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

1.

PI controller:(a) Decreases steady state error and improves stability(b) Rise time decreases(c) Transient response becomes poorer(d) Increases steady state errorThis question was addressed to me in semester exam.I would like to ask this question from Cascade Compensation in Time Domain topic in section Design of Control Systems

Answer»

Correct option is (C) Transient response BECOMES poorer

For explanation: In Proportional and Integral controller which is the EXTENSION of the integral controller which improves the steady STATE response but transient response becomes poorer.

2.

Operations performed by electronic controllers:(a) Flexible operations(b) High torque high speed operations(c) Fire and explosion proof operation(d) All of the mentionedI have been asked this question in my homework.Enquiry is from Realization of Basic Compensators in chapter Design of Control Systems

Answer»

The correct ANSWER is (a) Flexible operations

For EXPLANATION: ELECTRONIC controllers are the most flexible controller and used over hydraulic and pneumatic controllers and they use the CONTROL action where the control is mainly handled by electronic components and can perform flexible operations as of high speed and high torque.

3.

A proportional controller leads to:(a) Zero steady state error for step input for type 1 system(b) Zero steady state error for step input for type 0 system(c) Infinite steady state error for step input for a type 1 system(d) Finite steady state error for step input for type 1 systemThe question was posed to me by my school teacher while I was bunking the class.I'd like to ask this question from Cascade Compensation in Time Domain in section Design of Control Systems

Answer» RIGHT OPTION is (a) Zero STEADY state error for step INPUT for type 1 system

To explain I would SAY: A proportional controller is the controller block used in the system so as to follow the output and leads to zero steady state error for step input for type 1 system.
4.

What is the value of steady state error in closed loop control systems?(a) Zero(b) Unity(c) Infinity(d) UnpredictableI had been asked this question by my school principal while I was bunking the class.This intriguing question originated from The Design Problem topic in chapter Design of Control Systems

Answer»

The CORRECT option is (a) Zero

The explanation is: Steady state error is the error which is the difference in the final OUTPUT to the desired output and the VALUE of steady state error for the good control system must be zero.

5.

Which of the following are the not characteristics of the closed loop systems?(a) It does not compensate for disturbance(b) It reduces the sensitivity of plant-parameter variations(c) It does not involve output measurements(d) It does not has the ability to control the system transient responseThis question was posed to me by my college director while I was bunking the class.The query is from Feedback Compensation in portion Design of Control Systems

Answer»

The correct answer is (d) It does not has the ABILITY to control the SYSTEM transient response

The BEST explanation: Feedback refers to the comparison of the FINAL output to the desired output at respective input so as to get accurate and error free result and in the system improves the transient response of the system.

6.

Derivative error compensation:(a) Improvement in transient response(b) Reduction in steady state error(c) Reduction is settling time(d) Increase in damping constantI got this question during an interview.The origin of the question is Tuning of PID Controllers topic in chapter Design of Control Systems

Answer»

Correct CHOICE is (d) Increase in damping CONSTANT

Best explanation: Damping constant reduces the gain, as it is INVERSELY proportional to the gain and as INCREASING the damping gain reduces and hence the SPEED of response and bandwidth are both increased.

7.

Response to error is very fast for integral controller.(a) True(b) FalseThe question was asked in an online interview.Asked question is from Cascade Compensation in Frequency Domain topic in division Design of Control Systems

Answer»

Right ANSWER is (b) False

The explanation: Integral CONTROLLER is used to reduce or eliminate the error of the CONTROL system and for derivative controller the damping factor is increased and SPEED of response also increases.

8.

A phase lead compensation leads to:(a) Increase in overshoot(b) Reduction in bandwidth of closed loop system(c) Reduction in rise time of closed loop system(d) Reduction in gain marginI have been asked this question in semester exam.Enquiry is from Cascade Compensation in Frequency Domain in section Design of Control Systems

Answer»

The correct choice is (c) Reduction in rise TIME of closed loop system

Easy explanation: Phase lead compensation and this is similar to the high pass FILTER results in INCREASE in bandwidth reduction in SETTLING time and thus, SPEED of response is improved.

9.

