QUIZ # 1

7. For the proportional controller, the

3. In a block diagram, the arrow represent control signal u(t) is related to the error
the ___. signal e(t) by the equation….
A. mathematical method A. e(t) = K u(t)
B. control elements B. u(t) = Kp e(t)
C. signal flow C. u(t) = K de(t)/dt
D. status D. u(t) = K * integral e(t)dt

4. A series combination of a 3H inductor 8. What is the Laplace transform of a

and 0.5F capacitor is in parallel with a 1- function 𝑡 2 .
ohm resistor. The combination is in A. 2𝑠3
series with a 2H inductor and source B. 1/𝑠2
voltage. Determine the transfer C. 2/𝑠3
function relating the resistor voltage to D. D.1/𝑠3
the source voltage.
3𝑠 2 +2 9. The output signal is fed back so that it
A. 𝑠3 +0.83𝑠2 +0.67𝑠+0.33
subtracts from the input signal.
A. Negative feedback (ata)
0.5𝑠 2 +0.33 B. Positive feedback
B. 𝑠3 +0.83𝑠2 +0.67𝑠+0.33 C. Control system
D. Loop gain
0.5𝑠 2 +0.33
C. 𝑠3 +5𝑠2 +4𝑠+2 10. Bode made it possible for engineers to
design linear closed-loop control
𝑠 2 +0.67 systems that satisfied the performance
D. 𝑠 2 +0.33𝑠+0.67 requirements.
A. Servomechanism
B. Stability of Closed-loop Systems
5. “Edward John Routh extended the by Sinusoidal Inputs
stability systems” refers to ____. C. Stability Criterion for a Third-
A. Stability Criterion for a Second- order System
order System D. Frequency response
B. B. Stability Criterion for a Third-
order System 11. The physical interpretation for the
C. C. Stability Criterion for a constant velocity is the _____ input.
Fourth-order System A. Step
D. D. Stability Criterion for a Fifth- B. Ramp
order System C. Parabola
D. Quadratic
6. Who invented a water clock, operated
by having water trickle into a measuring 12. More than one controlled output and
container at a constant rate. command input.
A. Ktesibios A. MIMO
B. Watt B. Output
C. Maxwell C. SISO
D. Bode D. Input
 C. Ramp
13. The impedance of 5 Farad is…. D. Parabolic
A. 0.2s
B. 0.2/S 20. Find the transfer function represented
C. 4s by dc(t)/dt + 4c(t) = r(t).
D. 5/S A. 4/(s+2)
B. 2/(s+4)
𝑑 2 𝑐𝑡 C. 1/(s+2)
14. Find the homogenous solution of +
𝑑𝑡 2 D. 1/(s+4)
5𝑑𝑐𝑡
4𝑐𝑡 = 𝑟𝑡
𝑑𝑡
A. 𝐶1 𝑒 −4𝑡 + 𝐶2 𝑡𝑒 −𝑡 21. Consider a system with the closed-loop
B. 𝐶1 𝑒 −4𝑡 + 𝐶2 𝑒 −𝑡 transfer function
C. 𝐶1 𝑒 −4𝑡 + 𝐶2 𝑒 𝑡
D. 𝑒 −𝑡 (𝐶1 𝑐𝑜𝑠4𝑡 + 𝐶2 𝑠𝑖𝑛4𝑡) 22. Reference input signal r plus or minus
the primary feedback signal b.
15. An impulse test input is used for A. Controlled Output
transient response and _____. B. Actuating Signal
A. Modelling C. Control Signal
B. Steady state error D. Reference Input
C. Stability 23. .
D. Cost check 24. .
25. .
16. It is used to have the same signal or 26. .
variable be an input to more than one 27. .
block or summing point. 28. What is the Laplace transform of
A. Plant 2sin5t?
B. Take off-point 10
A. 2+5
C. Feedback elements 𝑠
5
D. Feedforward elements B.
𝑠 2+25
2𝑠
C.
𝑠 2+25
17. What did James Watt invent? 10
D.
A. Steam Engine Speed Control 𝑠 2 +25
B. Liquid Level Control
C. Acceleration Control 29. The product of branch gains found by
D. Steam Pressure Control traversing a path that starts at a node
and ends at the same node, following
18. An arrangement, set, or collection of the direction of the signal flow, without
things connected or related in such a passing through any other node more
manner as to form an entirely or whole. than once.
A. Feedback A. Node
B. System B. Forward path gain
C. Graph C. Loop gain
D. Control system D. Non-touching loop gain

