MECH466 - Lecture15-FrequencyResponse-2009W

MECH466 Lecture15-FrequencyResponse-2009W

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Unformatted text preview: 8/09 MECH466 : Automatic Control -1 10 0 10 1 10 MECH466 : Automatic Control 2 10 22 Remarks on Bode diagram Bode diagram shows amplification and phase Bode shift of a system output for sinusoidal inputs with various frequencies. It is very useful and important in analysis and It design of control systems. The shape of Bode plot contains information of The stability, time responses, and much more! It can also be used for system identification. It (Given FRF experimental data, obtain a transfer function that matches the data.) 23 2008/09 MECH466 : Automatic Control 24 6 System identification Summary and exercises Sweep frequencies of sinusoidal signals and Sweep obtain FRF data (i.e., gain and phase). Select G(s) so that G(jω) fits the FRF data. Select G(s) Frequency response Frequency Steady state response to a sinusoidal input Steady For a linear system, sinusoidal input generates For sinusoidal output with same frequency but different amplitude and phase. phase. Agilent Technologies: FFT Dynamic Signal Analyzer Generate sin signals Sweep frequencies Bode plot is a graphical representation of Bode frequency response function. (“bode.m”) (“ bode.m” Exercises Exercises Collect FRF data Select G(s) G(s) Read Section 10.1. Read Solve Problem 10.1. Solve Unknown system 2008/09 MECH466 : Automatic Control 25 2008/09 MECH466 : Automatic Control 26 Derivation of frequency response Another example of FRF Second order system Second Term having denominator of G(s) G(s) Im 0 as t goes to infinity. Re 2008/09 MECH466 : Automatic Control 27 2008/09 MECH466 : Automatic Control 28 7...
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This document was uploaded on 03/05/2014 for the course MECH 466 at University of British Columbia.

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