An all-pass network imparts only(a) Negative phase to the input(b) Positive phase to the input(c) 90 degree phase shift to the input(d) 180 degree phase shift to the inputThe question was asked in unit test.The above asked question is from Cascade Compensation in Time Domain topic in chapter Design of Control Systems

Answer»

The CORRECT choice is (d) 180 degree phase shift to the input

The EXPLANATION is: An all-pass network is the network that is the combination of the minimum and non-minimum phase SYSTEMS and have the magnitude 1 for all frequencies and imparts only 180 degree phase shift.

10.

Transient response measure is usually specified in terms of :(a) Error constants(b) Damping factor(c) Speed of response(d) Both b and cI had been asked this question during an internship interview.Query is from Preliminary Considerations of Classical Design topic in portion Design of Control Systems

Answer»

The correct answer is (d) Both b and c

Easiest explanation: Transient response is the response taken at any PARTICULAR TIME during analysis and that is mainly specified in TERMS of damping factor and speed of response that is mainly settling time and RISE time.

11.

Which system exhibits the initiation of corrective action only after the output gets affected?(a) Feed forward(b) Feedback(c) Both a and b(d) None of the mentionedThe question was asked in an interview for job.The above asked question is from The Design Problem in portion Design of Control Systems

Answer» CORRECT answer is (b) Feedback

The best I can explain: Feedback is the PROCESS in which the OUTPUT of the SYSTEM is desired by comparing the output with the input and with the feedback system EXHIBITS the initiation of corrective action only after the output gets affected.
12.

Determine the sensitivity of the overall transfer function for the system shown in the figure below, at w=1 rad/sec with respect to the feedback path transfer function.(a) 1.11(b) -1.11(c) 2.22(d) -2.22This question was posed to me in an internship interview.This question is from Feedback Compensation in section Design of Control Systems

Answer»

Right CHOICE is (b) -1.11

The BEST EXPLANATION: S= -G(s)H(s)/1+G(s)H(s)-1.1.

13.

Open loop system is ___________ stable than closed loop system(a) More(b) Less(c) Inclined(d) ExponentialThe question was posed to me in exam.Asked question is from Feedback Compensation topic in chapter Design of Control Systems

Answer»

Correct CHOICE is (a) More

To explain I would say: Open loop system always follows the input but closed loop system always reduces the ERROR IRRESPECTIVE of the input APPLIED.

14.

Which one of the following effect in the system is not caused by negative feedback?(a) Reduction in gain(b) Increased in bandwidth(c) Increase in distortion(d) Reduction in output impedanceThe question was posed to me in an internship interview.My doubt stems from Feedback Compensation in division Design of Control Systems

Answer»

The correct option is (C) Increase in distortion

The explanation is: Distortion refers to the ERROR in the OPEN loop system and it has many OSCILLATIONS in the output ANDIS reduced in case of negative feedback.

15.

Lead compensation leads to:(a) Increases bandwidth(b) Attenuation(c) Increases damping factor(d) Second orderThis question was posed to me in an interview for internship.My question is taken from Tuning of PID Controllers topic in portion Design of Control Systems

Answer»

The CORRECT CHOICE is (a) Increases bandwidth

The EXPLANATION is: High pass filter is similar to the phase lead compensation and leads to increase in bandwidth and also increase in speed of RESPONSE.

16.

The transfer function of the compensator is s+4/s+16. The maximum phase lead frequency and the corresponding phase is :(a) 6 rad/sec, 36.87°(b) 8 rad/sec, 36.87°(c) 6 rad/sec, -36.87°(d) 8 rad/sec, -36.87°The question was posed to me by my school principal while I was bunking the class.The above asked question is from Cascade Compensation in Frequency Domain in section Design of Control Systems

Answer»

The correct CHOICE is (b) 8 rad/sec, 36.87°

Explanation: PHASE lead FREQUENCY is calculated when magnitude of transfer function is 1 and this is the phase cross over frequency and the phase is calculated by using the tanget FORMULA with the transfer function.

17.

PD controller is used to compensate a system, Compared to the uncompensated system, the compensated system has:(a) A higher type number(b) Reduced damping(c) Higher noise amplification(d) Large transient overshootI got this question by my school teacher while I was bunking the class.The question is from Cascade Compensation in Time Domain in portion Design of Control Systems

Answer»

Right CHOICE is (c) Higher noise amplification

The BEST explanation: The compensated system of the proportional DERIVATIVE controller has bandwidth increases and signal to noise RATIO decreases.