19. A linearly increasing response results if 30. When dealing with transfer functions, it
the input is ____. is assumed that initial conditions are
A. Impulse ____.
B. Step A. Infinite
 B. Negative QUIZ # 2
C. Zero
1. It is the torque produced by a
31. Which of the following is included in the mechanical device whose output
main criteria of a control system’s rotational speed is zero.
performance? A. No load
A. SENSITIVTY B. Stall
B. Cost C. Degree of freedom
C. Appearance D. Drag
D. Transient response
2. A gear system has a drive gear with N1
32. An RL series network has R=2ohms, = 12 and driven gear with N2 = 24. If a
L=0.25Henry and an applied voltage.
torque T(s) is applied at the driven gear,
What is the transfer function relating
what is the torque at the driven gear?
the circuit current to the applied
voltage, I(s)/V(s)? A. 4T(s)
A. 4/(s+8) B. 2T(s)
B. 8/(s+4) C. 2.5T(s)
C. 2/(s+2) D. 0.5T(s)
D. 4/(s+4)
3. Find Jm, given the system shown below.
33. For an non-inverting op-amp, what is
Vo(s)/Vi(s) if Z1=2 ohms and Z2=4+2i
ohms?
A. –(2+1i)
B. 14-2i
C. 3+i
A. 7
D. –Z1/Z2
B. 273
34. Determine Vo(s)/Vi(s). C. 3
D. 2

4. Find the transfer function X1(s)/F(s).

A. –(0.5s+5)/(s+5)
B. (1.5s+10)/(s+5) A. 0.2/(𝑠2 + 0.8𝑠 + 1)
C. (0.5s+0.5)/(s+5) B. 1/(5𝑠2 + 4𝑠)
D. –(s+5)/(0.5s+5)
C. 1/(55𝑠2 + 4𝑠 + 5)
D. 0.2/(𝑠2 + 0.8𝑠)
35. What is the inverse Laplace of 4/(𝑠2 +
3𝑠 + 2)?
A. 2(𝑒 −𝑡 − 𝑒 −2𝑡 )
B. 4(𝑒 −𝑡 − 𝑒 −2𝑡 )
C. 4(𝑒 −𝑡 + 𝑒 −2𝑡 )
D. 2(𝑒 −𝑡 + 𝑒 −2𝑡 )
5. Determine the equivalent inertia of the D. 2
system, when reflected at the gear with
the displacement ϴ3. 8. For the dc motor shown, find Dm.

A. 2
B. 3
A. J4+J5+(J2+J3)(N2/N1)^2+J1(N4 C. 512
N2/N3N1)^2 D. 8
B. J4+J5+(J2+J3)(N3/N2)^2+J1(N3
N2/N4N1)^2 9. Given:
C. J4+J5+(J2+J3)(N3/N4)^2+J1(N4
N1/N4N2)^2
D. J4+J5+(J2+J3)(N4/N3)^2+J1(N4
N2/N3N1)^2

6. Given:
M1=2; M2=1; K1=K2=1; fv=1; fv=2

Give the equation of motion at M1.

A. 0 = (2𝑠 2 + 𝑠 + 2)𝑋1(𝑠) + 𝑋2(𝑠)
B. F(s) = (2𝑠 2 + 𝑠 + 1)𝑋1(𝑠) −
𝑠𝑋2(𝑠)
C. F(s) = (2𝑠 2 + 𝑠 + 1)𝑋1(𝑠) − 𝑋2(𝑠)
M1=2; M2=1; K1=K2=1; fv=1; fv=2 D. F(s) = (𝑠 2 + 𝑠 + 1)𝑋1(𝑠) − 𝑋2(𝑠)

What is the motion equation at M2. 10. A gear system has a drive gear with N1
A. 0 = -X1(s) + (𝑠2 + 3𝑠 + 2)𝑋2(𝑠) = 12 and driven gear with N2 = 30. The
2
B. 0 = -X1(s) + (2𝑠 + 3𝑠 + angular displacement at the driven gear
2)𝑋2(𝑠) is ϴ. What is its equivalent angular
C. F(s) = -X1(s) + (𝑠2 + 3𝑠 + displacement at the drive gear?
2)𝑋2(𝑠) A. 4ϴ
D. 0 = -2X1(s) + (𝑠2 + 3𝑠 + B. 2.5ϴ
2)𝑋2(𝑠) C. 0.16ϴ
D. 0.4ϴ
7. For a certain motor and load system,
the torque-speed curve is given by 11. A dc motor develops 55 N-m torque at a
Tm=4wm+50 at 25V. Determine the speed of 600 rad/s when 12 volts are
constant Kb. applied. It stalls out at this voltage with
A. 0.5 100 N/m of torque.
B. 3 Find Kb.
C. 4 A. 0.12
 B. 0.009 A. 0.5 sec
C. 8.33 B. 1.1 sec
D. 111.11 C. 2 sec
D. 2.2 sec
12. Find X2(s)/F(s).

