Simulink Control Design™ - MathWorks

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Frequency Response Estimation Basics


Frequency response describes the steady-state response of a system to sinusoidal inputs.
Simulink Control Design lets you estimate the frequency response of a model or perform
online estimation of a physical plant. The result is a frequency response model, stored as
an frd model object. Applications of frequency response models include:


  • Validate exact linearization results. Frequency response estimation uses a different
    algorithm to compute a linear model approximation and serves as an independent test
    of exact linearization.

  • Analyze linear model dynamics or design a controller for the plant represented by the
    estimated frequency response.

  • Estimate a parametric model using System Identification Toolbox software.


Frequency Response Models


Consider applying a sinusoidal input of frequency ω to a linear system:

ut =Ausinωt.

The result is an output that is also a sinusoid with the same frequency, but with a different
amplitude and phase θ:

yt =Aysinωt+θ.

5 Frequency Response Estimation

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