18.

Operations performed by hydraulic controllers:(a) Flexible operations(b) High torque high speed operations(c) Fire and explosion proof operation(d) All of the mentionedThe question was posed to me at a job interview.This question is from Realization of Basic Compensators in chapter Design of Control Systems

Answer»

The correct option is (B) High torque high speed OPERATIONS

Explanation: Hydraulic CONTROLLERS are the controllers that perform the CONTROL ACTION in which the motion is due to the water and they have high torque and high speed operations.

19.

In control system excessive bandwidth is not employed because(a) Noise is proportional to bandwidth(b) It leads to low relative stability(c) It leads to slower time response(d) Noise is proportional to the square of the bandwidthThis question was addressed to me by my college professor while I was bunking the class.Question is taken from Feedback Compensation topic in section Design of Control Systems

Answer»

Correct CHOICE is (a) NOISE is proportional to bandwidth

Best explanation: In closed loop system the bandwidth of the system is more as compared to the OPEN loop system and this is so required as higher the bandwidth means LOWER the SELECTIVITY and hence higher the noise.

20.

The compensator for the system can be:(a) Electrical(b) Mechanical(c) Hydraulic(d) All of the mentionedI got this question in quiz.I'd like to ask this question from Preliminary Considerations of Classical Design in section Design of Control Systems

Answer»

Correct choice is (d) All of the mentioned

Explanation: COMPENSATOR can be of any DIFFERENT type but mainly ELECTRIC NETWORK SERVES as the compensator.

21.

What should be the nature of bandwidth for a good control system?(a) Large(b) Small(c) Medium(d) All of the mentionedThe question was posed to me by my college professor while I was bunking the class.The doubt is from The Design Problem in portion Design of Control Systems

Answer» CORRECT choice is (a) Large

Easiest explanation: Bandwidth is DEFINED as the difference in the highest FREQUENCY and lowest frequency and bandwidth must be large for the good control system and for HIGHER bandwidth NOISE is also large.
22.

Which notation represents the feedback path in closed loop system representation?(a) b(t)(b) c(t)(c) e(t)(d) r(t)I had been asked this question in quiz.The origin of the question is The Design Problem topic in section Design of Control Systems

Answer»

Correct option is (C) E(t)

For explanation: FEEDBACK can be positive and NEGATIVE and feedback is so used to reduce the ERROR of the system by comparing the final output with the desired output and reducing the error and this error is denoted with the symbol as e(t).

23.

The transfer function of a lead controller is 1+20s/1+5s. The high frequency magnitude of the lead controller to dB is ___________(a) 1(b) 2(c) 3(d) 4This question was posed to me at a job interview.I need to ask this question from Cascade Compensation in Frequency Domain topic in portion Design of Control Systems

Answer»

The correct option is (d) 4

To explain I would say: G(s) = Tp (1+Tds)/s^2

It is type-2 FUNCTION.

The type-2 function has a FINITE steady STATE ERROR for unit-parabolic input.

24.

What is the effect of phase lag compensation on the performance of a servo system?(a) For a given relative stability, the velocity constant is increased(b) For a given relative stability, the velocity constant is decreased(c) The bandwidth of the system is increased(d) The time response is made fasterI got this question in an interview.Question is taken from Realization of Basic Compensators topic in portion Design of Control Systems

Answer»

Correct CHOICE is (a) For a given relative STABILITY, the velocity CONSTANT is increased

Explanation: Phase lag compensation is an integrator. It reduces the steady state error.

Velocity constant =1/steady state error

So velocity constant is increased.

25.

Which among the following controls the speed of D.C. motor?(a) Galvanometer(b) Gauss meter(c) Potentiometer(d) TachometerI had been asked this question in an international level competition.I'd like to ask this question from The Design Problem topic in division Design of Control Systems

Answer»

The correct choice is (d) TACHOMETER

To explain: D.C. MOTOR is the motor which operates with the DIRECT current as in the CONSTRUCTION of DC motors slip RINGS not commutators and tachometer control the speed of DC motor.

26.

