Difference between revisions of "ECE 382/Spring 2009/Test 2/RSR"
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\(\begin{align}
G_{eq}&=\frac{T}{1-T}\\
T&=\frac{N_T}{D_T}\\
G_{eq}&=\frac{N_T}{D_T-N_T}
\end{align}\)
\(\begin{align}
T&=\frac{G_{eq}}{1+G_{eq}}\\
G_{eq}&=\frac{N_G}{D_G}\\
T&=\frac{N_G}{D_G+N_G}
\end{align}\)
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| − | + | COMPLETE as of 13:12, 25 March 2009 (EDT)~ See [http://www.duke.edu/~mrg/ECE141/eqns2s09.pdf Equation Sheet] | |
==== Approved ==== | ==== Approved ==== | ||
| − | * Peak | + | ===== Chapter 2 ===== |
| − | <center> | + | * Motor Equation (2.153) |
| − | <math> | + | ===== Chapter 4 ===== |
| − | \begin{align} | + | * 1st Order Rise Time (4.9, 159) |
| − | + | * 1st Order Settling Time (4.10, p. 159) | |
| − | \end{align} | + | * 2nd Order Peak Time (4.34, p. 171) |
| − | </math> | + | * 2nd Order %OS (4.38, p. 171) |
| − | </center> | + | * 2nd Order Damping Ratio (4.39, p. 171) |
| − | ==== Denied ==== | + | * 2nd Order Settling time (4.42, p. 172) |
| + | * 2nd Order Damped Frequency (4.44, p. 173) | ||
| + | * 2nd Order Normalized Rise Time (footnote 5, p. 173) | ||
| + | ===== Other ===== | ||
| + | * Geq from T for unity feedback | ||
| + | <center><math>\begin{align} | ||
| + | G_{eq}&=\frac{T}{1-T}\\ | ||
| + | T&=\frac{N_T}{D_T}\\ | ||
| + | G_{eq}&=\frac{N_T}{D_T-N_T} | ||
| + | \end{align}</math></center> | ||
| + | * T from Geq for unity feedback | ||
| + | <center><math>\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}</math></center> | ||
| + | |||
| + | |||
| + | ==== Denied / Not Needed==== | ||
| + | * Motor transfer function constants (2.162 & 2.163, p. 79) - will not need | ||
| + | * Transfer function from state space (3.73, p. 133) - will not need | ||
| + | * General 2nd order transfer function (4.22, p. 166) - need to memorize | ||
* Mason's Rule (5.28, p. 240) - need to memorize that and what the terms mean. | * Mason's Rule (5.28, p. 240) - need to memorize that and what the terms mean. | ||
| + | * Formula for system type, static error constants, and steady state errors (Table 7.2, p. 336) - need to memorize | ||
Latest revision as of 00:42, 4 January 2013
COMPLETE as of 13:12, 25 March 2009 (EDT)~ See Equation Sheet
Approved
Chapter 2
- Motor Equation (2.153)
Chapter 4
- 1st Order Rise Time (4.9, 159)
- 1st Order Settling Time (4.10, p. 159)
- 2nd Order Peak Time (4.34, p. 171)
- 2nd Order %OS (4.38, p. 171)
- 2nd Order Damping Ratio (4.39, p. 171)
- 2nd Order Settling time (4.42, p. 172)
- 2nd Order Damped Frequency (4.44, p. 173)
- 2nd Order Normalized Rise Time (footnote 5, p. 173)
Other
- Geq from T for unity feedback
- T from Geq for unity feedback
Denied / Not Needed
- Motor transfer function constants (2.162 & 2.163, p. 79) - will not need
- Transfer function from state space (3.73, p. 133) - will not need
- General 2nd order transfer function (4.22, p. 166) - need to memorize
- Mason's Rule (5.28, p. 240) - need to memorize that and what the terms mean.
- Formula for system type, static error constants, and steady state errors (Table 7.2, p. 336) - need to memorize
