Talk:ECE 382/Spring 2009/Test 2

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General Questions

Post general questions or requests for clarification here.

  • For the 2008 test, problem III, part d, is the reasoning in the answer key that the calculated value for \(\omega_d\) is too different from \(\omega_n\), so the extra zero/pole have an effect? Nbb5 22:56, 24 March 2009 (EDT)
  • Should we know how to use the equation that solves the phase space matrix, \(\frac{Y}{U}=C(sI-A)^{-1}B+D\)? Nbb5 22:56, 24 March 2009 (EDT)
  • In a translational system, like in Problem III of 2005 Test I, how do you know how many storage elements there are? Also, how do you know what to label as state variables? Ceh23 11:31, 25 March 2009 (EDT)
  • How does the relationship between wn and wd affect the physical properties of the system Ceh23 11:34, 25 March 2009 (EDT)?

Community Equations

Requests

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. 171)? ~~~~

will show up, for Dr. G, as:

  • Damping ratio for a second-order system? DukeEgr93 02:20, 23 March 2009 (EDT)
    • Will add DukeEgr93 22:41, 23 March 2009 (EDT)
  • Damping ratio for a second-order system (4.39, p. 171)? (couldn't tell if this was just for an example or if it's already approved) Pcw4 19:46, 24 March 2009 (EDT)
  • Motor transfer function constants (2.162 & 2.163, p. 79)? Pcw4 19:46, 24 March 2009 (EDT)
  • Formula for wd (frequency at which a system actually oscillates)? Nah12 22:40, 24 March 2009 (EDT)
  • Formula for all of the errors and kp,kv,ka values? Ppj3 00:02, 25 March 2009 (EDT)

Responses

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
Failed to parse (: Invalid response ("Math extension cannot connect to Restbase.") from server "http://wikimedia.org/api/rest_v1/":): {\displaystyle \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
Failed to parse (: Invalid response ("Math extension cannot connect to Restbase.") from server "http://wikimedia.org/api/rest_v1/":): {\displaystyle \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
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