ECE 382/Spring 2010/Test 2/RSR

The following is the list of approved or denied equations for Test 2 for ECE 382 Spring 2010. For an example equation sheet from Spring 2009, 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 / Must Memorize / 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