This example shows how to use response plots to analyze batch linearization results in Model Linearizer. The term batch linearization results refers to linearizations for varying parameter values, such as illustrated in Batch Linearize Model for Parameter Value Variations Using Model Linearizer. You can use the techniques illustrated in this example to analyze the frequency response, stability, and other system characteristics for batch linearization results.
For this example, suppose that you have batch linearized a model as described in
Batch Linearize Model for Parameter Value Variations Using Model Linearizer. You have generated a step response plot of an array of linear models computed for
a 2-D parameter grid, with variations of outer-loop controller gains
When you perform batch linearization, Model Linearizer generates a plot showing the responses of all linear models resulting from the linearization. You choose the response plot type, such as Step, Bode, or Nyquist, when you linearize. You can create additional plots at any time as described in Analyze Results Using Model Linearizer Response Plots.
To view the parameters associated with a particular response, click the response on the plot.
A data tip appears on the plot, providing information about the selected response
and the related model. The last lines of the data tip show the parameter combination
that yielded this response. For example, in this plot, the selected response
corresponds to the model obtained by setting
Suppose you want to view the responses for only the models linearized at a
Ki1 value, the middle value
0.0410. Right-click the plot and select Array
Selector. The Model Selector for LTI Arrays dialog box opens.
The Selection Criterion Setup panel contains two columns, one
for each model array dimension of
Linearizer flattens the 2-D parameter grid into a one-dimensional array, so
that variations in both
represented along the indices shown in column 1. To determine
which entries in this array correspond to
Ki1 = 0.0410, examine
the Parameter Variations table.
Ki1 = 0.0410 values are the seventh to twelfth entries in
this table. Therefore, you want to select array indices 7–12.
In the Model Selector for LTI Arrays dialog box, enter
in the field below column 1. The selection in the column changes
to reflect this subset of the array.
Click OK. The step plot displays responses only for the
Ki1 = 0.0410.
You can export the model array to the MATLAB® workspace to perform further analysis or control design. To do so, in the Model Linearizer, in the Data Browser, drag the array from Linear Analysis Workspace to the MATLAB workspace.
You can then use Control System Toolbox™ control design tools, such as the Linear
System Analyzer app, to analyze linearization results. Or, use Control System Toolbox control design tools, such as
pidtune or Control System Designer, to design controllers for the linearized