3. Given the system transfer function

G(s)=98/(𝑠2 + 6𝑠 + 196). What is the
damping ratio?
A. 0.214
B. 14
C. 0.671
A. (𝑠 + 1)/(𝑠 2 + 2𝑠 + 2) D. 1
B. s/(𝑠 2 + 2𝑠 + 2)
C. -(𝑠 + 1)/(𝑠 2 (𝑠 2 + 2𝑠 + 2))
4. The poles of a 2nd order system is -3+j8.
D. (𝑠 + 1)/(𝑠 2 (𝑠 2 + 2𝑠 + 2))
What is its damping ratio?
A. 0.351
13. The impedance of a mechanical
B. 0.544
component 2N-s/m is ____.
C. 8.644
A. 0.5s
D. 3
B. 2s
C. 2
5. Underdamped systems with equal
D. 2𝑠 2
imaginary poles but different real poles
have the same ____.
14. Linearly independent motion is also
A. Settling time
known as ____.
B. Rise time
A. Impedance
C. Peak time
B. Pivot points
C. Meshes
6. Given the system transfer function
D. Degrees of freedom
G(s)=98/(𝑠 2 + 6𝑠 + 196). What is the
peak time?
A. 0.23s
QUIZ # 3 B.
1. What type of 2nd order system is C. 0.27s
G(s)=225/(𝑠 2 + 32𝑠 + 256)? D. None of these
A. Undamped
B. Overdamped 7. If the settling time of a first order
C. Underdamped system is 0.5 sec, what is its transfer
D. Critically-damped function in general form?
A. 0.5/(s+0.5)
2. A series RL network has an applied B. 4.4/(s+4.4)
voltage v(t). Find the rise time of the C. 4/(s+4)
circuit current i(t), if R=1 ohm and L=0.5 D. 8/(s+8)
ohm.
8. What does the zeros and the poles
generate the for both the forced and 14. What poles generate the form of the
the natural frequency? steady-state response?
A. Time A. Feedback poles
B. Speed B. Input poles
C. Overshoot C. Transfer function poles
D. Amplitudes D. Zeros

9. It is the time for the response go from 15. What type of 2nd order system is
10% to 90% of the steady-state value. G(s)=500/(𝑠2 + 40𝑠 + 900)?
A. Peak time A. Undamped
B. Rise time B. Overdamped
C. Settling time C. Underdamped
D. Time constant D. Critically damped

10. Given the system transfer function 16. Obtain the closed-loop transfer
G(s)=98/(𝑠 2 + 6𝑠 + 196). What is the step function.
response?
A. 1-𝑒 −𝑡 -3t(cos13.7t+0.219sin13.7t)
B. 1-𝑒 −𝑡 -11.62t(cos3t+0.258sin3t)
C. 0.5(1-𝑒 −𝑡 -3t(cos13.7t+0.219sin13.7t)
D. 0.75(1-e3t(cos11.62t+1.03sin11.62t)
1
2
11. What is the damping ratio of A. 1
𝑠+
G(s)=225/(𝑠2 + 32𝑠 + 256)? 1
2

A. 0.703 B. 𝑠+1
B. 0.75 4
C. 𝑠+4
C. 0.5 1
D. 16 2
D.
𝑠+1

12. Given the system transfer function

17. It is the frequency oscillation of a
G(s)=98/(𝑠2 + 6𝑠 + 196). What is the
second-order system that has no
approximate value of the rise time?
damping.
A. 0.15s
A. Natural
B. 1.8s
B. Exponential decay
C. 2.89s
C. Damped
D. 0.13s
D. Neper

