The following table shows the lecture topics and the corresponding readings in the course notes.
Note that the lecture schedule may be updated as the semester progresses, so it's a
good idea to check the webpage periodically.
| Week |
Lecture |
Topics |
Sections of Course Notes |
Supplements |
| 1 |
1 |
Introduction, mathematical models of systems |
1, 2.1 - 2.3 |
|
| 2 |
2 |
ODE's and state models |
|
|
| |
3 |
State models |
|
|
| |
4 |
Nonlinear systems and linearization |
2.5 - 2.6 |
|
| 3 |
5 |
Laplace transform review |
|
|
| |
6 |
Laplace transform review |
|
|
| |
7 |
Transfer functions, TF <--> SS |
2.7, 3.1 |
|
| 4 |
8 |
Block diagrams and interconnections |
|
|
| |
9 |
Time response: derivation in state space |
|
|
| |
10 |
Computing e^At |
3.2 - 3.4 |
|
| 5 |
11 |
Second-order systems |
|
|
| |
12 |
Performance specifications |
|
|
| |
13 |
Logic notation |
3.5 - 3.6 |
|
| 6 |
14 |
Lyapunov stability |
|
|
| |
15 |
BIBO stability |
|
|
| |
16 |
Open-loop vs closed-loop |
4.1 |
|
| 7 |
17 |
Open-loop vs closed-loop |
|
|
| |
18 |
Open-loop vs closed-loop |
|
|
| |
19 |
Routh criterion, P control design |
|
|
| |
|
Reading Week |
|
|
| 8 |
20 |
Steady-state error |
4.2 |
Internal Model Principle |
| |
21 |
Principle of the argument |
4.3 |
|
| |
22 |
Principle of the argument |
|
|
| 9 |
23 |
Nyquist stability |
4.4 |
|
| |
24 |
Nyquist stability |
|
|
| |
25 |
Nyquist stability |
|
|
| 10 |
26 |
Nyquist stability |
|
|
| |
27 |
Design examples |
4.5 |
|
| |
28 |
Design examples |
|
|
| 11 |
29 |
Frequency response and Bode plots |
3.7, 4.6 |
|
| |
30 |
Bode plots |
|
|
| |
31 |
Bode plots |
|
|
| 12 |
32 |
Lag compensation |
5.1 - 5.2 |
|
| |
33 |
Lead compensation |
5.3 |
|
| |
34 |
Design examples |
|
|
| 13 |
35 |
Design examples |
|
|
| |
36 |
Introduction to pole placement |
|
|
| |
37 |
Applications of pole placement |
|
|
| 14 |
38 |
Review |
|
|
Homework problems will be worked out in tutorial. Solutions will be posted roughly one
week after the tutorial.
| Problem Set |
Problems in Course Notes |
Topics |
Solutions |
| Problem set 1 |
Ch1: 1, 2, 3, 4, 5, Ch2: 1, 2 |
Introduction, modeling, state equations |
Solution 1 |
| Problem set 2 |
Ch2: 3, 5, 6, 8 |
Linearization, Laplace transforms, solving ODEs |
Solution 2 |
| Problem set 3 |
Ch2: 11, 12, 13, |
Transfer functions, state equations |
Solution 3 |
| Problem set 4 |
Ch3: 1, 2, 3, 4 |
Solving e^At, time response
| Solution 4 |
| Problem set 5 |
|
Step response of 2nd order underdamped systems |
Solution 5 |
| Problem set 6 |
|
Block diagram reduction, step response of 2nd order underdamped systems |
Solution 6 |
| Problem set 7 |
Ch3: 5, 6, 7, 11, 13 |
Stability, Routh-Hurwitz criterion |
Solution 7 |
| Problem set 8 |
Ch3: 5, 6, 7, 11, 13 |
Stability, Review problems |
Solution 8 |
| Problem set 9 |
Ch4: 1, 2, 3, 5 |
Steady-state error |
Solution 9 |
| Problem set 10 |
Ch4: 8, 9, 10, 11 |
Nyquist stability |
Solution 10 |
| Problem set 11 |
Ch4: 12, 13 |
Bode plots, gain and phase margin |
Solution 11 |
| Problem set 12 |
|
Pole placement |
Solution 12 |
Labs take place in BA3114 and are performed in groups of two or
three students. The labs include a preparation and a report. Each student
submits one preparation at the beginning of the lab. The report is due one week after
your scheduled lab (one report per group), in a drop box labeled "ECE356", box #9, basement
of Sandford Fleming. There are no make-up labs. If you miss a lab you cannot show up at a
different lab section.
