Difference between revisions of "Controls/Spring 2011/Test 1/RSR"
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\(\begin{align}
T&=\frac{G_{eq}}{1+G_{eq}}\\
G_{eq}&=\frac{N_G}{D_G}\\
T&=\frac{N_G}{D_G+N_G}
\end{align}\)
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| + | ==Update== | ||
| + | The equation sheet for Test 1 for Spring 2011 is now available: [http://www.duke.edu/~mrg/Controls/Equations/eqnss11.pdf Equation Sheet]. You will be provided a copy for the test; you do not need to print your own. | ||
| + | |||
The following is the list of approved or denied equations for [[Controls/Spring 2011/Test 1|Test 1]] for [[Controls/Spring 2011|Controls Spring 2011]]. | The following is the list of approved or denied equations for [[Controls/Spring 2011/Test 1|Test 1]] for [[Controls/Spring 2011|Controls Spring 2011]]. | ||
| Line 7: | Line 10: | ||
==== Approved ==== | ==== Approved ==== | ||
===== Chapter 2 ===== | ===== Chapter 2 ===== | ||
| − | * Motor | + | * Motor equation (2.153, p. 81) |
| + | * Motor transfer function constants (2.159, 2.162 & 2.163, p. 82) | ||
===== Chapter 4 ===== | ===== Chapter 4 ===== | ||
| − | * 1st Order Rise Time (4.9, | + | * 1st Order Rise Time (4.9, p. 167) |
| − | * 1st Order Settling Time (4.10, p. | + | * 1st Order Settling Time (4.10, p. 167) |
| − | * 2nd Order Peak Time (4.34, p. | + | * 2nd Order Peak Time (4.34, p. 179) |
| − | * 2nd Order %OS (4.38, p. | + | * 2nd Order %OS (4.38, p. 180) |
| − | * 2nd Order Damping Ratio (4.39, p. | + | * 2nd Order Damping Ratio (4.39, p. 180) |
| − | * 2nd Order Settling time (4.42, p. | + | * 2nd Order Settling time (4.42, p. 181) |
| − | * 2nd Order Damped Frequency (4.44, p. | + | * 2nd Order Damped Frequency (in 4.44, p. 182) |
| − | * 2nd Order Normalized Rise Time (footnote 5, p. | + | * 2nd Order Normalized Rise Time (footnote 5, p. 181) |
===== Other ===== | ===== Other ===== | ||
* T from Geq for unity feedback | * T from Geq for unity feedback | ||
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==== Denied / Must Memorize / Not Needed==== | ==== Denied / Must Memorize / Not Needed==== | ||
| − | * | + | * Laplace Transform Table (Table 2.1, p. 36)? - not needed |
| − | * General 2nd order transfer function (4.22, p. | + | * Op amp general gains (2.97, p. 59 and 2.103, p.60) - must memorize inverting/non-inverting paradigms and gains |
| − | * Mason's Rule (5.28, p. | + | * 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 <math>K</math> in front of all that. | ||
| + | * Mason's Rule (5.28, p. 252) - need to memorize that and what the terms mean. | ||
{{Protected Class Document}} | {{Protected Class Document}} | ||
Latest revision as of 22:11, 1 March 2011
Contents
Update
The equation sheet for Test 1 for Spring 2011 is now available: Equation Sheet. You will be provided a copy for the test; you do not need to print your own.
The following is the list of approved or denied equations for Test 1 for Controls Spring 2011.
Approved
Chapter 2
- Motor equation (2.153, p. 81)
- Motor transfer function constants (2.159, 2.162 & 2.163, p. 82)
Chapter 4
- 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)
Other
- T from Geq for unity feedback
Denied / Must Memorize / Not Needed
- 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.
