This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: φ p = 180 ◦-X i 6 p i + X j 6 z j ; φ z = 180 ◦ + X i 6 p i-X j 6 z j • Bode Plot Resonant frequency, ω r = ω n q 1-2 ζ 2 for ≤ ζ ≤ . 707 Maximum peak at resonant frequency, M r = 1 2 ζ √ 1-ζ 2 • Nyquist Plot Gain Margin, G m G m = 1 | G ( jω ) | ω = ω π , ω π = phase crossover frequency. Phase Margin, φ PM . φ PM = 180 ◦ + 6 G ( jω ) | ω = ω c , ω c = gain crossover frequency. • Compensator Design zero location = ω n cos( θ + φ 2 ) cos( θ-φ 2 ) , pole location = ω n cos( θ-φ 2 ) cos( θ + φ 2 ) . α = 1-sin φ 1 + sin φ ; sin φ = 1-α 1 + α 2...
View Full Document
This note was uploaded on 02/04/2012 for the course ECE 382 taught by Professor Staff during the Spring '08 term at Purdue.
- Spring '08