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Unformatted text preview: tant is 1/(ζωn), indicating
For ζ>1, we cannot define peak time, peak
value, percent overshoot. (5%) (2%)
9 P.O. vs. damping ratio 10 Pole locations of G
Poles Damping ratio
Damping Next, we clarify the influence of
pole location on step response.
11 12 Influence of real part of poles Influence of imag. part of poles
Oscillation frequency ωd increases.
increases. Settling time ts decreases.
13 Influence of angle of poles 14 An example Over/under-shoot decreases.
Over/under Require 5% settling time ts < tsm (given):
Require Im Re 15 16 An example (cont’d) An example (cont’d) Require PO < POm (given):
Require Combination of two requirements
Im Im Re Re 17 18 Exercises
(Use a calculator if necessary.) Summary
Transient response of 2nd-order system is
characterized by Read the related topics from the textbook.
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This document was uploaded on 03/02/2014 for the course ME 451 at Michigan State University.
- Spring '08