As compared to the closed loop system, an open loop system is(a) More stable but less accurate(b) Less stable as well as less accurate(c) More stable as well as more accurate(d) Less stable but more accurateThe question was posed to me in examination.I would like to ask this question from Feedback Compensation in portion Design of Control Systems

Answer» CORRECT choice is (a) More stable but LESS accurate

To EXPLAIN: OPEN loop system always follows the input but closed loop system always reduces the error irrespective of the input applied.
27.

Derivative output compensation:(a) Improvement in transient response(b) Reduction in steady state error(c) Reduction is settling time(d) Increase in damping constantThis question was posed to me in a national level competition.My question is taken from Tuning of PID Controllers in division Design of Control Systems

Answer»

The correct option is (c) Reduction is SETTLING time

The explanation: Derivative controller is the controller that is also like high pass filter and is also PHASE lead controller and it is used to increase the speed of response of the SYSTEM by increasing the DAMPING COEFFICIENT.

28.

A good control system should be sensitive to __________(a) Internal disturbances(b) Environmental parameters(c) Parametric variations(d) Input signals (except noise)I got this question during an internship interview.The question is from The Design Problem in portion Design of Control Systems

Answer»

The CORRECT choice is (c) Parametric VARIATIONS

Best explanation: A good control system is the system with HIGH speed of response and steady state error must be less and bandwidth should be large and noise must be very low and must be sensitive to parametric variations.

29.

In time domain the speed of response is measured in terms of :(a) Rise time(b) Settling time(c) Natural frequency(d) All of the mentionedI have been asked this question in an interview for internship.I need to ask this question from Preliminary Considerations of Classical Design in chapter Design of Control Systems

Answer»

Right ANSWER is (d) All of the mentioned

The EXPLANATION is: The value of rise time must be less so that the speed of response of control system must be large and it DEPENDS UPON the rise time, settling time and natural frequency.

30.

Which of the following is not the correct reason to select feedback compensation over cascaded one?(a) No amplification is required as the energy transfer is from higher to lower level.(b) Suitable devices are not available for compensation(series)(c) It is economical(d) Provides greater stiffness against load disturbancesThe question was asked by my school principal while I was bunking the class.This interesting question is from Realization of Basic Compensators topic in section Design of Control Systems

Answer»

Right choice is (c) It is economical

Explanation: FEEDBACK compensation is the compensation OBTAINED due to feedback and cascade REFERS to the cascading of BLOCKS in the FORWARD path and feedback compensation is not preferred over cascading as it is ecenomical.

31.

Which of the statements are the advantages of closed loop systems over the open loop system:(a) The overall reliability of the open loop system is more than the closed loop system is more than closed loop system.(b) The transient response in closed loop system decays more quickly than in open loop system.(c) In open loop system closing the loop increases the gain of the system(d) In open loop system the effect of parameter variation is reducedThe question was asked in class test.I'd like to ask this question from Feedback Compensation topic in section Design of Control Systems

Answer»

Right option is (b) The transient RESPONSE in closed loop system decays more quickly than in open loop system.

The explanation: Speed of response REFERS to the time taken to give the FINAL output and it depends UPON the rise and settling time of the transient response and speed of response of closed loop system is more than that of open loop system.

32.

PD controller:(a) Decreases steady state error and improves stability(b) Rise time decreases(c) Transient response becomes poorer(d) Increases steady state errorThe question was posed to me by my college director while I was bunking the class.This interesting question is from Cascade Compensation in Time Domain topic in chapter Design of Control Systems

Answer» CORRECT option is (b) Rise time DECREASES

To elaborate: In Proportional and Derivative CONTROLLER the DAMPING factor value is increases the oscillations are reduced and rise time decreases hence SPEED of response increases.
33.

Lag-lead compensation is a:(a) Increases bandwidth(b) Attenuation(c) Increases damping factor(d) Second orderThe question was posed to me by my college professor while I was bunking the class.This intriguing question originated from Tuning of PID Controllers topic in division Design of Control Systems

Answer»

Correct ANSWER is (d) Second order

The EXPLANATION is: Lag-Lead compensation is a second order CONTROL system which has lead and lag compensation both and THUS has combined effect of both lead and lag compensation this is obtained by the differential equation.

34.

P+D controller:(a) Introduces offset(b) Increases bandwidth(c) Increases margin of stability(d) Reduces velocity constantI had been asked this question during an interview.I'd like to ask this question from Cascade Compensation in Frequency Domain in section Design of Control Systems

Answer»

Right answer is (c) Increases MARGIN of stability

To EXPLAIN: Proportional DERIVATIVE controller is the controller increases margin of stability and ALSO used to increase he bandwidth and also increases the signal to noise RATIO.

