Bode - Bode gain Bode Diagram 33.5 33 Magnitude (dB) Phase...

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Bode gain 31 31.5 32 32.5 33 33.5 Magnitude (dB) 10 0 10 1 -1 -0.5 0 0.5 1 Phase (deg) Bode Diagram Frequency (rad/sec)
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Integrator 10 -1 10 0 10 1 -91 -90.5 -90 -89.5 -89 Phase (deg) -20 -15 -10 -5 0 5 10 15 20 Magnitude (dB) Bode Diagram Frequency (rad/sec)
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Derivative -20 -15 -10 -5 0 5 10 15 20 Magnitude (dB) 10 -1 10 0 10 1 89 89.5 90 90.5 91 Phase (deg) Bode Diagram Frequency (rad/sec)
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Real pole
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Real zero
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Complex pole
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Complex zero
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Example 1: Construction of Bode Diagram 2 2 2 Given the transfer function 60( s 5 ) G( s ) s( s 0.5 )( s 0.2s 150 ) Conversion to Bode form: 60 5 s 1 0.5 150 5 ss 0 . 2 s1 s 1 0.5 150 150 Frequency Response j 41 5 G( j ) j j1 0.5 15 ω ωω + = ++ +  +   = + + = + 0.2 0 150 + +
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Example 1: Gain Asymptotes 1 s 1 5 s + 1 05 s . + 2 02 1 150 150 s. s + + 10 20 4 log gain [db] [rad/sec] ω -20 db/dec -40 db/dec -20 db/dec -60 db/dec
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Example 1: Gain Comparison gain [db] [rad/sec] ω exact asymptote
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Example 1: Phase Asymptotes B K 1 s 1 5 s + 1 05 s . + 2 02 1 150 150 s. s + + phase [degrees] [rad/sec] ω
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Example 1: Phase Comparison [rad/sec] ω
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Example 2: Computing A Transfer Function -20 db/dec -40 db/dec -40 db/dec -60 db/dec
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Example 2: Computing A Transfer Function 1. At low frequencies slope –40 db/dec
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Bode - Bode gain Bode Diagram 33.5 33 Magnitude (dB) Phase...

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