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bode_approx - Bode Plot Straight Line Approximation ME365...

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ME365 Dynamic System Response 1 Bode Plot Straight Line Approximation

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ME365 Dynamic System Response 2 Frequency Response Ex: Find the frequency response function of the following 1st order system and sketch its Bode plot. 10 0 10 2 10 4 -150 -100 -50 0 Frequency (rad/sec) Phase (deg) 10 0 10 2 10 4 dB Magnitude
ME365 Dynamic System Response 3 MATLAB omega =0:0.01:10000; MagG = 10./sqrt(0.05*omega.^2+1); % magnitude MagGdb = 20*log10(MagG); % magnitude in dB ArgG = -atan(0.05*omega); % phase in radian ArgG = ArgG*180/pi; % phase in degree semilogx(omega, MagGdb); semilogx(omega, ArgG); g = tf([10],[0.05 1]); % transfer function Bode(g); % Bode plot 1 05 . 0 10 j G 1 05 . 0 10 s G

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ME365 Dynamic System Response 4 Bode Plot Straight Line Approximation 2 nd Order Systems Magnitude Identify K, res , n , |G| max K from low frequency to n Draw roll off down from n at -40 dB/dec Draw |G| max at res Phase 0° from low frequency to 10 - z n -180° from 10 + z n to high frequency

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