lecture12

lecture12 - MAE 171A: Dynamic Systems Control Lecture 12:...

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Unformatted text preview: MAE 171A: Dynamic Systems Control Lecture 12: Bode and Nyquist Plot Goele Pipeleers Recall From Lecture 1 Frequency Response Function (FRF) the FRF G ( j ) of a system G with impulse response g ( t ) and transfer function G ( s ) equals Fourier transform of impulse response: G ( j ) = F{ g ( t ) } transfer function evaluated on imaginary axis: G ( j ) = G ( s ) s = j G ( j ) determines the steady-state response to a harmonic input set u ( t ) = sin( t ) then y ss ( t ) = | G ( j ) | sin ( t + ( G ( j ) )) 1 In This Lecture representation of a systems FRF in Bode and Nyquist plots sketching rules for asymptotic Bode plot 2 Two Ways To Represent an FRF for a given , G ( j ) is a complex number Bode plot: plot modulus | G ( j ) | and argument G ( j ) as a function of logaritmic scale modulus in dB: 20log 10 ( G ( j )) , and argument in degrees Nyquist plot: plot G ( j ) for : 0 in the complex plane curve in the complex plane, parameterized by 3...
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lecture12 - MAE 171A: Dynamic Systems Control Lecture 12:...

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