2251 COURSE TITLE COURSE CODE TIME ALLOWED UNIVERSITY OF ABUJA FACULTY OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING FIRST SEMESTER EXAMINATION 2023/2024 SESSION CONTROL THEORY I KEE 313 TWO HOURS (2 HRS) INSTRUCTIONS: ANSWER ANY FOUR (O QUESTIONS (ALL QUESTIONS ARE ALLOTTED EQUAL MARKS EACH) Question 1 [25 Marks) Consider the control system in Figure 1. Assume the initial conditions to be zero. [a] What is the input-output relationship? [3 marks] [b] What is the unit-step response of the system? [5 marks) [c] Using a unit-ramp response, what is the error signal? [7 marks] [d] Draw the unit-impulse response curve of the system, for t≥0. [10 marks] P() CU) Figure 1 Control system Question 2125 Marks) [a].Given a system with transfer function CLO when is the system said to be R(S) Underdamped [2 marks] ii. Critically damped [2 marks] Overdamped [2 marks] [b] With the help of a diagram, define Delay time [2 marks] L ii. Rise time [2 marks] 111. Peak time [2 marks] iv. V. Settling time [2 marks] Maximum overshoot [2 marks [Note: the diagram carries 9 marks] Question 3 [25 marks] Consider the system shown in Figure 2. R() C(s) K 3(3²+3+1)(x+2) Figure 2 Control system 12:34 AM P "(-) | | 16,456 Suleiman Umar. De Stu... January 9, 4:09 PM K/S [a] What is Routh's stability criterion [3 marks] [b] What is the transfer function? [5 marks] (e) Find the Routh's array [10 marks] [d] Determine the range of K for stability [4 marks] (e) Determine the value of K that will make the system oscillatory [3 marks] Question 4 (25 marks] [a] What is the procedure in Routh's stability criterion? [6 marks] [b] What is the Routh's array of the equation: s5 + 2s + 24s + 48s2-25s-50-0[12 marks] [c] What is the Routh's array of the equation: s³-3s+2=0[7 marks] Question 5 125 marks] [a] Explain five (5) tasks of a control Engineer [10 marks] [b] Simplify the system in Figure 3 and derive the transfer function [15 marks] (1545) Ch -S12.54 ? +25°+15° + 144 5 1.3 1210 G H₁ H₂ G₂ G Figure 3 Block diagram of a control system 314 Yo 780321-21 5/ 14-5k S 14-116 3 k 20 14-9 > 0 26 C 723 G 00 -T = J F kx1-15 о 36 14-9 n 4-4-0 -9k K = Reply
2251 COURSE TITLE COURSE CODE TIME ALLOWED UNIVERSITY OF ABUJA FACULTY OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING FIRST SEMESTER EXAMINATION 2023/2024 SESSION CONTROL THEORY I KEE 313 TWO HOURS (2 HRS) INSTRUCTIONS: ANSWER ANY FOUR (O QUESTIONS (ALL QUESTIONS ARE ALLOTTED EQUAL MARKS EACH) Question 1 [25 Marks) Consider the control system in Figure 1. Assume the initial conditions to be zero. [a] What is the input-output relationship? [3 marks] [b] What is the unit-step response of the system? [5 marks) [c] Using a unit-ramp response, what is the error signal? [7 marks] [d] Draw the unit-impulse response curve of the system, for t≥0. [10 marks] P() CU) Figure 1 Control system Question 2125 Marks) [a].Given a system with transfer function CLO when is the system said to be R(S) Underdamped [2 marks] ii. Critically damped [2 marks] Overdamped [2 marks] [b] With the help of a diagram, define Delay time [2 marks] L ii. Rise time [2 marks] 111. Peak time [2 marks] iv. V. Settling time [2 marks] Maximum overshoot [2 marks [Note: the diagram carries 9 marks] Question 3 [25 marks] Consider the system shown in Figure 2. R() C(s) K 3(3²+3+1)(x+2) Figure 2 Control system 12:34 AM P "(-) | | 16,456 Suleiman Umar. De Stu... January 9, 4:09 PM K/S [a] What is Routh's stability criterion [3 marks] [b] What is the transfer function? [5 marks] (e) Find the Routh's array [10 marks] [d] Determine the range of K for stability [4 marks] (e) Determine the value of K that will make the system oscillatory [3 marks] Question 4 (25 marks] [a] What is the procedure in Routh's stability criterion? [6 marks] [b] What is the Routh's array of the equation: s5 + 2s + 24s + 48s2-25s-50-0[12 marks] [c] What is the Routh's array of the equation: s³-3s+2=0[7 marks] Question 5 125 marks] [a] Explain five (5) tasks of a control Engineer [10 marks] [b] Simplify the system in Figure 3 and derive the transfer function [15 marks] (1545) Ch -S12.54 ? +25°+15° + 144 5 1.3 1210 G H₁ H₂ G₂ G Figure 3 Block diagram of a control system 314 Yo 780321-21 5/ 14-5k S 14-116 3 k 20 14-9 > 0 26 C 723 G 00 -T = J F kx1-15 о 36 14-9 n 4-4-0 -9k K = Reply
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Solve completely question 3 and 5
![2251
COURSE TITLE
COURSE CODE
TIME ALLOWED
UNIVERSITY OF ABUJA
FACULTY OF ENGINEERING
DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
FIRST SEMESTER EXAMINATION 2023/2024 SESSION
CONTROL THEORY I
KEE 313
TWO HOURS (2 HRS)
INSTRUCTIONS: ANSWER ANY FOUR (O QUESTIONS (ALL QUESTIONS ARE ALLOTTED EQUAL MARKS EACH)
Question 1 [25 Marks)
Consider the control system in Figure 1. Assume the initial conditions to be zero.
