The following table shows the lecture topics.
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 |
1 |
1 |
Introduction to control systems; State equations |
2 |
2 |
TF to SS conversion; SS to TF conversion |
|
3 |
Linearization |
|
4 |
Properties of e^At |
3 |
5 |
Solution of xdot = A x; Computing e^At |
|
6 |
Computing e^At |
|
7 |
Modal decomposition; Phase portraits of second order systems |
4 |
8 |
Phase portraits of second order systems |
|
9 |
Stability of LTI systems |
|
10 |
Stability of LTI systems |
5 |
11 |
Linear algebra review |
|
12 |
Linear algebra review |
|
13 |
Linear algebra review |
6 |
14 |
Linear Algebra review |
|
15 |
Controllability: introduction |
|
16 |
Controllability: main result |
7 |
17 |
Controllability: properties |
|
18 |
Controllable decomposition |
|
19 |
Controllable canonical form |
8 |
20 |
Pole placement: single-input case |
|
21 |
Pole placement: multi-input case |
|
22 |
PBH test; Stabilizability |
9 |
23 |
Stabilization example; Observability |
|
24 |
Observability: main result |
|
25 |
Observable decomposition |
10 |
26 |
Observers; Stabilization by measurement feedback problem (SMFP) |
|
27 |
Separation principle |
|
28 |
SMFP example |
11 |
29 |
Optimal control: introduction |
|
30 |
Optimal control: dynamic programming principle |
|
31 |
Optimal control: derivation of controller |
12 |
32 |
Optimal control: examples |
|
33 |
Optimal control: examples |
|
34 |
Output regulation |
13 |
35 |
Output regulation |
|
36 |
Output regulation |
|
37 |
Output regulation |
14 |
38 |
Output regulation |
A selection of practice problems will be worked out in tutorial.
Solutions will be posted roughly one week after the tutorial.
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 "ECE557", box #15, basement
of Sandford Fleming. There are no make-up labs. If you miss a lab you cannot show up at a
different lab section.