ESE2021
Control Engineering
___________________________________________________________________________
Assignment 1 - Trimester 1, AY2025
Due : 2359 hr on Friday, 17 Oct 2025
___________________________________________________________________________
Instructions to students:
1.
This assignment comprises TWO (2) Questions printed on EIGHT (8)
pages including the cover page and working space.
2.
You must answer ALL the questions.
3.
All answers must be written in the space provided within this
Assignment Question Paper.
Name
(as in Student ID) :
Matriculation No. :
4.
When completed, you are to submit this assignment to SIT-2510ESE2021 in GradeScope.
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 1 of 8
QUESTION 1
Figures 1 shows the block diagram of a feedback control system.
Figure 1
(i)
Using block diagram reduction techniques to determine the closed loop transfer function
of the system shown in Figure 1. Show all intermediate steps in the reduction process,
including all diagrams and working.
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 2 of 8
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 3 of 8
(ii)
Using signal flow graphs and Mason’s gain formula to determine the closed loop transfer
function of the system shown in Figure 1. Show all nodes, path, path gain, loop, loop
gain, non−touching loop and forward path.
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 4 of 8
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 5 of 8
QUESTION 2
(a)
Figures 2 shows the block diagram of a feedback control systems.
Figure 2
Using Routh’s Stability Criterion, determine the range of values of 𝐾𝐾 for which the
system shown in Figure 2 is stable.
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 6 of 8
(b)
For each of the systems given below, state whether the system is stable or unstable and
describe the shape of the response to a step input.
G1 ( s ) =
s +1
,
( s + 3)( s + 4 )
Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
G2 ( s ) =
8
2
s − s − 30
G3 ( s ) =
s 2 + 5s + 6
s 2 − 4s + 5
Page 7 of 8
-- End of Assignment -Copyright © SIT
ESE2021 Assignment 1 – Trimester 1, AY2025
Page 8 of 8