35.

Which among the following represents an illustration of closed loop system?(a) Automatic washing machine(b) Automatic electric iron(c) Bread toaster(d) Electric hair drierI have been asked this question during a job interview.My enquiry is from The Design Problem in portion Design of Control Systems

Answer» CORRECT choice is (a) Automatic washing machine

Explanation: CLOSED loop control system is the system with the positive or negative feedback and this is made so as to avoid the DISADVANTAGES of OPEN loop control system and in the above options automatic washing machine represents closed loop system.
36.

Insertion of negative feedback in control system affects:(a) The transient response to vanish uniformly(b) The transient response to decay very fast(c) No change in transient response(d) The transient response decays at slow rateThis question was addressed to me in an international level competition.My question is taken from Feedback Compensation in division Design of Control Systems

Answer»

Correct option is (b) The TRANSIENT RESPONSE to decay very fast

Explanation: Feedback can be positive or negative but practically positive feedback is not USED as it causes oscillations in the SYSTEM with more gain and hence negative feedback is use which causes speed of response to increase.

37.

Rate compensation :(a) Increases bandwidth(b) Attenuation(c) Increases damping factor(d) Second orderThe question was asked in an interview.I would like to ask this question from Tuning of PID Controllers in section Design of Control Systems

Answer»

Right OPTION is (c) Increases damping factor

Easy EXPLANATION: Damping factor is increased for reducing the oscillations and increasing the stability and speed of response which are the essential requirements of the control SYSTEM and damping factor is increased by the RATE compensation.

38.

The compensator transfer function can be placed in:(a) Cascade or series compensation(b) Feedback or parallel compensation(c) Positive(d) NegativeThis question was addressed to me in examination.My question is taken from Preliminary Considerations of Classical Design topic in section Design of Control Systems

Answer»

The correct answer is (c) Positive

The explanation: Compensator are the DEVICES used in FREQUENCY domain so as to get the desired response and there are various METHODS to place the compensators in the SYSTEM as cascade or series or FEEDBACK or parallel.

39.

Which among the following is not an advantage of an open loop system?(a) Simplicity in construction & design(b) Easy maintenance(c) Rare problems of stability(d) Requirements of system re-calibration from time to timeI had been asked this question in an internship interview.The above asked question is from The Design Problem topic in section Design of Control Systems

Answer»

Right choice is (d) Requirements of system re-calibration from TIME to time

The best I can EXPLAIN: Open loop system is the system with no feedback and the parameter variations in the open loop system are more as compared to the CLOSED loop system and the system has to be re-calibrated as per the requirement as automatic calibration is not PRESENT in this system.

40.

Proportional controller:(a) Introduces offset(b) Increases bandwidth(c) Increases margin of stability(d) Reduces velocity constantThe question was asked by my college professor while I was bunking the class.The above asked question is from Cascade Compensation in Frequency Domain in division Design of Control Systems

Answer»

The correct option is (a) INTRODUCES OFFSET

Explanation: Proportional controller is the controller that is BLOCK used to CONTROL the gain of the control system and introduces offset error and there is no effect on the DAMPING factor.

41.

Which of the statement is correct with regard to the bandwidth of the control loop system:(a) In systems where the low frequency magnitude in 0 dB on the bode diagram, the bandwidth is measured at the -3 dB frequency(b) The bandwidth is the measurement of the accuracy of the closed loop system(c) The stability is proportional to the bandwidth(d) The system with larger bandwidth provides slower step response and lower fidelity ramp responseI got this question in an interview for internship.The above asked question is from Feedback Compensation in section Design of Control Systems

Answer»

Right choice is (a) In systems where the low FREQUENCY magnitude in 0 dB on the bode diagram, the BANDWIDTH is measured at the -3 dB frequency

The BEST I can explain: Bandwidth is the frequency measured at the GAIN of 3dB and for the good control system the value of the bandwidth must be large but the large value of the bandwidth increses the noise in the system.

42.

