When I took my first class in controls (2006-ish as taught by an aerospace professor for a mix of ME and EE students) it was basically all done in Laplace-transform, transfer functions etc.
More recently (2012) I took a graduate level controls class at a different school and it was almost all state-space. Really it was a bunch of abstract linear algebra proofs that happened to relate to observability and controllability. I chalked up the difference to the fact that it was for grad students who would be working on a more theoretical class of problems (almost no mention was made to relate this to any real system).
Now, from talking to undergrads at the same school, I'm given to understand that state-space is the way that control theory is currently taught. Laplace methods are briefly covered but quickly dismissed as out-dated.
I work in combustion and have no real idea what's going on.
- Is this an accurate indication of the way that controls is being taught these days?
- Either way, does that match with the state/foreseeable future of controls?
I'm also interested to know the merits of one method over the other.