6.302 Lab 1D Report - Michael Salib
6.302 Lab 1D Report - Michael Salib
6.302 Lab 1D Report - Michael Salib
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Amplitude<br />
0.06<br />
0.05<br />
0.04<br />
0.03<br />
0.02<br />
0.01<br />
<strong>6.302</strong> <strong>Lab</strong> <strong>1D</strong> <strong>Report</strong><br />
<strong>Michael</strong> <strong>Salib</strong><br />
October 31, 2002<br />
Error response to a Ramp<br />
0<br />
0 0.05 0.1 0.15 0.2<br />
Time (sec)<br />
0.25 0.3 0.35 0.4<br />
1
Amplitude<br />
Amplitude<br />
0.06<br />
0.05<br />
0.04<br />
0.03<br />
0.02<br />
0.01<br />
Error Response to a Ramp Input<br />
0<br />
0 0.1 0.2 0.3<br />
Time (sec)<br />
0.4 0.5 0.6<br />
0.014<br />
0.012<br />
0.01<br />
0.008<br />
0.006<br />
0.004<br />
0.002<br />
Integrated Error Response to a Ramp Input<br />
0<br />
0 0.1 0.2 0.3<br />
Time (sec)<br />
0.4 0.5 0.6<br />
<br />
<br />
<br />
ζ =<br />
(ln Po − 1) 2<br />
π 2 + (ln Po − 1) 2<br />
2
ωn =<br />
<br />
<br />
<br />
1<br />
±<br />
<br />
ζ =<br />
ωn =<br />
ωd<br />
√ 1 − ζ 2<br />
<br />
1 − 1<br />
M 2 p<br />
2<br />
ωp<br />
√ 1 − 2ζ 2<br />
3