180+ Control System Engineering (CSE) Solved MCQs

101.

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» C. 3
Explanation: comparing with the m circle equation we have the value of m =3.
102.

What is the value of M for the constant M circle represented by the equation 8x2+18x+8y2+9=0?

A. 0.5
B. 2
C. 3
D. 8
Answer» C. 3
Explanation: comparing with the m circle equation we have the value of m =3.
103.

The constant N loci represented by the equation x^2+x+y^2=0 is for the value of phase angle equal to:

A. -45°
B.
C. 45°
D. 90°
Answer» D. 90°
Explanation: centre = (-0.5, 0) centre of n circle is (-1/2, 1/2n)
104.

4 DESIGN OF COMPENSATORS USING BODE PLOT

A. -1 and origin
B. origin and +1
C. -0.5 and 0.5
D. -1 and +1
Answer» A. -1 and origin
Explanation: centre of n circle is (-1/2, 1/2n)
105.

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

A. closed loop frequency response
B. open loop frequency response
C. close loop and open loop frequency responses
D. none of the above
Answer» A. closed loop frequency response
Explanation: nichol’s chart is useful for the detailed study analysis of closed loop frequency response.
106.

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» D. none of the above
Explanation: t. f. = kp (1+tds)
107.

OLTF contains one zero in right half of s- plane then

A. open loop system is unstable
B. close loop system is unstable
C. close loop system is unstable for higher gain
D. close loop system is stable
Answer» C. close loop system is unstable for higher gain
Explanation: oltf contains one zero in right half of s-plane then close loop system is unstable for higher gain.
108.

The critical value of gain for a system is 40 and gain margin is 6dB. The system is operating at a gain of:

A. 20
B. 40
C. 80
D. 120
Answer» A. 20
Explanation: gm (db) = 20loggm gm =2
109.

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» A. closed loop frequency response
Explanation: nichol’s chart is useful for the detailed study and analysis of closed loop frequency response.
110.

The roots of the characteristic equation of the second order system in which real and imaginary part represents the :

A. damped frequency and damping
B. damping and damped frequency
C. natural frequency and damping ratio
D. damping ratio and natural frequency
Answer» B. damping and damped frequency
Explanation: real part represents the damping and imaginary part damped frequency.
111.

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 input
Answer» D. 180 degree phase shift to the input
Explanation: 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.
112.

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 margin
Answer» A. decrease bandwidth
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.
113.

PD controller:

A. decreases steady state error and improves stability
B. rise time decreases
C. transient response becomes poorer
D. increases steady state error
Answer» B. rise time decreases
Explanation: in proportional and derivative
114.

PID controller:

A. decreases steady state error and improves stability
B. rise time decreases
C. transient response becomes poorer
D. increases steady state error
Answer» A. decreases steady state error and improves stability
Explanation: 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.
115.

PI controller:

A. decreases steady state error and improves stability
B. rise time decreases
C. transient response becomes poorer
D. increases steady state error
Answer» C. transient response becomes poorer
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.
116.

Proportional controller

A. decreases steady state error and improves stability
B. rise time decreases
C. transient response becomes poorer
D. increases steady state error
Answer» D. increases steady state error
Explanation: proportional controller is the controller that is used in the system so that the output follows the input and increases steady state error.
117.

Lead compensator increases bandwidth

A. true
B. false
Answer» A. true
Explanation: lead compensator is similar to high pass filter and causes lead in the system and increases the speed of response of the system and hence increases bandwidth.
118.

Lag compensator reduces                     

A. position constant
B. velocity constant
C. position variable
D. acceleration constant
Answer» B. velocity constant
Explanation: lag compensator is the integral compensation that causes the lag in the response and reduces velocity constant.
119.

A linear time invariant system is stable if :

A. system in excited by the bounded input, the output is also bounded
B. in the absence of input output tends zero
C. both a and b
D. system in excited by the bounded input, the output is not bounded
Answer» C. both a and b
Explanation: a system is stable only if it is bibo stable and asymptotic stable.
120.

