## Estimate Frequency Response with Linearization-Based Input Using Model Linearizer

When you have a linear model representing the portion of your
Simulink^{®} model that you want to estimate, you can use that model to generate the input
signal. This alternative to manually specifying the estimation signal (as shown in Estimate Frequency Response Using Model Linearizer) can
be useful when you are using frequency response estimation to validate a model obtained
through linearization. This example shows how to perform frequency response estimation in
Model Linearizer using an input signal that is based on the dynamics of an
exact linearization of the model.

### Linearize Simulink Model

In this example, linearize a Simulink model to obtain the linear model you use to generate the estimation input signal.

Open the Simulink model.

`sys = 'scdDCMotor'; open_system(sys)`

This model contains predefined linear analysis points. There is an input point at the compensator output and an open-loop output after the unit gain block. The response from the defined input to the defined output is the response of the inner loop of the model, with the outer loop open.

In the Simulink model window, in the

**Apps**gallery, click**Model Linearizer**.Linearize the model using the predefined analysis points and using the model initial conditions as the operating point.

On the

**Linear Analysis**tab, click**Bode**.A new linearized model,

`linsys1`

, appears in the**Linear Analysis Workspace**.

### Create Sinestream Input Signal

On the

**Estimation**tab, in the**Input Signal**drop-down list, select`Sinestream`

.Initialize the input signal frequencies and parameters based on

`linsys1`

.In the Create sinestream input dialog box, in the

**System**drop-down list, select`linsys1`

. If`linsys1`

does not appear in the list, click**Refresh**.Click

**Initialize frequencies and parameters**The frequency content viewer is populated with frequency points. The software chooses the frequencies and input signal parameters automatically based on the dynamics of

`linsys1`

. The software also automatically initializes other parameters of the sinestream signal, including:Amplitude

Number of periods

Settling periods

Ramp periods

Number of samples at each period

Select all the frequency points.

Specify the amplitude of the input signal.

Enter

`1`

in the**Amplitude**box.Create the input sinestream signal.

Click

**OK**. The input signal`in_sine1`

appears in the**Linear Analysis Workspace**.

### Estimate Frequency Response

Click
**Bode Plot 1** to estimate the frequency response.

The estimated system, `estsys1`

, appears in the **Linear
Analysis Workspace** and the its frequency response is added to **Bode
Plot 1**.

The frequency response for the estimated model matches that of the linearized model. You can use this approach to validate an exact linearization.