Addition of zero at origin:(a) Improvement in transient response(b) Reduction in steady state error(c) Reduction is settling time(d) Increase in damping constantThe question was posed to me in an interview.The query is from Tuning of PID Controllers topic in section Design of Control Systems

Answer»

Right ANSWER is (a) IMPROVEMENT in transient response

Explanation: Stability of the system can be DETERMINED by various factors and for a good control system the stability of the system must be more and this can be increased by adding ZERO to the system and IMPROVES the transient response.

43.

PID controller:(a) Decreases steady state error and improves stability(b) Rise time decreases(c) Transient response becomes poorer(d) Increases steady state errorThis question was addressed to me by my school teacher while I was bunking the class.I need to ask this question from Cascade Compensation in Time Domain topic in chapter Design of Control Systems

Answer»

Right option is (a) Decreases steady state error and IMPROVES STABILITY

To elaborate: PROPORTIONAL Integral and Derivative controller is the controller that is the combinational controller that INCREASES the speed of response, decreases steady state error and improves stability.

44.

With regard to the filtering capacity the lead compensator and lag compensator are respectively:(a) Low pass and high pass filter(b) High pass and low pass filter(c) Both high pass filter(d) Both low pass filtersI have been asked this question in unit test.I want to ask this question from Realization of Basic Compensators topic in division Design of Control Systems

Answer»

The correct answer is (b) HIGH pass and low pass filter

For EXPLANATION: Lead COMPENSATOR is similar to high pass filter which allows only the high FREQUENCIES to pass and rejects all the other and Lag compensator is similar to Low pass filter which allows only low frequencies to pass and rejects other.

45.

Which of the following is an effect of lag compensation?(a) Decrease bandwidth(b) Improves transient response(c) Increases the effect of noise(d) Increases stability marginThis question was posed to me during an online exam.This is a very interesting question from Cascade Compensation in Time Domain in chapter Design of Control Systems

Answer»

The CORRECT OPTION is (a) DECREASE bandwidth

Easy explanation: Lag compensation is the integral compensation that introduces the lag in the RESPONSE by slowing the response and reducing the steady state error value by DECREASING bandwidth.

46.

For the gain feedback system, does not affect the system output if KG is :(a) Small(b) Negative(c) One(d) Very largeThe question was asked in unit test.This intriguing question comes from Feedback Compensation in portion Design of Control Systems

Answer»

The CORRECT OPTION is (d) Very large

For explanation I would SAY: T(s)=KG/(1+KGH)

 If KG>>1: then C(s)=R(s)/H.

47.

Which of the following will not decrease as a result of introduction of negative feedback?(a) Instability(b) Bandwidth(c) Overall gain(d) DistortionI got this question in final exam.Query is from Feedback Compensation topic in chapter Design of Control Systems

Answer»

Right answer is (b) Bandwidth

The explanation: Bandwidth always INCREASES DUE to NEGATIVE FEEDBACK as the SPEED of response is directly proportional to the bandwidth.

48.

The compensator G(s) =5(1+0.3s)/1+0.1s would provide a maximum phase shift of:(a) 20°(b) 30°(c) 45°(d) 60°This question was addressed to me during an interview for a job.The query is from Realization of Basic Compensators in portion Design of Control Systems

Answer»

Right choice is (b) 30°

To explain: The TWO corner FREQUENCIES are 1/0.3 and 1/0.1. The maximum phase lead OCCURS at mid FREQUENCY w =10/√ and maximum phase is 30°.

49.

The most important consideration for designing of control system are:(a) Transient response measures(b) Steady state error(c) Temporary response(d) Final responseThis question was posed to me in my homework.The above asked question is from Preliminary Considerations of Classical Design in division Design of Control Systems

Answer»

Correct choice is (c) Temporary response

Explanation: The important point to keep in mind for designing control system are the TRANSIENT response and STEADY state response as for designing a control system both of the RESPONSES are USED in detail. .

50.

The input of a controller is(a) Sensed signal(b) Error signal(c) Desired variable value(d) Signal of fixed amplitude not dependent on desired variable valueThe question was posed to me in my homework.I want to ask this question from Tuning of PID Controllers topic in division Design of Control Systems

Answer»

Right choice is (B) Error signal

To EXPLAIN I would say: CONTROLLER is the block in the control SYSTEM that control the input and provides the OUTPUT and this is the first block of the system having the input as the error signal.