date |
content of lecture |
content exercise |
lecture handouts,
exercise handouts
additional files |
solutions
|
Week 43 |
linear systems, norms, operators; stability |
. |
. |
. |
Week 44 |
passivity, dissipativity |
exercise 1 |
. |
sol. 1 |
Week 45 |
Kalman-Yakubovich-Popov Lemma |
exercise 2 |
. |
sol. 2 |
Week 46 |
introduction to LMIs (definition, combination of
LMIs, solving) |
. |
see Demo |
. |
Week 47 |
LMIs for analysis (stability, passivity, dissipativity) |
. |
. |
. |
Week 48 |
LMIs for analysis (robust stability). |
exercise 3 |
. |
sol. 3 |
Week 49 |
LMIs for synthesis (state feedback, output feedback). |
. |
. |
. |
Week 50 |
LMIs for synthesis (robust, pole placement). |
. |
. |
. |
Week 51 |
LMIs for synthesis (mixed objective, LPV, gain scheduling). |
. |
. |
. |
Week 1 |
mini project (exercise 4) |
exercise 4: LMI controller synthesis |
. |
sol. 4 |
Week 2 |
model reduction: introduction (problem, goals,
possibilities) |
exercise 4 (cont.) |
. |
. |
Week 3 |
model reduction: SVD (static, dynamic), balancing |
. |
. |
. |
Week 4 |
SVD-based: allpass dilation, bounds |
exercise 5: SVD,
balancing |
. |
sol. 5 |
Week 5 |
moment matching: Lanczos, Arnoldi |
. |
. |
. |
Week 6 |
wrap-up |
exercise 6: moment matching |
. |
. |