13. Given the system transfer function

18. What are the values of s/a that cause
G(s)=98/(𝑠2 + 6𝑠 + 196). What is the
the transfer function to become
exponential decay frequency? infinite?
A. 1 A. Time
B. 3 B. Gain
C. 0.25 C. Zeros
D. 11.62 D. Poles
 D. 0.25s
19. A negative unity feedback system has a
forward transfer function K/(s+2). Find 25. For the system shown, find the rise time
K so that the rise time is 0.25s. of the step response.
A. 4.4
B. 8.8
C. 6.8
D. 7.8 A. 4.4 sec
B. 2.2 sec
20. The poles of a 2nd order system are - C. 8 sec
2+j1.5. What is its natural frequency? D. 0.5 sec
A. 0.8
B. 1.5 26. Given G1=s+2 and G2=2/(2s+8). Find
C. 7 the peak time of the step response, if
D. 2.5 G1 is a negative feedback of G2.
A. 1.62 sec
21. If a pole is moved with a constant B. 1.49 sec
imaginary part, what will the frequency C. 8 sec
responses have in common. D. 1.94 sec
A. % overshoot
B. Settling time 27. It gives an indication of the speed of the
C. Peak time response.
D. Amplitude A. Peak time
B. Overshoot
22. If G1(s)=900/(s+900) and C. Time constant
G2(s)=90/(s+90), which of the two D. Amplitude
systems has a faster response?
A. G1(s) 28. Given the system transfer function
B. G2(s) G(s)=98/(𝑠2 + 6𝑠 + 196). What is the
C. Neither value of the settling time?
D. Cannot tell A. 0.23s
B. 1.33s
23. Find D if %OS=20% and settling time is C. 1.67s
2s for an input of step torque. D. 7.2s
A. 0.26
B. 1.04 29. A series RL network has an applied
C. 1.02 voltage v(t). Find the time constant of
D. 0.46 the circuit current i(t), if R=1 ohm and
L=0.5 ohm.
24. What is the time constant a first order
system has G(s)=10/(s+4)?
A. 0.2s
B. 0.1s
C. 0.5s
 A. 1.1 sec 20(𝑠+1)
𝐺 (𝑠 ) = and a ramp
B. 0.5 sec (𝑠+3)(𝑠 2 )(𝑠+4)
C. 2 sec input is
D. 1 sec A. 0
B. 0.6
C. Infinity
30. Given the transfer function D. 0.545
G(s)=225/(𝑠2 + 32𝑠 + 256). Find the
%OS. 3. Which of the following sentences states
A. 15.45
the condition for an even polynomial?
B. 28.38 A. The roots are on LHP
C. 4.48
B. The roots are on RHP
D. 14.48 C. The roots are symmetrical with
the origin
31. A negative feedback system has a D. All of these
forward transfer function 1/(s+1) and
feedback transfer function s+1. Obtain 4. The forward transfer function of a unity
the time constant of the overall transfer feedback system is 𝐺 (𝑠) =
𝐾
function. . Determine the value
(𝑠+1)(𝑠 2 −6𝑠+25)
A. 1 sec
of K that will cause the system to be
B. 2 sec
marginally stable.
C. 0.25 sec
A. 192
D. 0.5 sec
B. 217
C. 25
D. 515.7
QUIZ # 4

1. Given: A unity feedback system with a 5. The proportional error constant of a

forward transfer function shown below, unity negative feedback system given
identify the number of poles in the RHP, the open-loop transfer function
200
LHP, and jw. is ____.
𝑠 2 +12𝑠+400
A. Zero
B. Infinity
C. 2
A. 2jw 2HP 3LHP D. 0.5
B. 4jw 3LHP
C. 3RHP 4LHP 6. A system has Ka=3. What steady state
D. 4RHP, 3LHP error can be expected from an input of
10tu(t)
2. The steady-state error of a unity A. Infinity
negative feedback system given the B. 3.33
open-loop transfer function C. 0
D. 2
7. For the system shown, find the steady 11. A unity feedback system with a forward
state error for an input 50u(t). transfer function 𝐺 (𝑠) =
20(𝑠+1)
is ____.
(𝑠+3)(𝑠 2 )(𝑠+4)
A. Type 0
B. Type 2
C. Type 1

A. 37.5
B. 16.67 12. A negative unity feedback system, with
C. Unstable a forward transfer function 𝐺 (𝑠) =
D. 0.75 𝐾
, is to have a steady-state error
𝑠(𝑠+𝑎)
8. A marginally stable system has an even of 0.01. The natural frequency of the
polynomial 3.2s^2+38.4. What is the close-loop system is 5 rad/sec. Find
frequency of oscillation? function K and a.
A. 3.46 rad/s A. K=100, a=1
B. 12 rad/s B. K=10, a=100
C. 9.60 rad/s C. K=0.25, a=25
D. 6.20 rad/s D. K=25, a=0.25

