Bode_plot-summary - • At second-order break points,...

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EEL 3657 Linear Control Systems Summary of Bode Plot Rules 1. Rewrite the open-loop transfer function G(s) as a product of basic factors discussed. 2. Identify the break frequency associated with these basic factors. 3. Draw the individual asymptotic log-magnitude curves with proper slopes: Extend the low-frequency asymptote until the first frequency break point; Step the slope by 1 ± or 2 ± depending on whether the break point is from a first- or second- order term in the numerator or denominator. 4. Add individual curves. 5. The exact curve, which lies close to the asymptotic curve, can be obtained by adding proper corrections: Increase the asymptotic value by a factor of +3db at first-order numerator break points, and decrease it by a factor of –3db at first-order denominator break points.
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Unformatted text preview: • At second-order break points, sketch in the resonant peak (or valley) according to Figure 9.11(a) using the relation |G(j ϖ )|(db)=–20log(2 ξ ) at denominator (or |G(j )|(db)=20log(2 ) at numerator) break points. 6. Sketch in the approximate phase curve by changing the phase by 90 ± or 180 ± at each break point in ascending order: • For each first-order term in the numerator, the change of phase is 90 + ; • For each first-order term in the denominator, the change of phase is 90-; • For each second-order term in the numerator, the change of phase is 180 + ; • For each second-order term in the denominator, the change of phase is 180-....
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This note was uploaded on 01/14/2012 for the course EEL 3657 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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