Dynamic Systems and Control
Lecture Notes
This section contains selected lecture notes. The numbering of lectures differs slightly from that given in theCalendar section.
|
LEC # |
TOPICS |
LECTURE NOTES |
|
1 |
Introduction, linear algebra review |
(PDF) |
|
2 |
Least square estimation |
(PDF) |
|
3 |
Least square solutions of linear problems |
(PDF) |
|
4 |
Singular values |
(PDF) |
|
5 |
Matrix perturbations |
(PDF) |
|
6 |
Dynamical systems |
(PDF) |
|
7 |
State-space models |
(PDF) |
|
8 |
Solutions of state-space models |
(PDF) |
|
9 |
Transfer functions |
(PDF) |
|
12 |
I/O stability |
(PDF) |
|
13 |
I/O stability (cont.) |
(PDF) |
|
16 |
Bode's sensitivity integral |
(PDF) |
|
17 |
Robust stability |
(PDF) |
|
20 |
Reachability and observability |
(PDF) |
|
21 |
Minimal realizations |
(PDF) |
|
22 |
Balanced realization |
(PDF) |
|
23 |
Feedback stabilization |
(PDF) |
|
24 |
H2 optimization |
(PDF) |
|
25 |
H∞ optimization |
(PDF) |
Assignments
Exercises are taken from the course notes, which are available in the Readings section. Solutions to assignment 11 are not available.
|
ASSN # |
EXERCISES |
SOLUTIONS |
|
1 |
1.1, 1.2, 1.3(a)-(b), 1.6, and 1.8 |
(PDF) |
|
2 |
1.4, 2.2, 2.3, 2.8, and 3.1 |
(PDF) |
|
3 |
3.2, 3.3, 4.1, 4.5, and 4.6 |
(PDF) |
|
4 |
4.7, 4.8, 5.1, 5.2, 6.1, and 6.4 |
(PDF) |
|
5 |
7.2, 7.3, 10.1, 11.1, 11.3, 11.4, and 11.5 |
(PDF) |
|
6 |
13.1, 13.2, 14.2, 14.5, and 14.7 |
(PDF) |
|
7 |
All exercises from chapters 15 and 16, except 16.2 |
(PDF) |
|
8 |
17.4, 17.5, 19.2, 19.4, and 19.5 |
(PDF) |
|
9 |
21.1, 21.2, 21.3, 22.3, and 22.4 Hints for exercise 21.2 (PDF) |
(PDF) |
|
10 |
23.1, 23.4, 24.5, and 25.2 |
(PDF) |
|
11 |
25.5, 28.1, 29.1, and 29.5 |
|
Exams
|
EXAMS |
SOLUTIONS |
|
Midterm (PDF) |
(PDF) |
|
Final exam (PDF) |
|