Asymptotic stability is concerned with:

A. a system under influence of input
B. a system not under influence of input
C. a system under influence of output
D. a system not under influence of output
Answer» B. a system not under influence of input
Explanation: asymptotic stability concerns a free system relative to its transient behavior.
121.

Bounded input and Bounded output stability notion concerns with :

A. a system under influence of input
B. a system not under influence of input
C. a system under influence of output
D. a system not under influence of output
Answer» A. a system under influence of input
Explanation: bibo stability concerns with the system that has input present.
122.

If a system is given unbounded input then the system is:

A. stable
B. unstable
C. not defined
D. linear
Answer» C. not defined
Explanation: if the system is given with the unbounded input then nothing can be clarified for the stability of the system.
123.

Linear mathematical model applies to :

A. linear systems
B. stable systems
C. unstable systems
D. non-linear systems
Answer» B. stable systems
Explanation: as the output exceeds certain magnitude then the linear mathematical model no longer applies.
124.

For non-linear systems stability cannot be determined due to:

A. possible existence of multiple equilibrium states
B. no correspondence between bounded input and bounded output stability and asymptotic stability
C. output may be bounded for the particular bounded input but may not be bounded for the bounded inputs
D. all of the mentioned
Answer» D. all of the mentioned
Explanation: for non-linear systems stability cannot be determined as asymptotic stability and bibo stability concepts cannot be applied, existence of multiple states and unbounded output for many bounded inputs.
125.

If the impulse response in absolutely integrable then the system is :

A. absolutely stable
B. unstable
C. linear
D. stable
Answer» A. absolutely stable
Explanation: the impulse response must be absolutely integrable for the system to absolutely stable.
126.

The roots of the transfer function do not have any effect on the stability of the system.

A. true
B. false
Answer» B. false
Explanation: the roots of transfer function also determine the stability of system as they may be real, complex and may have multiplicity of various order.
127.

Roots with higher multiplicity on the imaginary axis makes the system :

A. absolutely stable
B. unstable
C. linear
D. stable
Answer» B. unstable
Explanation: repetitive roots on the imaginary axis makes the system unstable.
128.

Roots on the imaginary axis makes the system :

A. stable
B. unstable
C. marginally stable
D. linear
Answer» C. marginally stable
Explanation: roots on the imaginary axis makes the system marginally stable.
129.

If root of the characteristic equation has positive real part the system is :

A. stable
B. unstable
C. marginally stable
D. linear
Answer» B. unstable
Explanation: the impulse response of the system is infinite when the roots of the characteristic equation has positive real part.
130.

A linear system can be classified as :

A. absolutely stable
B. conditionally stable
C. unstable
D. all of the mentioned
Answer» D. all of the mentioned
Explanation: a system can be stable, unstable and conditionally stable also.
131.

                       is a quantitative measure of how fast the transients die out in the system.

A. absolutely stable
B. conditionally stable
C. unstable
D. relative stability
Answer» D. relative stability
Explanation: relative stability may be measured by relative settling times of each root or pair of roots.
132.

Root locus of s(s+2)+K(s+4) =0 is a circle. What are the coordinates of the center of this circle?

A. -2,0
B. -3,0
C. -4,0
D. -5,0
Answer» C. -4,0
Explanation: s(s+2)+k(s+4) =0
133.

The main objective of drawing root locus plot is :

A. to obtain a clear picture about the open loop poles and zeroes of the system
B. to obtain a clear picture about the transient response of feedback system for various values of open loop gain k
C. to determine sufficient condition for the value of ‘k’ that will make the feedback system unstable
D. both b and c
Answer» D. both b and c
Explanation: the main objective of drawing root locus plot is to obtain a clear picture about the transient response of feedback system for various values of open loop gain k and to determine sufficient condition for the value of ‘k’ that will make the feedback system unstable.
134.

