page 2 McqOptions

51.	Let the impulse response of an LTI system be h(t) = e-tu(t). Find the output y(T) if the input is x(t) = u(t)
A.	y(t) = e-tu(t)
B.	y(t) = etu(t)
C.	y(t) = (1-et)u(t)
D.	y(t) = (1 – e-t)u(t)
Answer» E.

Discussion

52.	Based on the given para, answer the following question.Sensitivity considerations often are important in the design of Control Systems. Because all physical elements have properties that change with environment and age, we cannot always consider the parameters of the Control System to be completely stationary over the entire operating life of the system. For instance, the winding resistance of electric motor changes as the temperature of the motor rises during operation. Control systems with electric components may not operate normally when first turned on because of the still-changing system parameters during warmup. This phenomenon is sometimes called “morning sickness”. Most duplicating machines have a warmup period during which time operation is blocked out when first turn on.Which of the following statements is correct?
A.	Feedback can only increase the sensitivity of a system
B.	Feedback can increase or decrease the sensitivity of a system
C.	Feedback can only decrease the sensitivity of a system
D.	Feedback never affects the sensitivity of a system
Answer» C. Feedback can only decrease the sensitivity of a system

Discussion

53.	Impulse response of an LTI system is h(t) = e-t u(t). Suppose if the input x(t) = u(t), then the output would be:
A.	Y(t) = (1 – 2e-t) u(t)
B.	Y(t) = (1 – e-2t) u(t)
C.	Y(t) = (1 – e-t) u(t)
D.	Y(t) = (1 – 2e-2t) u(t)
Answer» D. Y(t) = (1 – 2e-2t) u(t)

Discussion

54.	If the input and output of a system is related by the following differential equation, then find its transfer function.\(\frac{{{d^2}y\left( t \right)}}{{dt}} + 3\frac{{dy\left( t \right)}}{{dt}} + 2y\left( t \right) = u\left( t \right) + \frac{{du\left( t \right)}}{{dt}}\)
A.	\( TF = \frac{s+1}{{{s^2} + 3s + 2}}\)
B.	\( TF = \frac{1}{{{s^2} + 3s + 2}}\)
C.	\( TF = \frac{s+2}{{{s^2} + 3s + 2}}\)
D.	\( TF = \frac{s-1}{{{s^2} + 3s + 2}}\)
Answer» B. \( TF = \frac{1}{{{s^2} + 3s + 2}}\)

Discussion

55.	Based on the given para, answer the following question.Sensitivity considerations often are important in the design of Control Systems. Because all physical elements have properties that change with environment and age, we cannot always consider the parameters of the Control System to be completely stationary over the entire operating life of the system. For instance, the winding resistance of an electric motor changes as the temperature of the motor rises during operation. Control systems with electric components may not operate normally when first turned on because of the still-changing system parameters during warmup. This phenomenon is sometimes called “morning sickness”. Most duplicating machines have a warmup period during which time operation is blocked out when first turn on.For an open-loop control system, sensitivity of overall transfer function M(s) with respect to forward path transfer function G(s) will be:
A.	1
B.	0
C.	-1
D.	∞
Answer» B. 0

Discussion

56.	An open-loop control system is one in which the control action:
A.	Depends on the input signal
B.	Is independent of the desired output
C.	Depends on system variables
D.	Depends on system size
Answer» C. Depends on system variables

Discussion

57.	Determine the output C in terms of E.
A.	C = G1G2E
B.	C = G1 - G2 E
C.	\(C=\dfrac{G_1}{G_2} E\)
D.	C = G1 + G2 E
Answer» B. C = G1 - G2 E

Discussion

58.	Consider a linear time-invariant system whose input r(t) and output y(t) are related by the following differential equation:\(\frac{{{d^2}y\left( t \right)}}{{d{t^2}}} + 4y\left( t \right) = 6r\left( t \right)\)The poles of this system are at
A.	+2j, -2j
B.	+2, -2
C.	+4, -4
D.	+4j, -4j
Answer» B. +2, -2

Discussion

59.	A cybernetic control system that acts to reduce deviations from standard is called
A.	a negative feedback loop
B.	a positive feedback loop
C.	a closed loop
D.	an open loop
Answer» B. a positive feedback loop

Discussion

60.	A servomotor is mainly used for
A.	position control
B.	velocity control
C.	acceleration control
D.	both velocity and acceleration control
Answer» B. velocity control

Discussion

61.	A first order linear system is initially relaxed for a unit step signal u(t), the response is v(t) = (1 – e-3t), for t > 0. If a signal 3u(t) + δ(t) is applied to the same system, the response is
A.	(3 – 6e-3t) u(t)
B.	(3 – 3e-3t) u(t)
C.	3u(t)
D.	(3 + 3e3t) u(t)
Answer» D. (3 + 3e3t) u(t)