9. For a negative unity feedback system 13. The system below is

with a forward transfer
5000
function𝐺 (𝑠) = , find the
𝑠(𝑠+75)
steady state error for an input 5tu(t).
A. 0
B. 66.67 A. Marginally stable
C. 0.075 B. Stable
D. Infinity C. Unstable

10. For the system below, find the finite 14. Given the denominator polynomial of
steady state error. the overall transfer function of a
system: s4+10s3+5s2+5s+2. Determine
number of RHP, LHP and jw poles.
A. 4LHP, 0RHP, 0jw
B. 2LHP, 0RHP, 2jw
C. 2LHP, 2RHP, 0jw
D. None of these
A. 0.65
B. 0.5
15. A system has Kp=3. What steady-state
C. 1
error can be expected from an input of
D. 0.75
8u(t).
A. 2.67
 B. 0.33 20. It is the fractional change in the
C. 0 function cause by the fractional change
D. 2 in a parameter.
A. System type
16. For a negative unity feedback system B. Gain margin
with a forward transfer function. C. Phase margin
450(𝑠+12)(𝑠+8)(𝑠+15) D. Sensitivity
𝐺 (𝑠 ) = , find
𝑠(𝑠+38)(𝑠 2 +2𝑠+28)
the steady state error for an input
37tu(t). QUIZ # 5
A. 0.057 1. It is the controller that will improve the
B. 16.46 transient response
C. 6.075X10-2 a. P
D. 0 b. I
c. D
17. A linearly increasing response results if d. On/Off
input is ____.
A. Impulse 2. Continuous control is often called ___
B. Step control
C. Ramp a. Slow
D. Parabolic b. Modulating
c. On/Off
18. Find K for a steady state error of 0.5. d. None of these

3. The PI mode of control is the best mode

of control
a. True
b. False
A. 0.5
B. 0 4. The Nyquist diagram is a polar plot of
C. 2 the ___ transfer function feedback
D. 1 system
a. Open-loop
19. For a negative unity feedback system b. Closed-loop
with a forward transfer function c. Poles
500
𝐺 (𝑠 ) = find the d. Sinusoidal Function
(𝑠+20)(𝑠 2 +4𝑠+10)
steady state error for an input 40u(t).
5. It increase the steady state accuracy
A. 11.43
a. Integrator
B. 2.5
b. Differentiator
C. 16
c. Phase lead compensator
D. INFINITY
d. On/Off
6. Which of the following is exhibited by a. Reference input
root locus diagram? b. Command
a. The poles of the transfer function c. Control element
for a set of parameter values d. Disturbance ***
b. The bandwidth of the system
c. The response of a system to a step 12. A proportional controller ___ the steady
input state error
d. The frequency response of a system a. Eliminates
Not sure b. Increase
c. Reduces
7. A system with gain margin close to d. Oscillates
unity or a phase margin close to 180° is
a. Relatively stable 13. Frequency response plotted as a
b. Highly stable separate magnitude and phase vs log
c. Oscillatory frequency scale is also known as ___.
d. Unstable a. PZ map
Not sure b. Nyquist plot
c. Bode plot
8. Which of the following is the best d. Root locus
method for determining both stability
and transient response? 14. A system with gain margin close to
a. Routh Hurwitz unity or a phase margin close to 180°
b. Bode plot a. Relatively stable
c. Nyquist plot b. Highly stable
d. Root locus c. Oscillatory
d. Unstable
9. The combination of magnitude
frequency response and phase 15. The controller that can eliminate forced
frequency response oscillation caused by the use of on/off
a. Transfer function controller
b. Frequency response a. I
c. Poles b. P
d. Sinusoidal function c. D
d. None of these
10. In the formula Z = P – N, N is the ___ 16. Based on the Nyquist stability criterion,
a. Number of closed loop RHP poles the system is stable if Z = ___.
b. …… a. Greater than 0
c. Number of counter clockwise b. Infinity
revolution around -1 c. 0
d. None of these d. Any of these