While increasing the value of gain K, the system becomes

A. less stable
B. more stable
C. unstable
D. absolute stable
Answer» A. less stable
Explanation: damping factor is inversely proportional to gain on increasing gain it reduces hence makes the system less stable.
135.

The addition of open loop poles pulls the root locus towards:

A. the right and system becomes unstable
B. imaginary axis and system becomes marginally stable
C. the left and system becomes unstable
D. the right and system becomes unstable
Answer» D. the right and system becomes unstable
Explanation: the addition of open loop poles pulls the root locus towards the right and system becomes unstable.
136.

Root locus is used to calculate:

A. marginal stability
B. absolute stability
C. conditional stability
D. relative stability
Answer» D. relative stability
Explanation: root locus is used to calculate relative stability.
137.

Routh Hurwitz criterion is better than root locus.

A. true
B. false
Answer» B. false
Explanation: root locus is better as it require less computation process.
138.

Consider the following statements regarding root loci:

A. all root loci start from the respective poles of g(s) h(s)
B. all root loci end at the respective zeros of g(s) h(s) or go to infinity
C. the root loci are symmetrical about the imaginary axis of the s-plane
D. all root loci start and end from the respective poles of g(s) h(s) or go to infinity
Answer» B. all root loci end at the respective zeros of g(s) h(s) or go to infinity
Explanation: all the root locus start at respective poles and end at zeroes.
139.

Number of roots of characteristic equation is equal to the number of                              

A. branches
B. root
C. stem
D. poles
Answer» A. branches
Explanation: number of roots of characteristic equation is equal to the number of branches.
140.

Which of the following statements are correct?

A. root locus is for the negative feedback systems
B. complementary root locus is for the positive feedback systems
C. root locus is for the negative feedback and complementary root locus is for the positive feedback systems
D. complementary root locus is for the negative feedback systems
Answer» C. root locus is for the negative feedback and complementary root locus is for the positive feedback systems
Explanation: root locus and complementary root locus are complementary to each other.
141.

Consider the loop transfer function K(s+6)/(s+3)(s+5) In the root locus diagram the centroid will be located at:

A. -4
B. -1
C. -2
D. -3
Answer» C. -2
Explanation: centroid =sum of real part of open loop pole-sum of real part of open loop zeros/p-z.
142.

Which one of the following applications software’s is used to obtain an accurate root locus for?

A. lisp
B. matlab
C. dbase
D. oracle
Answer» B. matlab
Explanation: matlab stands for mathematics laboratory in which the input is in the form of the matrix and is the best software for drawing root locus.
143.

Which one of the following is not the property of root loci?

A. the root locus is symmetrical about imaginary axis
B. they start from the open loop poles and terminate at the open loop zeroes
C. the breakaway points are determined from dk/ds = 0
D. segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.
Answer» A. the root locus is symmetrical about imaginary axis
Explanation: the root locus is the locus traced due to the gain of the system with changing frequency and need not be symmetrical about origin.
144.

The breakaway point calculated mathematically must always lie on the root locus.

A. true
B. false
Answer» A. true
Explanation: the breakaway point of the two
145.

What is the number of the root locus segments which do not terminate on zeroes?

A. the number of poles
B. the number of zeroes
C. the difference between the number of poles and zeroes
D. the sum of the number of poles and the number of the zeroes
Answer» C. the difference between the number of poles and zeroes
Explanation: the number of the root locus segments which do not lie on the root locus is the difference between the number of the poles and zeroes.
146.

Which one of the following are correct? The root locus is the path of the roots of the characteristic equation traced out in the s- plane?

A. as the input of the system is changed
B. as the output of the system is changed
C. as a system parameter is changed
D. as the sensitivity is changed
Answer» C. as a system parameter is changed
Explanation: the root locus is the locus of the change of the system parameters of the characteristic equation traced out in the s- plane.
147.

