Lecture 19 (emily Flashcards
1
Q
Ok look if they give you a question with K what do you do?
A
find A-BK then find eigen values of it and then can find k
2
Q
What is another method for choosing K
A
Karman filter
3
Q
What is observability in state space?
A
can a systems states be reconstructed from just its inputs and outputs
4
Q
How do you prove a systems observability ?
A
construct the Q matrix = [ C CA CA^2 …] ( needs to be square) needs to be full rank, i.e. det != 0
5
Q
What is controllability in state space?
A
if can can get to any desired point just need the correct input
6
Q
How do you prove a systems controllability?
A
construct the Q matrix = [ B AB A^2B…] needs to be full rank, i.e. det != 0
