2.004  Dynamics and Control II

Dear Class,
Just a reminder abour tomorrow's final: You're allowed 3 pages of crib sheets (so you can use the 2 you had at quiz 2 and write another one, for instance).
We don't mind if you type them, as long as you use a normal font.

Don't forget your calculators !!!

Best,
Sacha

Dear Class,
I've put a set of solutions online for the problems we covered in the review sessions.

For the very first problem, I mentioned on Friday that is's much faster to use the method that's in the solution to get the amplitude/phase for large transfer functions, rather that expanding it, multiplying it by the complex-conjugate etc...

Just to clarify some questions that were asked about the contents: this is the final exam, so everything we covered in class is fair game (except what we saw at the very end about heat transfer, since you had no pset to practice on). Of course, there might be some emphasis on subjcts we covered later in the term such as freq. response and root loci, but it would be a big mistake, in my opinion, not to review what we did about modeling, or even basics about how to solve a 1st and 2nd order differential equations with constant coefficients.

Best,
Sacha

Dear Class,
I'll be giving a review session, mostly on material that has been covered recently on the following dates:
-Tomorrow (Thursday) 7:30pm-9:30pm Room 1-115 (i.e. our regular office hours)
-Friday 2pm-4pm Room 4-270

I have put a few problems online, under the title Review Problems 3, that I'm planning on discussing during those review sessions.

A few comments:
- Even though the review problems cover mostly 'recent' stuff, every thing we've covered in class is 'fair game' to be asked at the final. Hence, my advice is to review carefully:
  -your psets
  -your previous quizzes, to know what mistakes you made.
-The 2 review sessions should be pretty similar. I'm just having 2 of them to accomodate your schedules.
- Don't spend too much time on those review problems: Remember that there's a reason for which the last week has no pset due... When taking 1 or several finals, having slept a decent night is also a very important factor !

Best,
Sacha

1- I've posted a few review problems under the homework session. These are the problems I'll be discussing in sunday's review session (and/or at the end of tonight's office hours), so feel free to practice.
2- For the quiz don't forget to bring a calculator.
3- Sunday's review session will be in room 1-190 from 1:30pm to 3:30pm

Dear class,

Here's a list of Topics from which the questions in quiz 2 will be drawn

Laplace transforms
Deriving transfer functions
    by impedance methods
    from state equations
    from ODE
Partial fraction expansion
Closed-loop transfer function
Control of velocity (P, PI)
Control of position (P, PD)
Poles and zeros
Effect of pole location on transient response
    first-order system
    second-order system
Measures of response
    rise time, peak time, overshoot, settling time
Converting transfer function to state equations
Root locus
Modeling