Discussion

62.	Let a causal LTI system be characterized by the following differential equation, with initial rest condition\(\frac{{{d^2}y}}{{d{t^2}}} + 7\frac{{dy}}{{dt}} + 10y\left( t \right) = 4x\left( t \right) + 5\frac{{dx\left( t \right)}}{{dt}}\)where x(t) and y(t) are the input and output respectively. The impulse response of the system is (u(t) is the unit step function)
A.	2e-2tu(t) – 7 e-5tu(t)
B.	–2e-2tu(t) + 7 e-5tu(t)
C.	7e-2tu(t) – 2 e-5tu(t)
D.	–7e-2tu(t) + 2 e-5tu(t)
Answer» C. 7e-2tu(t) – 2 e-5tu(t)

Discussion

63.	In the force-voltage analogy, voltage V corresponds to:
A.	Damper
B.	Displacement
C.	Spring Constant
D.	Torque
Answer» E.

Discussion

64.	For a given differential equation, \(\frac{{{d^2}y\left( t \right)}}{{d{t^2}}} + 4\frac{{dyt)}}{{dt}} + 5y\left( t \right) = 5x\left( t \right)\) with \(y\left( {{0^ - }} \right) = 1\;and\;{\left. {\frac{{dy\left( t \right)}}{{dt}}} \right\|_{{0^ - }}} = 2\) and input x(t) = u(t). The output y(t) will be
A.	2u(t) – 2e-2t sin t
B.	u(t) + 2e-2t sin t
C.	u(t) – e-t sin t
D.	2u(t) + e-t sin t
Answer» C. u(t) – e-t sin t

Discussion

65.	A system has the transfer function \(\frac{1-s}{1+s}\). It is a
A.	non-minimum phase system
B.	minimum phase system
C.	low pass system
D.	second order system
Answer» B. minimum phase system

Discussion

66.	In an automobile driving system, function of actuator is being performed by
A.	accelerator only
B.	brakes only
C.	both accelerator and brakes
D.	wheels only
Answer» D. wheels only

Discussion

67.	In a positive feedback control system, the feedback signal is ______ with respect to the input signal.
A.	out of phase
B.	lagging by 90°
C.	in phase
D.	leading by 90°
Answer» D. leading by 90°

Discussion

68.	By increasing the gain K of type 1 system, for a step input, the steady state error
A.	increases
B.	decreases
C.	remains unaltered at a positive non zero value
D.	remains zero
Answer» E.

Discussion

69.	Any signal that tends to affect the controlled variable other than the reference command signal is termed as:
A.	Disturbance signal
B.	Control signal
C.	Command signal
D.	Reference Input signal
Answer» B. Control signal

Discussion

70.	Assertion (A): A necessary and sufficient condition for a feedback system to be stable is that all the poles of the system transfer function have negative real parts.Reason (R): To obtain a bounded response, the poles of the closed-loop system must be in the left half portion of the s-plan.
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 the correct explanation of (A)
C.	(A) is true, but (R) is false
D.	(A) false, but (R) is true
Answer» B. Both (A) and (R) are true, but (R) is not the correct explanation of (A)

Discussion

71.	If \(G\left( s \right) = \frac{5}{s}\) and \(H\left( s \right) = \frac{1}{s}\), then this is:
A.	Type 0 system
B.	Type 3 system
C.	Type 2 system
D.	Type 1 system
Answer» D. Type 1 system

Discussion

72.	In a cascade control system, the closed loop transfer function of the inner loop may be assumed to have a single time-constant τ1. Similarly, the closed loop transfer function of the outer loop may be assumed to have a single time-constant τ2. The desired relationship between τ1 and τ2 in a well-designed control system is
A.	τ1 is much less than τ2
B.	τ1 is equal to τ2
C.	τ1 is much greater than τ2
D.	τ1 is independent of τ2
Answer» B. τ1 is equal to τ2

Discussion

73.	In a transfer function, the frequencies for which the value of denominator becomes zero are called
A.	Poles
B.	Zeros
C.	Roots
D.	Solutions
Answer» B. Zeros

Discussion

74.	Identify the stable system from the following systems with their characteristics equation:
A.	s + 1 = 0
B.	s - 1 =0
C.	2s2 - 10 = 0
D.	4s2 + 10 =0
Answer» B. s - 1 =0

Discussion

75.	For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as\({\rm{G}}\left( {\rm{s}} \right) = \frac{2}{{{\rm{s}}\left( {{\rm{s}} + 1} \right)}}\)The steady-state error ess due to a unit step input is
A.	0
B.	0.5
C.	1
D.	∞
Answer» B. 0.5

Discussion

76.	A quiescent linear time-invariant system subjected to a unit step input u(t) has the response c(t) = te-t, t ≥ 0. Then \(\frac{{C\left( s \right)}}{{R\left( s \right)}}\) would be
A.	\(\frac{1}{{s\left( {s + 1} \right)}}\)
B.	\(\frac{1}{{s + 1}}\)
C.	\(\frac{1}{{{{\left( {s + 1} \right)}^2}}}\)
D.	None of the above
Answer» E.

