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

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As of 02:17, 23 March 2009 (EDT)
 
As of 02:17, 23 March 2009 (EDT)
 
==== Approved ====
 
==== Approved ====
* Peak time for a second order system (4.34, p. 171)
+
===== Chapter 2 =====
<center>
+
* Motor Equation (2.153)
<math>
+
===== Chapter 4 =====
\begin{align}
+
* 1st Order Rise Time (4.9, 159)
T_p=\frac{\pi}{\omega_n\sqrt{1-\zeta^2}}  
+
* 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 Settling time (4.42, p. 172)
 +
* 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 ====
 
==== Denied ====
 
* 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.

Revision as of 14:41, 24 March 2009

As of 02:17, 23 March 2009 (EDT)

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 Settling time (4.42, p. 172)
  • 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

  • Mason's Rule (5.28, p. 240) - need to memorize that and what the terms mean.