SYSC 3600C Systems and Computer Engineering FINAL EXAM

FINAL

EXAMINATION

Fall 2020

DURATION: 3 HOURS No. Of Students: 200

Department Name & Course Number: Systems and Computer Engineering

SYSC 3600C

Course Instructor (s): Abdullah Kadri

AUTHORIZED MEMORANDA

Students MUST count the number of pages in this examination question paper before beginning to

write, and report any discrepancy to a proctor. This question paper has 9 pages + cover

page = __10 _ pages in all

This examination question paper may not be taken from the examination room.

In addition to this question paper, students require: an examination booklet no

Scantron Sheet no

Name:

Student Number:

Please read and follow these instructions carefully:

(1) Submit only ONE file.

(2) Please scan and add all hand-written solutions in the spaces provided on this examination

question paper.

(3) Images will not be accepted.

Question Value Score

1 25

2 25

3 25

4 25

Total 100

2

AK

Question 1 (25 marks)

Model the following dynamic system using energy state variable form. Clearly define the energy

storage devices and the associated state variables. Put each state equation in a box and number

them. Do not draw the simulation diagram. No need to put the state equations in matrix form.

3

AK

Question 1 (more work space)

4

AK

Question 2 (25 marks)

A dynamic system has the following transfer function. Find the unit step response.

𝑯(𝒔) =

𝟓𝟎 (𝒔𝟐 + 𝟏𝟎 𝒔 + 𝟑𝟒)

(𝒔 + 𝟖)(𝒔𝟐 + 𝟔 𝒔 + 𝟏𝟎)

Show and explain how one uses graphical methods to compute the partial fraction expansion.

Only graphical methods will be accepted. Use separate graph for each computed coefficient.

Write the solution only in the form shown in class. Draw the graphs to scale and measure the

amplitudes and phases using ruler and protractor.