The following table shows the lecture topics and the corresponding sections
of the text. This schedule will be updated as the semester progresses, so it's a good idea to check the webpage
periodically. In the lectures the major concepts will be developed: you should know how each concept is
derived, why it is important, and how it is used in problem solving. The text supplements the lectures
by showing numerous examples and real applications. As such, the text is not meant as a primary source
of concept learning, and attendance at lectures is essential. Note that topics will be covered
which do not appear in either the text or the course notes.
| Week |
Lecture |
Topics |
Sections of Text |
| 1 |
1 |
Introduction: what is a control system |
1.1 - 1.3, 1.8 |
| |
2 |
ODE's and state equations |
|
| |
3 |
State equations and examples |
|
| 2 |
4 |
Nonlinear systems and linearization |
3.1 - 3.3, linearization.pdf |
| |
5 |
Laplace transform review |
|
| |
6 |
Laplace transform review |
|
| 3 |
7 |
Transfer functions, TF <--> SS |
2.4 - 2.5, 3.6 |
| |
8 |
Block diagrams and interconnections |
|
| |
9 |
Time response: derivation in state space |
|
| 4 |
10 |
Computing e^At |
3.7, 5.1 - 5.3 |
| |
11 |
Second-order systems |
|
| |
12 |
Performance specifications |
|
| 5 |
13 |
Stability of LTI systems: asymptotic stability |
6.1, 6.4 |
| |
14 |
Stability of LTI systems: BIBO stability |
|
| |
15 |
Open-loop v.s. closed-loop |
|
| 6 |
16 |
Open-loop v.s. closed-loop |
4.1 - 4.7, 6.2 |
| |
17 |
Routh criterion |
|
| |
18 |
Routh criterion, P control design |
|
| |
|
Reading Week |
|
| 7 |
19 |
Steady-state error and system type |
6.5, 7.6, 9.1 - 9.3 |
| |
20 |
Nyquist stability criterion |
|
| |
21 |
Nyquist stability criterion |
|
| 8 |
22 |
Nyquist stability criterion |
8.1 - 8.5 |
| |
23 |
Frequency response and Bode plots |
|
| |
24 |
Bode plots |
|
| 9 |
25 |
Bode plots |
10.4, 10.8 |
| |
26 |
Lag design |
|
| |
27 |
Lead design |
|
| 10 |
28 |
Applications: power systems and analog electronics |
11.3 |
| |
29 |
Pole placement: basics |
|
| |
30 |
Pole placement: applications |
|
| 11 |
31 |
Exact tracking problem |
|
| |
32 |
Exact tracking problem |
|
| |
33 |
Asymptotic tracking problem |
|
| 12 |
34 |
Robust tracking problem |
11.8 |
| |
35 |
Internal model principle |
|
| |
36 |
Robust tracking problem: applications |
|
| 13 |
37 |
Review |
|
| |
38 |
Review |
|
| |
39 |
Review |
|
| Section |
TA |
Day and Time |
Location |
Tutorial Dates |
| TUT 01
| John
| Wed 12-14
| BA2195
| Jan 13, Jan 27, Feb 10, Mar 3, Mar 17, Mar 31
|
| TUT 02
| Helwa
| Tue 16-18
| WB219
| Jan 12, Jan 26, Feb 9, Mar 2, Mar 16, Mar 30
|
| TUT 03
| John
| Thu 9-11
| GB412
| Jan 21, Feb 4, Feb 25, Mar 11, Mar 25, Apr 8
|
| TUT 04
| Helwa
| Tue 9-11
| BA2185
| Jan 19, Feb 2, Feb 23, Mar 9, Mar 23, Apr 6
|
There is one problem set per week. You are strongly urged to solve the problems by yourself. Solutions will be posted roughly one week after tutorial.
| Problem Set |
Topics |
Problems Solved in Tutorial |
Solutions |
Date Solution Posted |
| Problem set 1 |
Modeling, state equations |
1, 3 |
Solution 1 |
Jan 22 |
| Problem set 2 |
Linearization, Laplace transforms, solving ODEs |
1, 2.8, 2.9, 3.4, 3.8, 5.1 |
Solution 2 |
Jan 22 |
| Problem set 3 |
Transfer functions, state equations |
1, 3, 7 |
Solution 3 |
Feb 5 |
| Problem set 4 |
Solving e^At, time response, step response of 2nd order underdamped systems |
1, 2, 3, 4 |
Solution 4 
| Feb 5 |
| Problem set 5 |
Block diagram reduction, step response of 2nd order underdamped systems |
1, 3, 4 |
Solution 5 |
Feb 26 |
| Problem set 6 |
Stability, Routh-Hurwitz criterion |
1, 4, 5, 6 |
Solution 6 |
Feb 26 |
| Reading Week |
|
|
|
|
| Problem set 7 |
Steady-state error |
1, 2, 3, 8 |
Solution 7 |
Mar 12 |
| Problem set 8 |
Nyquist stability |
1(a), 1(c), 1(d), 2(a), 2(b) |
Solution 8 |
Mar 12 |
| Problem set 9 |
Bode plots, gain and phase margin |
1(c), 2, 3 |
Solution 9 |
Mar 26 |
| Problem set 10 |
Pole placement |
1, 2, 3 |
Solution 10 |
Mar 26 |
| Problem set 11 |
Robust regulator design |
1(a), 2(a), 2(b) |
Solution 11 |
Apr 1 |
There are two labs and they are performed in groups of two or three students. If you don't already have
lab partners among students in your lab session, the TAs will help you to form a group.
Both labs require a preparation and a report. The preparation is submitted at the beginning
of the lab. If you already have lab partners, your group can submit one preparation. The report is due one
week after your scheduled lab and it should be dropped in the box labelled "ECE311", box 10,
basement of Sandford Fleming.
There are no make-up labs. If you miss a lab you cannot show up at a different lab section.