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