11. A signal other than the reference input 17. The frequency response of a system
that tends to affect the value of expressed as a separate magnitude and
controlled variable is known as phase plot is also known as the ___.
 a. Step response
b. Nyquist plot 24. The only mode that is not continuous is
c. PZ map On/Off Control.
d. Bode plot
25. The border of stability for systems that
18. A control mode that will give the best lie on the LHP is the
control
a. P
b. PI
c. PID
d. On/Off
FINAL EXAMINATION
19. It refers to the reaction of the controller 1. A gear system has a drive gear with N1
to the error = 60, and a driven gear with N2 = 30. If
a. Frequency response the angular displacement at the drive
b. Settling time gear ϴ1(s) is reflected to the driven
c. Mode gear, what is the angular displacement
d. Offset at the driven gear?
A. ϴ1(s)
B. 0.5 ϴ1(s)
20. It is the amount that the gain of a
C. 2 ϴ1(s)
system can be increased before
D. 4 ϴ1(s)
instability occurs if the angle is constant
at 180°. 2. Find the location of the second-order
a. Phase margin pair of poles with %OS = 15%; Tp = 5
b. Gain margin seconds.
c. Bode margin A. -0.3794 + -j0.6283
d. Nyquist criterion B. -0.4605 + -j0.6283
C. 0.4605 + -j0.6283
21. The frequency where phase crosses D. -0.6283 + -j0.3794
180° is called the ___.
a. Gain crossover 3. How many points of motion does the
b. Slow response system shown have?
c. Phase crossover
d. Phase margin

22. A graphical presentation of the closed

loop poles as gain K is varied. A.
a. PZ plot B. 2
b. Nyquist plot C. 1
c. Root locus D. 3
d. Bode plot
4. For a certain motor and load system the
23. Derivative mode of control decrease torque-speed curve is given by Tm = -
the settling time. 8wm + 200 at 50V. Determine the
constant Kt/Ra.
 A. 4 v(t). What is the transfer function
B. 0.25 I(s)/V(s)?
C. 8 A. 4/(s+8)
D. 2 B. 8/(s+4)
C. 2/(s+2)
5. The proportional error constant of a D. 4/(s+4)
negative unity feedback system given
the open-loop transfer function G(s) = 10. For an error constant Kp = 9, what is the
100/(s^2 + 12s + 400) is ___. value of the steady state error?
A. Zero A. 0.2
B. Infinity B. 0.1
C. 0.25 C. 0
D. 0.8 D. Infinity

6. Determine the damped frequency of 11.

oscillation.

A. 4.15 rad/s
B. 1.67 rad/s
C. √20 rad/s
D. 8.15 rad/s D.

7. Given the unity feedback system, with 12. A system has a transfer function, G(s) =
forward transfer function G(s) = (K(s+4)) 10/(s+10). Find the time constant and
/ (s(s+1.2)(s+2)), determine the value of settling time.
K that makes the system oscillate. A. Tc = 0.01s, Ts = 0.4s
A. K = 9.0 B. Tc = 0.1s, Ts = 0.44s
B. K = 9.6 C. Tc = 10s, Ts = 4s
C. K = 10.0 D. Tc = 0.1s, Ts = 0.4s
D. No value of K will make the
system oscillate. 13. A gear system has a drive gear with N1
= 12 and a driven gear with N2 = 30. A
8. The _____ of a second-order system is rotational viscous damper, 24 N-m-
the frequency of oscillation of the s/rad, is at the driven gear. If reflected
system without damping. to the drive gear, what is its equivalent
A. Damped frequency of impedance?
oscillation A. 9.6s
B. Natural frequency B. 3.84s
C. Exponential frequency C. 150s
D. None of the above D. 60s

9. An RL series network has R = 2 ohms, L 14. The impedance of 2 Farad is …

= 0.25 Henry and an applied voltage A. 0.5/s
 B. 5/s
C. 0.2s
D. 4s A. 1/G1
B. G1
15. How many points of motion does the C. H1
system shown have? D. 1/G2

20. The steady-state error of a unity

negative feedback system given the
open-loop transfer function G(s) =
A. 2 20(s+1)/((s+3)(s+4)s^2) and a ramp
16. input is
A. 0.6
B. INFINITY
C. 0.545
D. ZERO

