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Lesson 15: Bode Plots of Transfer Functions

10/28/2015 1 Lesson 15: BODE Plots OF Transfer Functions ET 438a Automatic Control Systems Technology 1 Learning Objectives 2 After this presentation you will be able to: Compute the magnitude of a Transfer function for a given radian frequency . Compute the phase shift of a Transfer function for a given radian frequency . Construct a Bode plot that shows both magnitude and phase shift as Functions of Transfer function input frequency Use MatLAB instructions it produce Bode Plots of Transfer Functions . 10/28/2015 2 Construction of Bode Plots 3 Bode Plots consist of two individual graphs: a) a semilog plot of gain vs frequency b) a semilog plot of phase shift vs frequency . frequency is the logarithmic axis on both Plots . Bode Plots of Transfer Functions give the frequency response of a control system To compute the points for a Bode Plot: 1) Replace Laplace variable, s, in Transfer function with jw 2) Select frequencies of interest in rad/sec (w=2pf) 3) Compute magnitude and phase angle of the resulting complex expression.

Bode plots of transfer functions give the frequency response of a control system To compute the points for a Bode Plot: 1) Replace Laplace variable, s, in transfer function with jw 2) Select frequencies of interest in rad/sec (w=2pf) 3) Compute magnitude and …

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