If the gain of the system is reduced to a zero value, the roots of the system in the s- plane,

A. coincide with zero
B. move away from zero
C. move away from poles
D. coincide with the poles
Answer» D. coincide with the poles
Explanation: the roots of the system in s plane coincides with the poles if the gain of the system is reduced to a value zero.
148.

The addition of open loop zero pulls the root loci towards:

A. the left and therefore system becomes more stable
B. the right and therefore system becomes unstable
C. imaginary axis and therefore system becomes marginally stable
D. the left and therefore system becomes unstable
Answer» A. the left and therefore system becomes more stable
Explanation: the system can become stable by reducing the damping and also by adding zeroes in the s plane and moving left of the s plane system becomes more stable.
149.

If root loci plots of a particular control system do not intersect the imaginary axis at any point, then the gain margin of the system will be:

A. 0
B. 0.707
C. 1
D. infinite
Answer» D. infinite
Explanation: the gain margin is the inverse of the intersection of the root loci plot to the imaginary axis and if it does not intersect then the gain margin will be infinite.
150.

When the number of poles is equal to the number of zeroes, how many branches of root locus tends towards infinity?

A. 1
B. 2
C. 0
D. equal to number of zeroes
Answer» C. 0
Explanation: branches of the root locus is equal to the number of poles or zeroes which ever is greater and tends toward infinity when poles or zeroes are unequal.
151.

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

A. -1b+d
B. c(zi-a)-1
C. (zi-a)-1z
D. (zi-a)-1
Answer» A. -1b+d
Explanation: transfer function which is ratio of laplace output to the laplace input when the initial conditions are zero in discrete is same as continuous but in the z-domain.
152.

State space analysis is applicable for non- linear systems and for multiple input and output systems.

A. true
B. false
Answer» A. true
Explanation: state space analysis is the technique that used state variables and state model for the analysis and is applicable for non-linear systems and for multiple input and output systems.
153.

When human being tries to approach an object, his brain acts as,

A. an error measuring device
B. a controller
C. an actuator
D. an amplifier
Answer» B. a controller
Explanation: brain of human being acts as a controller in the human body system as human body is the control system and when
154.

For two-phase AC servomotor, if the rotor’s resistance and reactance are respectively R and X, its length and diameter are respectively L and D then,

A. x/r and l/d are both small
B. x/r is large but l/d is small
C. x/r is small but l/d is large
D. x/r and l/d are both large
Answer» C. x/r is small but l/d is large
Explanation: small x/r gives linear speed torque characteristic. large l/d gives less inertia and good acceleration characteristic.
155.

Error detector:

A. armature controlled fhp dc motor
B. a pair of synchronous transmitter and control transformer
C. tach generator
D. amplidyne
Answer» A. armature controlled fhp dc motor
Explanation: error detector is the part in the armature controlled fhp dc motor where
156.

Servomotor:

A. armature controlled fhp dc motor
B. a pair of synchronous transmitter and control transformer
C. tach generator
D. amplidyne
Answer» B. a pair of synchronous transmitter and control transformer
Explanation: servomotor is a rotary actuator or linear actuator that allows for precise control of angular or linear position, velocity and acceleration a pair of synchronous transmitter and control transformer.
157.

Amplifier:

A. armature controlled fhp dc motor
B. a pair of synchronous transmitter and control transformer
C. tach generator
D. amplidyne
Answer» D. amplidyne
Explanation: amplifier is an amplidyne which is an amplidyne is an electromechanical amplifier invented during world war ii by ernst alexanderson. it consists of an electric motor driving a dc generator.
158.

A differentiator is usually not a part of a control system because it

A. reduces damping
B. reduces the gain margin
C. increases input noise
D. increases error
Answer» C. increases input noise
Explanation: a differentiator is the phase lead compensator which increases the speed of response and bandwidth and manages the transient response of the system.
159.

