Difference between revisions of "ECE 382/Spring 2009/Test 2/RSR"

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As of 02:17, 23 March 2009 (EDT)
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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 time for a second order system (4.34, p. 171)
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===== Chapter 2 =====
<center>
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* Motor Equation (2.153)
<math>
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===== Chapter 4 =====
\begin{align}
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* 1st Order Rise Time (4.9, 159)
T_p=\frac{\pi}{\omega_n\sqrt{1-\zeta^2}}  
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* 1st Order Settling Time (4.10, p. 159)
\end{align}
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* 2nd Order Peak Time (4.34, p. 171)
</math>
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* 2nd Order %OS (4.38, p. 171)
</center>
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* 2nd Order Damping Ratio (4.39, p. 171)
==== Denied ====
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* 2nd Order Settling time (4.42, p. 172)
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* 2nd Order Damped Frequency (4.44, p. 173)
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* 2nd Order Normalized Rise Time (footnote 5, p. 173)
 +
===== Other =====
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* Geq from T for unity feedback
 +
<center><math>\begin{align}
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G_{eq}&=\frac{T}{1-T}\\
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T&=\frac{N_T}{D_T}\\
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G_{eq}&=\frac{N_T}{D_T-N_T}
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\end{align}</math></center>
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* T from Geq for unity feedback
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<center><math>\begin{align}
 +
T&=\frac{G_{eq}}{1+G_{eq}}\\
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G_{eq}&=\frac{N_G}{D_G}\\
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T&=\frac{N_G}{D_G+N_G}
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\end{align}</math></center>
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 +
 
 +
==== 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
\(\begin{align} G_{eq}&=\frac{T}{1-T}\\ T&=\frac{N_T}{D_T}\\ G_{eq}&=\frac{N_T}{D_T-N_T} \end{align}\)
  • T from Geq for unity feedback
\(\begin{align} T&=\frac{G_{eq}}{1+G_{eq}}\\ G_{eq}&=\frac{N_G}{D_G}\\ T&=\frac{N_G}{D_G+N_G} \end{align}\)


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