Discussion

77.	In an automobile driving system, eyes of the driver act as
A.	error detector
B.	summing block
C.	visual link to feedback loop
D.	feedback gain
Answer» D. feedback gain

Discussion

78.	Poles are the complex frequencies of a transfer function where the response becomes
A.	infinite
B.	zero
C.	oscillatory
D.	decaying
Answer» B. zero

Discussion

79.	A system with transfer function \(\frac{{Y\left( s \right)}}{{X\left( s \right)}} = \frac{s}{{s + p}}\) has an output \(y\left( t \right) = cos\left( {2t - \frac{\pi }{3}} \right)\)for the input signal \(x\left( t \right) = p\cos \left( {2t - \frac{\pi }{2}} \right)\). Then, the system parameter p is
A.	√3
B.	2 / √3
C.	1
D.	√3 / 2
Answer» C. 1

Discussion

80.	As compared to a closed loop system, an open loop system is
A.	more stable as well as more accurate
B.	less stable as well as less accurate
C.	more stable but less accurate
D.	less stable but more accurate
Answer» D. less stable but more accurate

Discussion

81.	Following statements are given regarding the above passage:a) Automobile driving system is an open-loop control systemb) Automobile driving system is a closed-loop control systemc) Traffic signal system is a closed-loop control systemd) Traffic signal system is an open-loop control systemOut of the above statements, which are correct?
A.	and d) are correct
B.	and c) are correct
C.	and c) are correct
D.	and d) are correct
Answer» E.

Discussion

82.	A Servomechanism is a feedback control system required to control
A.	position
B.	a derivative of position
C.	either (a) or (b) above
D.	none of these
Answer» D. none of these

Discussion

83.	A regulator can be classified as a
A.	type 0 system
B.	type 1 system
C.	type 2 system
D.	type 3 system
Answer» B. type 1 system

Discussion

84.	Consider a system with the closed loop transfer function \(C(S) = \frac{{20\left( {s + 4} \right)}}{{{s^2} + 8s + 15}}\) with input R(s) and output C(s). When all initial conditions are zero and the input is an impulse then the output c(t) is:
A.	e-8t + 10 e-t
B.	10 e-3t - 10 e-5t
C.	10 e-3t + 10 e-5t
D.	20 e-8t + 5 e-15t
Answer» D. 20 e-8t + 5 e-15t

Discussion

85.	Consider the following statements:The output of a linear circuit, driven with a sine wave at a frequency f, is itself a sine wave1. at the same frequency2. with a chance of changed amplitude3. with chances of changed amplitude and phaseWhich of the above statements is/are correct?
A.	1 and 2
B.	1 only
C.	1 and 3
D.	2 only
Answer» D. 2 only

Discussion

86.	Input to a controller is the following signal:
A.	Error signal
B.	Servo signal
C.	Desired Variable value
D.	Sensed signal
Answer» B. Servo signal

Discussion

87.	Out of the following. what happens to the overall gain of the system of a closed loop control system with positive value of feedback gain?
A.	No effect
B.	Increase
C.	Decrease
D.	Increase or Decrease
Answer» C. Decrease

Discussion

88.	If the bandwidth of a control system is increased, the noise in the output of the system due to presence of sensor noise will
A.	increase
B.	decrease
C.	not change
D.	be zero
Answer» B. decrease

Discussion

89.	A function y(t) satisfies the following differential equation:\(\frac{{dy\left( t \right)}}{{dt}} + y\left( t \right) = \delta \left( t \right)\)Where δ(t) is unit impulse function and u(t) is unit step function. Assuming zero initial conditions, what is y(t)?
A.	et
B.	e-t
C.	et u(t)
D.	e-t u(t)
Answer» E.