If the gain of the critical damped system is increased it will behave as

A. oscillatory
B. critically damped
C. overdamped
D. underdamped
Answer» D. underdamped
Explanation: gain of the critical system is inversely proportional to the root of the damping factor and hence on increasing the gain the damping reduces and system becomes the underdamped.
160.

In a control system integral error compensation                steady state error

A. increases
B. minimizes
C. does not have any effect on
D. all of the mentioned
Answer» B. minimizes
Explanation: integral error compensation is the phase lag compensation and reduces the steady state error and eliminates the error.
161.

With feedback            reduces.

A. system stability
B. system gain
C. system stability and gain
D. none of the mentioned
Answer» B. system gain
Explanation: feedback reduces the gain as it causes the stability to the closed loop system and for the good control system the stability of the system should be high and also the speed of response.
162.

An amplidyne can give which of the following characteristics?

A. constant current
B. constant voltage
C. constant current as well as constant voltage
D. constant current, constant voltage and constant power
Answer» D. constant current, constant voltage and constant power
Explanation: an amplidyne has constant current, voltage and power.
163.

Which of the following can be measured by LVDT?

A. displacement
B. velocity
C. acceleration
D. all of the mentioned
Answer» D. all of the mentioned
Explanation: lvdt can measure displacement, velocity and acceleration which is a linear variable differential transformer and inductive transducer.
164.

                        directly converts temperature into voltage.

A. thermocouple
B. potentiometer
C. gear train
D. lvdt
Answer» A. thermocouple
Explanation: thermocouple is a device that converts the change in the temperature into voltage in which the change in temperature of
165.

The transfer function technique is considered as inadequate under which of the following conditions?

A. systems having complexities and non- linearity’s
B. systems having stability problems
C. systems having multiple input disturbances
D. all of the mentioned
Answer» D. all of the mentioned
Explanation: transfer function is the ratio of laplace output to the laplace input with the zero initial conditions and is considered inadequate due to complexity, stability problems and multiple input disturbances.
166.

Which of the following is the output of a thermocouple?

A. alternating current
B. direct current
C. a.c. voltage
D. d.c. voltage
Answer» D. d.c. voltage
Explanation: thermocouple is the device that is used to convert the change in temperature gives output in dc form.
167.

A system is said to be                           if it is possible to transfer the system state from any initial state to any desired state in finite interval of time.

A. controllable
B. observable
C. cannot be determined
D. controllable and observable
Answer» A. controllable
Explanation: by definition a system is said to be controllable, if it is possible to transfer
168.

A system is said to be                                    if every state can be completely identified by measurements of the outputs at the finite time interval.

A. controllable
B. observable
C. cannot be determined
D. controllable and observable
Answer» B. observable
Explanation: by definition, a system is said to be observable, if every state can be completely identified by measurements of the outputs at the finite time interval.
169.

Kalman’s test is for :

A. observability
B. controllability
C. optimality
D. observability and controllability
Answer» D. observability and controllability
Explanation: kalman’s test is the test that is done for the controllability and observability by solving the matrix by kalman’s matrix individually for both tests.
170.

Consider a system if represented by state space equation and x1 (t) =x2 (t), then the system is:

A. controllable
B. uncontrollable
C. observable
D. unstable
Answer» B. uncontrollable
Explanation: after calculating the matrix which for controllable system and finding the determinant and should not be zero but in this case comes to be zero.
171.

A transfer function of the system does not have pole-zero cancellation? Which of the following statements is true?

A. system is neither controllable nor observable
B. system is completely controllable and observable
C. system is observable but uncontrollable
D. system is controllable and unobservable
Answer» B. system is completely controllable and observable
Explanation: if the transfer function of the system does not have pole-zero cancellation then it is completely controllable and observable.
172.

Complex conjugate pair:

A. center
B. focus point
C. saddle point
D. stable node
Answer» B. focus point
Explanation: complex conjugate pair is the complex pair of the roots of the equation and has a focus point.
173.