21. In order for a system to be Marginally

Stable, it should have no RHP poles and
A. jw poles of Unit multiciplity
B. None of the above
17. A Series R-L-C combination circuit C. Multiple jw poles
having a resistance 3 ohms, capacitance D. No jw poles
33 uF and inductance 1H. Find the
transfer function Vc(s)/V(s). 22. A negative unity feedback system, with
A. 30.303/(s^2+3s+30.303) a forward transfer function G(s) =
B. 30.033/(s^2+0.3s+30.033) K/(s(s+a)) is to have a steady state error
C. 33.303/(s^2+30s+33.303) of 0.01. The natural frequency of the
D. 30/(s^2+30s+33.303) closed-loop system is 5 rad/sec. Find K
and a.
18. For the unity feedback system of A. K=10 a=100
forward trasnfer functions G(s) = B. K=25 a=0.25
(K(s+6))/(s(s+1)(s+4)), determine the C. K=0.25 a=25
range of K to ensure stability. D. K=100 a=1
A. 0 < K < 4
B. 0 < K < 20 23. A system has Ka=3. What steady state
C. 0 < K < 24 error can be expected from an input of
D. 0 < K < 10 10tu(t).
E. A. 0
19. If G1 is moved to the left of take-off B. Infinity
points “x”, G2 will be in parallel with C. 2
____ D. 3.33
24. A number of sign changer in the first
column of a Routh Table tells the
27. Find the inverse Laplace of F(s) =
number of poles at ___.
2/((s+1)(s+2))
A. jw
A. (4e^(-t)-4e^(-2t))u(t))
B. RHP
B. (4e^(-t)+4e^(-2t))u(t))
C. LHP
C. (2e^(-t)-2e^(-2t))u(t))
D. All of the above
D. (2e^(-t)+2e^(-2t))u(t)
25. Given the signal flow graph, determine
28. Find the closed loop transfer function.
the overall transfer function.

A. 2/3
B. 1.5s
C. 2
D. s/(2s+1)

29. For a negative unity feedback system

with a forward transfer function G(s) =
5/(s(s+2)), find the output c(t) for a step
input.
A. c(t)=te^-t (cos2t+0.5sin2t)
26. Consider a system represented by the B. c(t)=1-e^-t (cos2t+0.5sin2t)
block diagram. C. c(t)=e^-t (cos2t+0.5sin2t)
D. c(t)=1+e^-t (cos2t+0.5sin2t)

30. For a negative unity feedback system

with a forward transfer function G(s) =
5000/(s(s+75)), find the steady state
error of an input 5tu(t).
A. 0
B. 0.075
C. Infinity
D. 66.67

31. In mechanical systems, the number of

equations of motion required is equal
to the number of ____.
A. Linearly related motions
 B. Linearly independent 37. Find the closed loop transfer function.
motions
C. Linearly dependent motions
D. None of the choices

32. For a negative unity feedback system

with a forward transfer function
G(s)=450(s+12)(s+8)(s+15)/((s(s+38)(s^2
+2s+28)), find the steady state error for
an input 50tu(t).
A. 0
B. 0.082
C. 16.46
D. 0.061

33. Even polynomials have roots that are

38. Reference input signal r plus or minus
symmertrical with the ____.
the primary feedback signal b.
A. Y axis
A. Controlled Output
B. X axis
B. Actuating signal
C. Z axis
C. Control Signal
D. Origin
D. Reference Input
34. Find the Laplace Transform of f(t) =
39. A gear system has a drive gear with N1
te^(-5t).
= 12 and a driven gear with N2 = 30. If a
A. F(s) = 1/(s+5)^2
torque T(s) is applied at the drive gear,
B. F(s) = 5/(s+5)^2
what is the torque at the driven gear?
C. F(s) = 1/(s-5)^2
A. 0.16T(s)
D. F(s) = 5/(s-5)^2
B. 2.5T(s)
C. 0.4T(s)
35. What type of system with static error of
D. 6.25T(s)
Kp = INFINITY, Kv = Constant and Ka =
0?
40. The system shown has M=2Kg, K=1N/m,
A. Type 0
and fv=2N-s/m. Determine the transfer
B. Type 1
function X(s)/F(s).
C. Type 2

36. Which of the following is included in the

main criteria of a control system's
performance?
A. SENSITIVITY
A. 2/(s^2+s+1)
B. cost
B. 1/(s^2+s+0.5)
C. appearance
C. 2/(s^2+s+0.5)
D. transient response
D. 0.5/(s^2+s+0.5)
41. For a non-inverting op-amp, what is 46. Find the torque reflected to N4.
Vo(s)/Vi(s)?
A. –Z2/Z1
B. (Z1+Z2)/Z2
C. (Z1+Z2)/Z1
D. –Z1/Z2

42. How many points of motions does the

system shown have?
A. 16T(s)
B. 9T(s)
C. 4T(s)
D. 0.25T(s)