Discussion

90.	Consider an LTI system whose response to the input x(t) = [e-t + e-3t] u(t) is y(t) = [2e-t – 2e-4t]. The system’s impulse response will be
A.	\(\frac{3}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)\)
B.	\(\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)
C.	\(\frac{1}{2}\left[ {{e^{ - 2t}} + {e^{ - 4t}}} \right]u\left( t \right)\)
D.	\(\frac{1}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)
Answer» B. \(\frac{3}{2}\left[ {{e^{ - 2t}} - {e^{ - 4t}}} \right]u\left( t \right)\)

Discussion

91.	An amplifier with a positive feedback circuit causes ____
A.	bandwidth to stabilize
B.	gain of an amplifier to stabilize
C.	bandwidth to decrease
D.	bandwidth to increase
Answer» D. bandwidth to increase

Discussion

92.	Based on the given para, answer the following question.Sensitivity considerations often are important in the design of Control Systems. Because all physical elements have properties that change with environment and age, we cannot always consider the parameters of the Control System to be completely stationary over the entire operating life of the system. For instance, the winding resistance of an electric motor changes as the temperature of the motor rises during operation. Control systems with electric components may not operate normally when first turned on because of the still-changing system parameters during warmup. This phenomenon is sometimes called “morning sickness”. Most duplicating machines have a warmup period during which time operation is blocked out when first turn on.The sensitivity of the overall (closed-loop) transfer function for the system shown below, with respect to forward path transfer function at ω = 1 rad/sec will be:
A.	0.938
B.	0.583
C.	0.25
D.	0.398
Answer» E.

Discussion

93.	Based on the given para, answer the following question.Sensitivity considerations often are important in the design of Control Systems. Because all physical elements have properties that change with environment and age, we cannot always consider the parameters of the Control System to be completely stationary over the entire operating life of the system. For instance, the winding resistance of an electric motor changes as the temperature of the motor rises during operation. Control systems with electric components may not operate normally when first turned on because of the still-changing system parameters during warmup. This phenomenon is sometimes called “morning sickness”. Most duplicating machines have a warmup period during which time operation is blocked out when first turn on.A good Control System should be:(a) Very sensitive to parameter variations(b) Insensitive to parameter variations(c) Insensitive to input commands(d) Sensitive to input commandsWhich of the above are correct?
A.	(a) and (b)
B.	(b) and (c)
C.	(b) and (d)
D.	(a) and (d)
Answer» D. (a) and (d)

Discussion

94.	A Tachometer has a sensitivity of 5 V/1000 rpm. The Gain constant of the Tachometer is
A.	0.48 V/rad/sec
B.	0.048 V/rad/sec
C.	4.8 V/rad/sec
D.	48 V/rad/sec
Answer» C. 4.8 V/rad/sec

Discussion

95.	Consider a unit delay element:Determine whether the system is memory less, causal and linear.
A.	Memoryless, causal and linear
B.	Not memoryless, non-causal and non-linear
C.	Not memoryless, causal and linear
D.	Not memoryless, causal and non-linear
Answer» D. Not memoryless, causal and non-linear

Discussion

96.	In a closed-loop control system
A.	control action is independent of output
B.	output is independent of input
C.	there is no feedback
D.	control action is dependent on output
Answer» E.

Discussion

97.	Directions: It consists of two statements, one labelled as the ‘Statement (I)’ and the other as ‘Statement (II)’. Examine these two statements carefully and select the answers to these items using the codes given below:Statement (I):For radar tracking systems, signals are available in the form of pulse trains.Statement (II):The stability of a discrete-time system is decreased as the sampling period is shortened.
A.	Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
B.	Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
C.	Statement (I) is true but Statement (II) is false
D.	Statement (I) is false but Statement (II) is true
Answer» D. Statement (I) is false but Statement (II) is true

Discussion

98.	A unity feedback control system has \(G(s) = \frac{K}{{{s^2}\left( {sT + 1} \right)}}\)The order and type of the closed-loop system will be:
A.	3 and 3
B.	2 and 3
C.	1 and 3
D.	3 and 2
Answer» E.

Discussion

99.	For the closed-loop system shown, the transfer function \(\frac{{E(s)}}{{R(s)}}\) is
A.	\(\frac{G}{{1 + GH}}\)
B.	\(\frac{1}{{1 + GH}}\)
C.	\(\frac{1}{{1 + G}}\)
D.	\(\frac{GH}{{1 + GH}}\)
Answer» C. \(\frac{1}{{1 + G}}\)

Discussion

100.	If the unit step response of a network is \(\left( {1 - {e^{ - \alpha t}}} \right)\), then its unit impulse response will be
A.	\(\alpha {e^{ - \alpha t}}\)
B.	\(\alpha {e^{ - \frac{1}{\alpha }t}}\)
C.	\(\frac{1}{\alpha }{e^{ - \alpha t}}\)
D.	\(\left( {1 - \alpha } \right){e^{ - \alpha t}}\)
Answer» B. \(\alpha {e^{ - \frac{1}{\alpha }t}}\)

Discussion

Explore topic-wise MCQs in ENGINEERING SERVICES EXAMINATION (ESE).