Pure imaginary pair:

A. centre
B. focus point
C. saddle point
D. stable node
Answer» A. centre
Explanation: pure imaginary pair is the nature of the root of the equation that has no real part only has the nature of center for linearized autonomous second order system.
174.

Real and equal but with opposite sign.

A. center
B. focus point
C. saddle point
D. stable node
Answer» C. saddle point
Explanation: saddle point are real and equal with opposite sign and these points are called the saddle point as the points are different with real and equal with opposite sign.
175.

Real distinct and negative.

A. center
B. focus point
C. saddle point
D. stable node
Answer» D. stable node
Explanation: stable node is real distinct and negative and this node is stable as the points or roots are real and neative lying on the left side of the plane.
176.

Stability of a system implies that :

A. small changes in the system input does not result in large change in system output
B. small changes in the system parameters does not result in large change in system output
C. small changes in the initial conditions does not result in large change in system output
D. all of the above mentioned
Answer» D. all of the above mentioned
Explanation: stability of the system implies that small changes in the system input, initial conditions, and system parameters does not result in large change in system output.
177.

If the roots of the have negative real parts then the response is                          

A. stable
B. unstable
C. marginally stable
D. bounded
Answer» D. bounded
Explanation: if the roots of the have negative real parts then the response is bounded and eventually decreases to zero.
178.

Which among the following is a unique model of a system?

A. transfer function
B. state variable
C. block diagram
D. signal flow graphs
Answer» A. transfer function
Explanation: transfer function is defined as the ratio of the laplace output to the laplace input with the zero initial conditions and is a unique model of the system.
179.

According to the property of state transition method, e0 is equal to            

A. i
B. a
C. e-at
D. -eat
Answer» C. e-at
Explanation: by definition state transition matrix is defined as e-at and this is the matrix that comes into the picture when the total response is considered that is with the free response and forced response.
180.

Which mechanism in control engineering implies an ability to measure the state by taking measurements at output?

A. controllability
B. observability
C. differentiability
D. adaptability
Answer» B. observability
Explanation: observability and controllability are the two methods to check the output response characteristics and observability in control engineering implies an ability to measure the state by taking measurements at output.
181.

State model representation is possible using                    

A. physical variables
B. phase variables
C. canonical state variables
D. all of the mentioned
Answer» D. all of the mentioned
Explanation: state model representation is the representation of the control system is the form of the state variables and state vectors
182.

Which among the following constitute the state model of a system in addition to state equations?

A. input equations
B. output equations
C. state trajectory
D. state vector
Answer» B. output equations
Explanation: output equations constitute the state model of a system in addition to state equations and for the complete state model mainly input model, output model and state models are required.
183.

Which among the following plays a crucial role in determining the state of dynamic system?

A. state variables
B. state vector
C. state space
D. state scalar
Answer» A. state variables
Explanation: state variables are the integral part of the state variable analysis and plays a crucial role in determining the state of dynamic system.
184.

Which among the following are the interconnected units of state diagram representation?

A. scalars
B. adders
C. integrator
D. all of the mentioned
Answer» D. all of the mentioned
Explanation: scalars, adders and integrator are the interconnected units of state diagram representation and this representation helps in determination of the state of the control system.
185.

State space analysis is applicable even if the initial conditions are            

A. zero
B. non-zero
C. equal
D. not equal
Answer» B. non-zero
Explanation: state space analysis is the analysis different from the transfer function approach as it has state variables and state vectors used for the analysis and can be used even if initial conditions are non-zero.
186.

Conventional control theory is applicable to              systems

A. siso
B. mimo
C. time varying
D. non-linear
Answer» A. siso
Explanation: the major advantage of state space analysis is that it can be applied to mimo systems also while the conventional control theory that is transfer function approach is applicable to the siso systems only.
187.

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 rate
Answer» 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.
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