47. Find the steady state error for a step

input.
A. 2
A. 0.75
B. 1
B. 1.333
C. 3
D. 4
48. The impedance of a mechanical
component 2N/m is ____.
43. For a negative unity feedback system
A. 2s^2
with a forward transfer functions G(s) =
B. 0.5
500/((s+20)(s^2+4s+10)), find the
C. 2s
steady state error for an input 40u(t).
D. 2
A. 11.43
B. 16
49. What mathematical model permits easy
C. Infinity
interconnection of physical systems?
D. 2.5
A. Linear time-invariant
B. Free body diagram
44. The response of a second order system
C. Transfer function
which is marginally stable is also called
D. None of the choices
_____ response.
A. Undamped
50. For the circuit shown, R1=10K ohms,
B. Underdamped
C1=0.2mF, R2=500K ohms, C2=2uF.
C. Critically damped
Determine the transfer function
D. Overdamped
Vo(s)/Vi(s).
45. Mass in force-voltage analogy, is
analogous to
A. Inductance
B. Capacitance
C. Current
D. Resistance
 55. A graphical presentation of the closed
loop poles as gain “K” is varied.
A. PZ plot
A. (s^2+51.5s+0.5)/(s^2+1.5s+ B. Root locus
0.5) C. Bode plot
B. (s^2+13s+1)/(2s^2+s+1) D. Nyquist plot
C. (2s^2+103s+1)/(s^2+1.5s+0.
5) 56. Means the summing point is a
D. (s^2+51.5s+0.5)/(2s^2+3s+1 subtracted.
) A. Primary Feedback Signal
B. Positive Feedback
51. For a unity feedback system with C. Negative Feedback
forward transfer function D. Forward Path
G(s)=(K(s+4))/(s(s+1.2)(s+2)), find the
value of K that makes the system 57. Continuous control is often called ____
oscillate. control.
A. K = 7.2 A. Slow
B. K = 1.44 B. Fast
C. K = 2.4 C. On/Off
D. K = 9.6 D. Modulating

52. For a negative unity feedback system

with a forward transfer function 58. Consider the system T(s) = 5/(s+5), what
G(s)=K/(s(s+a)), find K and a to yield a is the rise time?
settling time of 0.30 second and a 25% A. 0.48
overshoot. B. 0.44
A. K = 1091, a = 53.33 C. 0.50
B. K = 5549, a = 53.33 D. 0.52
C. K = 1091, a = 26.67
D. K = 5549, a = 26.67 59. It increases the steady state accuracy.
A. Phase lead lag
53. The border of stability for systems that B. On/off
lie on the LHP is the ____. C. I
A. RHP D. D
B. jw axis
C. LHP 60. The _____ of a second-order system is
D. Real axis the frequency of oscillation of the
system without damping.
54. Overdamped response has ____ poles. A. Damped frequency of
A. Imaginary oscillation
B. Real and distinct B. Natural Frequency
C. Complex C. Exponential frequency
D. Real and repeated D. None of the above
61. For a negative unity feedback system the left half-plane, and on the jw axis?
with a forward transfer function P(s) = s^5+3s^4+5s^3+4s^2+s+3
G(s)=225/(s(s+15)), find the peak time. A. 2 RHP, 3 LHP
A. Tp = 0.121 B. 3 RHP, 2 LHP
B. Tp = 0.242 C. 1 RHP, 4 LHP
C. Tp = 0.343 D. 4 RHP, 4 LHP
D. Tp = 0.454

62. Evaluate system type and find Kp, Kv,

and Ka if the forward transfer function
of a unity feedback system is G(s)=
(5(s+4))/((s+5)(s+10))
A. Type 1, Kp =0, Kv= 0.4, and
Ka= 0
B. Type 2. Kp = 0, Kv= 0, and
Ka= 0.4
C. C. Type 0, Kp = 0.4, Kv=
infinity, and Ka= infinity
D. D. Type 0, Kp = 0.4, Kv= 0,
and Ka= 0

63. An arrangement of physical

components connected or related in
such a manner as to command, direct,
or regulate itself or another system.
A. Path
B. Circuit
C. System
D. Control System

36. “Edward John Routh extended the

stability systems” refers to ____.
A. Stability Criterion for a Second-
order System
B. B. Stability Criterion for a Third-
order System
C. C. Stability Criterion for a
Fourth-order System
D. D. Stability Criterion for a Fifth-
order System

64. How many roots of the following

polynomial are in the right half-plane, in