[a] What is the input-output relationship? [3 marks]
[b] What is the unit-step response of the system? [5 marks)
[c] Using a unit-ramp response, what is the error signal? [7 marks]
[d] Draw the unit-impulse response curve of the system, for t≥0. [10 marks]
P()
CU)
Figure 1 Control system
Question 2125 Marks)
[a].Given a system with transfer function
CLO
when is the system said to be
R(S)
Underdamped [2 marks]
ii. Critically damped [2 marks]
Overdamped [2 marks]
[b] With the help of a diagram, define
Delay time [2 marks]
L
ii.
Rise time [2 marks]
111.
Peak time [2 marks]
iv.
V.
Settling time [2 marks]
Maximum overshoot [2 marks
[Note: the diagram carries 9 marks]
Question 3 [25 marks]
Consider the system shown in Figure 2.
R()
C(s)
K
3(3²+3+1)(x+2)
Figure 2 Control system](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a3f2dd1-7c4f-43da-82ef-c1a2f5c04ed9%2F208da93e-5c01-4c3e-b922-65c971b3fe93%2F1weq4tm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2251
COURSE TITLE
COURSE CODE
TIME ALLOWED
UNIVERSITY OF ABUJA
FACULTY OF ENGINEERING
DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
FIRST SEMESTER EXAMINATION 2023/2024 SESSION
CONTROL THEORY I
KEE 313
TWO HOURS (2 HRS)
INSTRUCTIONS: ANSWER ANY FOUR (O QUESTIONS (ALL QUESTIONS ARE ALLOTTED EQUAL MARKS EACH)
Question 1 [25 Marks)
Consider the control system in Figure 1. Assume the initial conditions to be zero.
[a] What is the input-output relationship? [3 marks]
[b] What is the unit-step response of the system? [5 marks)
[c] Using a unit-ramp response, what is the error signal? [7 marks]
[d] Draw the unit-impulse response curve of the system, for t≥0. [10 marks]
P()
CU)
Figure 1 Control system
Question 2125 Marks)
[a].Given a system with transfer function
CLO
when is the system said to be
R(S)
Underdamped [2 marks]
ii. Critically damped [2 marks]
Overdamped [2 marks]
[b] With the help of a diagram, define
Delay time [2 marks]
L
ii.
Rise time [2 marks]
111.
Peak time [2 marks]
iv.
V.
Settling time [2 marks]
Maximum overshoot [2 marks
[Note: the diagram carries 9 marks]
Question 3 [25 marks]
Consider the system shown in Figure 2.
R()
C(s)
K
3(3²+3+1)(x+2)
Figure 2 Control system
![12:34 AM P
"(-) | | 16,456
Suleiman Umar. De Stu...
January 9, 4:09 PM
K/S
[a] What is Routh's stability criterion [3 marks]
[b] What is the transfer function? [5 marks]
(e) Find the Routh's array [10 marks]
[d] Determine the range of K for stability [4 marks]
(e) Determine the value of K that will make the system oscillatory [3 marks]
Question 4 (25 marks]
[a] What is the procedure in Routh's stability criterion? [6 marks]
[b] What is the Routh's array of the equation: s5 + 2s + 24s + 48s2-25s-50-0[12 marks]
[c] What is the Routh's array of the equation: s³-3s+2=0[7 marks]
Question 5 125 marks]
[a] Explain five (5) tasks of a control Engineer [10 marks]
[b] Simplify the system in Figure 3 and derive the transfer function [15 marks]
(1545) Ch
-S12.54 ? +25°+15° +
144 5 1.3 1210
G
H₁
H₂
G₂
G
Figure 3 Block diagram of a control system
314
Yo
780321-21
5/
14-5k
S
14-116
3 k
20
14-9
> 0
26 C
723
G
00
-T
=
J
F
kx1-15
о
36
14-9
n
4-4-0
-9k
K =
Reply](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a3f2dd1-7c4f-43da-82ef-c1a2f5c04ed9%2F208da93e-5c01-4c3e-b922-65c971b3fe93%2Fu1bxaq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12:34 AM P
"(-) | | 16,456
Suleiman Umar. De Stu...
January 9, 4:09 PM
K/S
[a] What is Routh's stability criterion [3 marks]
[b] What is the transfer function? [5 marks]
(e) Find the Routh's array [10 marks]
[d] Determine the range of K for stability [4 marks]
(e) Determine the value of K that will make the system oscillatory [3 marks]
Question 4 (25 marks]
[a] What is the procedure in Routh's stability criterion? [6 marks]
[b] What is the Routh's array of the equation: s5 + 2s + 24s + 48s2-25s-50-0[12 marks]
[c] What is the Routh's array of the equation: s³-3s+2=0[7 marks]
Question 5 125 marks]
[a] Explain five (5) tasks of a control Engineer [10 marks]
[b] Simplify the system in Figure 3 and derive the transfer function [15 marks]
(1545) Ch
-S12.54 ? +25°+15° +
144 5 1.3 1210
G
H₁
H₂
G₂
G
Figure 3 Block diagram of a control system
314
Yo
780321-21
5/
14-5k
S
14-116
3 k
20
14-9
> 0
26 C
723
G
00
-T
=
J
F
kx1-15
о
36
14-9
n
4-4-0
-9k
K =
Reply
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