H (dB) 0 1 10 100 ? (rad/s) +20 dB/decade -40 dB/decade
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These frequencies correspond to the points where the magnitude of the transfer function is -3 dB (or 0.707 in linear scale). Show more…
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Find the transfer function H(w) with the Bode magnitude plot shown below. H(dB) 20 -20 dB/decade 0 -20 2 20 100 w (rad/s) H(w) = (2 + jw) / ((20 + jw)(100 + jw)) H(w) = 100(2 + jw) / ((20 + jw)(100 + jw)) H(w) = 100(2 + jw) / ((20 + jw)(10 + jw)) H(w) = 1000(2 + jw) / ((20 + jw)(100 + jw))
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The asymptotes of the Bode plot magnitude of a minimum-phase system are given in the following sketch. Slopes are given in dB per decade. Write out the transfer function of this system. Show your work for complete credit. Use the MATLAB bode command to plot your results. dB -40 dB/decade 15 dB 2 rad/s 5 rad/s 20 rad/s 100 rad/s resonance bump 1 rad/s -60 dB/decade -20 dB/decade 0 dB/decade -20 dB/decade
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Example 3: Find the Bode log magnitude and phase angle plot for the transfer function, TF = 200(s + 20) / [s(2s + 1)(s + 40)] = 100(s/20 + 1) / [s(s/0.5 + 1)(s/40 + 1)], k=100, zero at s=-20, pole at s=0, -0.5, -40
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