Let the impulse response of an LTI system be h(t) = e-tu(t). Find the output y(T) if the input is x(t) = u(t)

Impulse response of an LTI system is h(t) = e-t u(t). Suppose if the input x(t) = u(t), then the output would be:

If the input and output of a system is related by the following differential equation, then find its transfer function.\(\frac{{{d^2}y\left( t \right)}}{{dt}} + 3\frac{{dy\left( t \right)}}{{dt}} + 2y\left( t \right) = u\left( t \right) + \frac{{du\left( t \right)}}{{dt}}\)

An open-loop control system is one in which the control action:

Determine the output C in terms of E.

Consider a linear time-invariant system whose input r(t) and output y(t) are related by the following differential equation:\(\frac{{{d^2}y\left( t \right)}}{{d{t^2}}} + 4y\left( t \right) = 6r\left( t \right)\)The poles of this system are at

A cybernetic control system that acts to reduce deviations from standard is called

A servomotor is mainly used for

A first order linear system is initially relaxed for a unit step signal u(t), the response is v(t) = (1 – e-3t), for t > 0. If a signal 3u(t) + δ(t) is applied to the same system, the response is

In the force-voltage analogy, voltage V corresponds to:

A system has the transfer function \(\frac{1-s}{1+s}\). It is a

In an automobile driving system, function of actuator is being performed by

In a positive feedback control system, the feedback signal is ______ with respect to the input signal.

By increasing the gain K of type 1 system, for a step input, the steady state error

Any signal that tends to affect the controlled variable other than the reference command signal is termed as:

Assertion (A): A necessary and sufficient condition for a feedback system to be stable is that all the poles of the system transfer function have negative real parts.Reason (R): To obtain a bounded response, the poles of the closed-loop system must be in the left half portion of the s-plan.

If \(G\left( s \right) = \frac{5}{s}\) and \(H\left( s \right) = \frac{1}{s}\), then this is:

In a transfer function, the frequencies for which the value of denominator becomes zero are called

Identify the stable system from the following systems with their characteristics equation:

For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as\({\rm{G}}\left( {\rm{s}} \right) = \frac{2}{{{\rm{s}}\left( {{\rm{s}} + 1} \right)}}\)The steady-state error ess due to a unit step input is

A quiescent linear time-invariant system subjected to a unit step input u(t) has the response c(t) = te-t, t ≥ 0. Then \(\frac{{C\left( s \right)}}{{R\left( s \right)}}\) would be

In an automobile driving system, eyes of the driver act as

Poles are the complex frequencies of a transfer function where the response becomes

As compared to a closed loop system, an open loop system is

A Servomechanism is a feedback control system required to control

A regulator can be classified as a

Consider a system with the closed loop transfer function \(C(S) = \frac{{20\left( {s + 4} \right)}}{{{s^2} + 8s + 15}}\) with input R(s) and output C(s). When all initial conditions are zero and the input is an impulse then the output c(t) is:

Consider the following statements:The output of a linear circuit, driven with a sine wave at a frequency f, is itself a sine wave1. at the same frequency2. with a chance of changed amplitude3. with chances of changed amplitude and phaseWhich of the above statements is/are correct?

Input to a controller is the following signal:

Out of the following. what happens to the overall gain of the system of a closed loop control system with positive value of feedback gain?

If the bandwidth of a control system is increased, the noise in the output of the system due to presence of sensor noise will

A function y(t) satisfies the following differential equation:\(\frac{{dy\left( t \right)}}{{dt}} + y\left( t \right) = \delta \left( t \right)\)Where δ(t) is unit impulse function and u(t) is unit step function. Assuming zero initial conditions, what is y(t)?

Consider an LTI system whose response to the input x(t) = [e-t + e-3t] u(t) is y(t) = [2e-t – 2e-4t]. The system’s impulse response will be

An amplifier with a positive feedback circuit causes ____

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

Consider a unit delay element:Determine whether the system is memory less, causal and linear.

In a closed-loop control system

A unity feedback control system has \(G(s) = \frac{K}{{{s^2}\left( {sT + 1} \right)}}\)The order and type of the closed-loop system will be:

For the closed-loop system shown, the transfer function \(\frac{{E(s)}}{{R(s)}}\) is

If the unit step response of a network is \(\left( {1 - {e^{ - \alpha t}}} \right)\), then its unit impulse response will be