Talk:ECE 382/Spring 2009/Test 2

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)

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