Talk:Controls/Spring 2012/Test 1

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General Questions

Post general questions or requests for clarification here.

Requests for equations should go here. Start your request with an asterisk and end it with your signature, which is four tildes. For example:

* Damping ratio for a second-order system (4.39, p. 180)? ~~~~

will show up, for Dr. G, as:

Damping ratio for a second-order system (4.39, p. 180)? DukeEgr93 13:28, 16 February 2012 (EST)

When I respond, I will move the request to the response page and it will look like:

Damping ratio for a second-order system (4.39, p. 180)? DukeEgr93 13:28, 16 February 2012 (EST)
- Will add DukeEgr93 13:28, 16 February 2012 (EST)

This is the equations page for Controls/Spring_2012/Test_1

Here is a link to the equation sheet: Equation Sheet The draft includes the following:

1st Order Rise Time (4.9, p. 167)
1st Order Settling Time (4.10, p. 167)
2nd Order Peak Time (4.34, p. 179)
2nd Order %OS (4.38, p. 180)
2nd Order Damping Ratio (4.39, p. 180)
2nd Order Settling time (4.42, p. 181)
2nd Order Damped Frequency (in 4.44, p. 182)
2nd Order Normalized Rise Time (footnote 5, p. 181)

$\begin{align} T&=\frac{G_{eq}}{1+G_{eq}}\\ G_{eq}&=\frac{N_G}{D_G}\\ T&=\frac{N_G}{D_G+N_G} \end{align}$

Laplace Transform Table (Table 2.1, p. 36)? - not needed
Op amp general gains (2.97, p. 59 and 2.103, p.60) - must memorize inverting/non-inverting paradigms and gains
Mechanical rotation and translation impedances (Table 2.4 on p.62 and Table 2.5 on p. 70) - must memorize
General 2nd order transfer function (4.22, p. 174) - need to memorize - note that to be truly general there needs to be a multiplicative constant $K$ in front of all that.
Mason's Rule (5.28, p. 252) - need to memorize that and what the terms mean.